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1

Murat, Baykal *1 Kenan Gençol 2. "PERFORMANCE EVALUATION OF SINGLE-TONE FREQUENCY ESTIMATORS UNDER NOISY AND IMPERFECT SIGNAL CONDITIONS." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, no. 12 (2017): 37–42. https://doi.org/10.5281/zenodo.1084976.

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It is well known that estimation of the parameters, in particular frequency a complex sinusoid contaminated with noise is one of the crucial problems in the literature as the frequency estimation has been applied in many areas such as communications, instrumentation and radar. There are three significant issues which are accuracy, estimator variance and sensitivity to bias that must be taken into consideration while finding the frequency of a sinusoid. In this study, performances of various estimators in estimating the frequency of single-tone signals are evaluated. Estimators are tested again
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2

Qiu, Li, Zhiyuan Ren, and Jie Chen. "Fundamental performance limitations in estimation problems." Communications in Information and Systems 2, no. 4 (2002): 371–84. http://dx.doi.org/10.4310/cis.2002.v2.n4.a3.

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Chen, Zhenmin, and Feng Miao. "Interval and Point Estimators for the Location Parameter of the Three-Parameter Lognormal Distribution." International Journal of Quality, Statistics, and Reliability 2012 (August 8, 2012): 1–6. http://dx.doi.org/10.1155/2012/897106.

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The three-parameter lognormal distribution is the extension of the two-parameter lognormal distribution to meet the need of the biological, sociological, and other fields. Numerous research papers have been published for the parameter estimation problems for the lognormal distributions. The inclusion of the location parameter brings in some technical difficulties for the parameter estimation problems, especially for the interval estimation. This paper proposes a method for constructing exact confidence intervals and exact upper confidence limits for the location parameter of the three-paramete
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Liu, Yu-Sun, Shingchern You, and Yu-Chun Lai. "Machine Learning-Based Channel Estimation Techniques for ATSC 3.0." Information 15, no. 6 (2024): 350. http://dx.doi.org/10.3390/info15060350.

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Channel estimation accuracy significantly affects the performance of orthogonal frequency-division multiplexing (OFDM) systems. In the literature, there are quite a few channel estimation methods. However, the performances of these methods deteriorate considerably when the wireless channels suffer from nonlinear distortions and interferences. Machine learning (ML) shows great potential for solving nonparametric problems. This paper proposes ML-based channel estimation methods for systems with comb-type pilot patterns and random pilot symbols, such as ATSC 3.0. We compare their performances wit
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WALTHER, B. A., and S. MORAND. "Comparative performance of species richness estimation methods." Parasitology 116, no. 4 (1998): 395–405. http://dx.doi.org/10.1017/s0031182097002230.

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In most real-world contexts the sampling effort needed to attain an accurate estimate of total species richness is excessive. Therefore, methods to estimate total species richness from incomplete collections need to be developed and tested. Using real and computer-simulated parasite data sets, the performances of 9 species richness estimation methods were compared. For all data sets, each estimation method was used to calculate the projected species richness at increasing levels of sampling effort. The performance of each method was evaluated by calculating the bias and precision of its estima
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Gerstoft, Peter, and Ishan D. Khurjekar. "Uncertainty quantification for acoustical problems." Journal of the Acoustical Society of America 155, no. 3_Supplement (2024): A213. http://dx.doi.org/10.1121/10.0027342.

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Acoustical parameter estimation is a routine task in many domains and is typically done using signal processing methods. The performance of existing estimation methods is affected due to external uncertainty and yet the methods provide no measure of confidence in the outputs. Hence it is crucial to quantify uncertainty in the estimates before real-world deployment. Conformal prediction is a simple method to obtain statistically valid prediction intervals from an estimation model. In this work, conformal prediction is used for obtaining statistically valid uncertainty intervals for various acou
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Panić, Branislav, Jernej Klemenc, and Marko Nagode. "Improved Initialization of the EM Algorithm for Mixture Model Parameter Estimation." Mathematics 8, no. 3 (2020): 373. http://dx.doi.org/10.3390/math8030373.

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A commonly used tool for estimating the parameters of a mixture model is the Expectation–Maximization (EM) algorithm, which is an iterative procedure that can serve as a maximum-likelihood estimator. The EM algorithm has well-documented drawbacks, such as the need for good initial values and the possibility of being trapped in local optima. Nevertheless, because of its appealing properties, EM plays an important role in estimating the parameters of mixture models. To overcome these initialization problems with EM, in this paper, we propose the Rough-Enhanced-Bayes mixture estimation (REBMIX) a
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Mao, Zhi Jie, Zhi Jun Yan, Hong Wei Li, and Jin Meng. "Exact Cram’er–Rao Lower Bound for Interferometric Phase Estimator." Advanced Materials Research 1004-1005 (August 2014): 1419–26. http://dx.doi.org/10.4028/www.scientific.net/amr.1004-1005.1419.

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We are concerned with the problem of interferometric phase estimation using multiple baselines. Simple close-form efficient expressions for computing the Cramer-Rao lower bound (CRLB) for general phase estimation problems is derived. Performance analysis of the interferometric phase estimation is carried out based on Monte Carlo simulations and CRLB calculation. We show that by utilizing the Cramer-Rao lower bound we are able to determine the combination of baselines that will enable us to achieve the most accurate estimating performance.
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Guarino, Cassandra M., Mark D. Reckase, and Jeffrey M. Wooldridge. "Can Value-Added Measures of Teacher Performance Be Trusted?" Education Finance and Policy 10, no. 1 (2015): 117–56. http://dx.doi.org/10.1162/edfp_a_00153.

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We investigate whether commonly used value-added estimation strategies produce accurate estimates of teacher effects under a variety of scenarios. We estimate teacher effects in simulated student achievement data sets that mimic plausible types of student grouping and teacher assignment scenarios. We find that no one method accurately captures true teacher effects in all scenarios, and the potential for misclassifying teachers as high- or low-performing can be substantial. A dynamic ordinary least squares estimator is more robust across scenarios than other estimators. Misspecifying dynamic re
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Gao, Jing, Kehan Bai, and Wenhao Gui. "Statistical Inference for the Inverted Scale Family under General Progressive Type-II Censoring." Symmetry 12, no. 5 (2020): 731. http://dx.doi.org/10.3390/sym12050731.

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Two estimation problems are studied based on the general progressively censored samples, and the distributions from the inverted scale family (ISF) are considered as prospective life distributions. One is the exact interval estimation for the unknown parameter θ , which is achieved by constructing the pivotal quantity. Through Monte Carlo simulations, the average 90 % and 95 % confidence intervals are obtained, and the validity of the above interval estimation is illustrated with a numerical example. The other is the estimation of R = P ( Y < X ) in the case of ISF. The maximum likelihood e
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Liu, Shaojie, Yulong Zhang, Zhiqiang Gao, Yangquan Chen, Donghai Li, and Min Zhu. "Desired Dynamics-Based Generalized Inverse Solver for Estimation Problems." Processes 10, no. 11 (2022): 2193. http://dx.doi.org/10.3390/pr10112193.

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An important task for estimators is to solve the inverse. However, as the designs of different estimators for solving the inverse vary widely, it is difficult for engineers to be familiar with all of their properties and to design suitable estimators for different situations. Therefore, we propose a more structurally unified and functionally diverse estimator, called generalized inverse solver (GIS). GIS is inspired by the desired dynamics of control systems and understanding of the generalized inverse. It is similar to a closed-loop system, structurally consisting of nominal models and an err
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ODEN, J. TINSLEY, SERGE PRUDHOMME, TIM WESTERMANN, JON BASS, and MARK E. BOTKIN. "ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS." Mathematical Models and Methods in Applied Sciences 13, no. 03 (2003): 323–44. http://dx.doi.org/10.1142/s0218202503002520.

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In this paper, a method for deriving computable estimates of the approximation error in eigenvalues or eigenfrequencies of three-dimensional linear elasticity or shell problems is presented. The analysis for the error estimator follows the general approach of goal-oriented error estimation for which the error is estimated in so-called quantities of interest, here the eigenfrequencies, rather than global norms. A general theory is developed and is then applied to the linear elasticity equations. For the shell analysis, it is assumed that the shell model is not completely known and additional er
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Vakhania, Nodari. "Probabilistic quality estimations for combinatorial optimization problems." Georgian Mathematical Journal 25, no. 1 (2018): 123–34. http://dx.doi.org/10.1515/gmj-2017-0041.

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AbstractThe computational complexity of an algorithm is traditionally measured for the worst and the average case. The worst-case estimation guarantees a certain worst-case behavior of a given algorithm, although it might be rough, since in “most instances” the algorithm may have a significantly better performance. The probabilistic average-case analysis claims to derive an average performance of an algorithm, say, for an “average instance” of the problem in question. That instance may be far away from the average of the problem instances arising in a given real-life application, and so the av
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Ayansola, Olufemi, and Adebowale Adejumo. "On the Performance of Some Estimation Methods in Models with Heteroscedasticity and Autocorrelated Disturbances (A Monte-Carlo Approach)." Mathematical Modelling and Applications 9, no. 1 (2024): 23–31. http://dx.doi.org/10.11648/j.mma.20240901.13.

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The proliferation of panel data studies has been greatly motivated by the availability of data and capacity for modelling the complexity of human behaviour than a single cross-section or time series data and these led to the rise of challenging methodologies for estimating the data set. It is pertinent that, in practice, panel data are bound to exhibit autocorrelation or heteroscedasticity or both. In view of the fact that the presence of heteroscedasticity and autocorrelated errors in panel data models biases the standard errors and leads to less efficient results. This study deemed it fit to
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15

Nowak, Thorsten, and Andreas Eidloth. "Dynamic multipath mitigation applying unscented Kalman filters in local positioning systems." International Journal of Microwave and Wireless Technologies 3, no. 3 (2011): 365–72. http://dx.doi.org/10.1017/s1759078711000274.

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Multipath propagation is still one of the major problems in local positioning systems today. Especially in indoor environments, the received signals are disturbed by blockages and reflections. This can lead to a large bias in the user's time-of-arrival (TOA) value. Thus multipath is the most dominant error source for positioning. In order to improve the positioning performance in multipath environments, recent multipath mitigation algorithms based upon the concept of sequential Bayesian estimation are used. The presented approach tries to overcome the multipath problem by estimating the channe
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16

Hernández-Sanjaime, Rocío, Martín González, and Jose J. López-Espín. "Estimation of Multilevel Simultaneous Equation Models through Genetic Algorithms." Mathematics 8, no. 12 (2020): 2098. http://dx.doi.org/10.3390/math8122098.

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Problems in estimating simultaneous equation models when error terms are not intertemporally uncorrelated has motivated the introduction of a new multivariate model referred to as Multilevel Simultaneous Equation Model (MSEM). The maximum likelihood estimation of the parameters of an MSEM has been set forth. Because of the difficulties associated with the solution of the system of likelihood equations, the maximum likelihood estimator cannot be obtained through exhaustive search procedures. A hybrid metaheuristic that combines a genetic algorithm and an optimization method has been developed t
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Hedar, Abdel-Rahman, Amira A. Allam, and Alaa Fahim. "Estimation of Distribution Algorithms with Fuzzy Sampling for Stochastic Programming Problems." Applied Sciences 10, no. 19 (2020): 6937. http://dx.doi.org/10.3390/app10196937.

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Generating practical methods for simulation-based optimization has attracted a great deal of attention recently. In this paper, the estimation of distribution algorithms are used to solve nonlinear continuous optimization problems that contain noise. One common approach to dealing with these problems is to combine sampling methods with optimal search methods. Sampling techniques have a serious problem when the sample size is small, so estimating the objective function values with noise is not accurate in this case. In this research, a new sampling technique is proposed based on fuzzy logic to
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18

Jesús, A. Fajardo. "Boundary Estimation with the Fuzzy Set Regression Estimator." Divulgaciones Matemáticas 23-24, no. 1-2 (2024): 82–106. https://doi.org/10.5281/zenodo.11540455.

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In order to extend the properties of the fuzzy set regression estimation method and provide new results related to the nonparametric regression estimation problems not based on kernels, this paper analyzes the possible boundary effects, if any, of the fuzzy set regression estimator and presents a criterion to remove it. Moreover, a boundary fuzzy set estimator is proposedwhich is defined as a particular class of fuzzy set regression estimators, where the bias, variance, mean squared error and function that minimizes the mean squared error of the proposed estimator are
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19

Tikkiwal, G. C., та Piyush Kant Rai. "A COMPOSITE ESTIMATOR FOR SMALL DOMAINS AND ITS SENSITIVITY INTERVAL FOR WEIGHTS α?" Statistics in Transition new series 10, № 2 (2009): 269–75. http://dx.doi.org/10.59170/stattrans-2009-020.

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The composite estimation methods, suggested in the literature, have major problems to deal with the estimation of optimum weights to combine synthetic and direct estimators. To take care of the absence of optimum weights, we have obtained the sensible interval of involved weights in the form of better performance interval of the weights with a view to retaining superiority for the different composite estimators i.e. for the direct ratio vs. synthetic ratio composite estimator and simple direct vs. synthetic ratio composite estimator.
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20

Luan, Yusi, Mengxuan Jiang, Zhenxiang Feng, and Bei Sun. "Estimation of Feeding Composition of Industrial Process Based on Data Reconciliation." Entropy 23, no. 4 (2021): 473. http://dx.doi.org/10.3390/e23040473.

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For an industrial process, the estimation of feeding composition is important for analyzing production status and making control decisions. However, random errors or even gross ones inevitably contaminate the actual measurements. Feeding composition is conventionally obtained via discrete and low-rate artificial testing. To address these problems, a feeding composition estimation approach based on data reconciliation procedure is developed. To improve the variable accuracy, a novel robust M-estimator is first proposed. Then, an iterative robust hierarchical data reconciliation and estimation s
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21

Wang, Hongjian, Jinlong Xu, Aihua Zhang, Cun Li, and Hongfei Yao. "Support Vector Regression-Based Adaptive Divided Difference Filter for Nonlinear State Estimation Problems." Journal of Applied Mathematics 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/139503.

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We present a support vector regression-based adaptive divided difference filter (SVRADDF) algorithm for improving the low state estimation accuracy of nonlinear systems, which are typically affected by large initial estimation errors and imprecise prior knowledge of process and measurement noises. The derivative-free SVRADDF algorithm is significantly simpler to compute than other methods and is implemented using only functional evaluations. The SVRADDF algorithm involves the use of the theoretical and actual covariance of the innovation sequence. Support vector regression (SVR) is employed to
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Mahmoud, Magdi S. "Robust stability and ℋ∞-estimation for uncertain discrete systems with state-delay". Mathematical Problems in Engineering 7, № 5 (2001): 393–412. http://dx.doi.org/10.1155/s1024123x01001703.

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In this paper, we investigate the problems of robust stability and ℋ∞-estimation for a class of linear discrete-time systems with time-varying norm-bounded parameter uncertainty and unknown state-delay. We provide complete results for robust stability with prescribed performance measure and establish a version of the discrete Bounded Real Lemma. Then, we design a linear estimator such that the estimation error dynamics is robustly stable with a guaranteed ℋ∞-performance irrespective of the parameteric uncertainties and unknown state delays. A numerical example is worked out to illustrate the d
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Li, Z., and J. Wang. "Least squares image matching: A comparison of the performance of robust estimators." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences II-1 (November 7, 2014): 37–44. http://dx.doi.org/10.5194/isprsannals-ii-1-37-2014.

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Least squares image matching (LSM) has been extensively applied and researched for high matching accuracy. However, it still suffers from some problems. Firstly, it needs the appropriate estimate of initial value. However, in practical applications, initial values may contain some biases from the inaccurate positions of keypoints. Such biases, if high enough, may lead to a divergent solution. If all the matching biases have exactly the same magnitude and direction, then they can be regarded as systematic errors. Secondly, malfunction of an imaging sensor may happen, which generates dead or stu
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Wang, Ziyang, Peidong Wang, Jiasheng Wang, Peng Lou, and Juan Li. "State Estimation for Measurement-Saturated Memristive Neural Networks with Missing Measurements and Mixed Time Delays Subject to Cyber-Attacks: A Non-Fragile Set-Membership Filtering Framework." Applied Sciences 14, no. 19 (2024): 8936. http://dx.doi.org/10.3390/app14198936.

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This paper is concerned with the state estimation problem based on non-fragile set-membership filtering for a class of measurement-saturated memristive neural networks (MNNs) with unknown but bounded (UBB) noises, mixed time delays and missing measurements (MMs), subject to cyber-attacks under the framework of weighted try-once-discard protocol (WTOD protocol). Considering bandwidth-limited open networks, this paper proposes an improved set-membership filtering based on WTOD protocol to partially solve the problem that multiple sensor-related problems and multiple network-induced phenomena inf
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Lu, Yongzhong, Min Zhou, Shiping Chen, David Levy, and Jicheng You. "A Perspective of Conventional and Bio-inspired Optimization Techniques in Maximum Likelihood Parameter Estimation." Journal of Autonomous Intelligence 1, no. 2 (2018): 1. http://dx.doi.org/10.32629/jai.v1i2.28.

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Maximum likelihood estimation is a method of estimating the parameters of a statistical model in statistics. It has been widely used in a good many multi-disciplines such as econometrics, data modelling in nuclear and particle physics, and geographical satellite image classification, and so forth. Over the past decade, although many conventional numerical approximation approaches have been most successfully developed to solve the problems of maximum likelihood parameter estimation, bio-inspired optimization techniques have shown promising performance and gained an incredible recognition as an
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Standsyah, Rahmawati Erma, Bambang Widjanarko Otok, and Agus Suharsono. "Fixed Effect Meta-Analytic Structural Equation Modeling (MASEM) Estimation Using Generalized Method of Moments (GMM)." Symmetry 13, no. 12 (2021): 2273. http://dx.doi.org/10.3390/sym13122273.

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The fixed effect meta-analytic structural equation modeling (MASEM) model assumes that the population effect is homogeneous across studies. It was first developed analytically using Generalized Least Squares (GLS) and computationally using Weighted Least Square (WLS) methods. The MASEM fixed effect was not estimated analytically using the estimation method based on moment. One of the classic estimation methods based on moment is the Generalized Method of Moments (GMM), whereas GMM can possibly estimate the data whose studies has parameter uncertainty problems, it also has a high accuracy on da
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Geyda, Alexander, and Igor Lysenko. "System Potential Estimation with Regard to Digitalization: Main Ideas and Estimation Example." Information 11, no. 3 (2020): 164. http://dx.doi.org/10.3390/info11030164.

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The article outlines the main concept and examples of mathematical models needed to estimate system potential and digitalization performance indicators. Such an estimation differs in that it is performed with predictive mathematical models. The purpose of such an estimation is to enable a set of problems of system design and functional design of information technologies to be solved as mathematical problems, predictively and analytically. The hypothesis of the research is that the quality of system functioning in changing conditions can be evaluated analytically, based on predictive mathematic
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JAYASINGHE, CHATHURI L., and PANLOP ZEEPHONGSEKUL. "NONPARAMETRIC ESTIMATION OF THE REVERSED HAZARD RATE FUNCTION FOR UNCENSORED AND CENSORED DATA." International Journal of Reliability, Quality and Safety Engineering 18, no. 05 (2011): 417–29. http://dx.doi.org/10.1142/s0218539311004160.

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Reversed hazard rate (RHR) function is an important reliability function that is applicable to various fields. Applications can be found in portfolio selection problems in finance, analysis of left-censored data, problems in actuarial science and forensic science involving estimation of exact time of occurrence of a particular event, etc. In this paper, we propose a new nonparametric estimator based on binning techniques for this reliability function for an uncensored sample and then provide an extension for RHR estimation under left censorship. The performance of the proposed estimators were
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Yoon, Jeonghyeon, Jisoo Oh, and Seungku Kim. "Transfer Learning Approach for Indoor Localization with Small Datasets." Remote Sensing 15, no. 8 (2023): 2122. http://dx.doi.org/10.3390/rs15082122.

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Indoor pedestrian localization has been the subject of a great deal of recent research. Various studies have employed pedestrian dead reckoning, which determines pedestrian positions by transforming data collected through sensors into pedestrian gait information. Although several studies have recently applied deep learning to moving object distance estimations using naturally collected everyday life data, this data collection approach requires a long time, resulting in a lack of data for specific labels or a significant data imbalance problem for specific labels. In this study, to compensate f
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Wu, Mingjie, and Wenhao Gui. "Estimation and Prediction for Nadarajah-Haghighi Distribution under Progressive Type-II Censoring." Symmetry 13, no. 6 (2021): 999. http://dx.doi.org/10.3390/sym13060999.

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The paper discusses the estimation and prediction problems for the Nadarajah-Haghighi distribution using progressive type-II censored samples. For the unknown parameters, we first calculate the maximum likelihood estimates through the Expectation–Maximization algorithm. In order to choose the best Bayesian estimator, a loss function must be specified. When the loss is essentially symmetric, it is reasonable to use the square error loss function. However, for some estimation problems, the actual loss is often asymmetric. Therefore, we also need to choose an asymmetric loss function. Under the b
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Cevri, Mehmet, and Dursun Üstündag. "Performance Analysis of Gibbs Sampling for Bayesian Extracting Sinusoids." International Journal of Mathematical Models and Methods in Applied Sciences 15 (November 23, 2021): 148–54. http://dx.doi.org/10.46300/9101.2021.15.19.

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This paper involves problems of estimating parameters of sinusoids from white noisy data by using Gibbs sampling (GS) in a Bayesian framework. Modifications of its algorithm is tested on data generated from synthetic signals and its performance is compared with conventional estimators such as Maximum Likelihood(ML) and Discrete Fourier Transform (DFT) under a variety of signal to noise ratio (SNR) and different length of data sampling (N), regarding to Cramér-Rao lower bound (CRLB). All simulation results show its effectiveness in frequency and amplitude estimation of sinusoids.
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Alsofyani, Ibrahim Mohd, Tole Sutikno, Yahya A. Alamri, Nik Rumzi Nik Idris, Norjulia Mohamad Nordin, and Aree Wangsupphaphol. "Experimental Evaluation of Torque Performance of Voltage and Current Models using Measured Torque for Induction Motor Drives." International Journal of Power Electronics and Drive Systems (IJPEDS) 5, no. 3 (2015): 433. http://dx.doi.org/10.11591/ijpeds.v5.i3.pp433-440.

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<span lang="EN-US">In this paper, two kinds of observers are proposed to investigate torque estimation. The first one is based on a voltage model represented with a low-pass filter (LPF); which is normally used as a replacement for a pure integrator to avoid integration drift problem due to dc offset or measurement error. The second estimator used is an extended Kalman filter (EKF) as a current model, which puts into account all noise problems. Both estimation algorithms are investigated during the steady and transient states, tested under light load, and then compared with the measured
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Wang, Wei, and Wenhao Gui. "Estimation and Bayesian Prediction for the Generalized Exponential Distribution Under Type-II Censoring." Symmetry 17, no. 2 (2025): 222. https://doi.org/10.3390/sym17020222.

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This research focuses on the prediction and estimation problems for the generalized exponential distribution under Type-II censoring. Firstly, maximum likelihood estimations for the parameters of the generalized exponential distribution are computed using the EM algorithm. Additionally, confidence intervals derived from the Fisher information matrix are developed and analyzed alongside two bootstrap confidence intervals for comparison. Compared to classical maximum likelihood estimation, Bayesian inference proves to be highly effective in handling censored data. This study explores Bayesian in
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Liu, Juan, and Qingfeng Huang. "Tradeoff between estimation performance and sensor usage in distributed localisation problems." International Journal of Ad Hoc and Ubiquitous Computing 1, no. 4 (2006): 230. http://dx.doi.org/10.1504/ijahuc.2006.010504.

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Bousselmi, Nizar, Julien M. Hendrickx, and François Glineur. "Interpolation Conditions for Linear Operators and Applications to Performance Estimation Problems." SIAM Journal on Optimization 34, no. 3 (2024): 3033–63. http://dx.doi.org/10.1137/23m1575391.

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Gadgil, Krutuja S., Prabodh Khampariya, and Shashikant M. Bakre. "Investigation of power quality problems and harmonic exclusion in the power system using frequency estimation techniques." Scientific Temper 14, no. 01 (2023): 150–56. http://dx.doi.org/10.58414/scientifictemper.2023.14.1.17.

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This work aims to investigate a problem with power quality and the exclusion of harmonics in the power system using a method called frequency estimation. This study aims to explore the performance of several strategies for estimating phase and frequency under a variety of less-than-ideal situations, such as voltage imbalance, harmonics, dc-offset, and so on. When the grid signals are characterized by dc-offset, it has been shown that most of the approaches are incapable of calculating the frequency of the grid signals. This article introduces a frequency estimation method known as Modified Dua
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Liu, Bing, Zhen Chen, and Xiang Dong Liu. "Computationally Efficient Extended Kalman Filter for Nonlinear Systems." Advanced Materials Research 846-847 (November 2013): 1205–8. http://dx.doi.org/10.4028/www.scientific.net/amr.846-847.1205.

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A computationally efficient extended Kalman filter is developed for nonlinear estimation problems in this paper. The filter is performed in three stages. First, the state predictions are evaluated by the dynamic model of the system. Then, the dynamic equations of the rectification quantities for the predicted states are designed. Finally, the state estimations are updated by the predicted states with the rectification quantities multiplied by a single scale factor. One advantage of the filter is that the computational cost is reduced significantly, because the matrix coefficients of the rectif
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Joshi, Ashwini, Angelika Geroldinger, Lena Jiricka, Pralay Senchaudhuri, Christopher Corcoran, and Georg Heinze. "Solutions to problems of nonexistence of parameter estimates and sparse data bias in Poisson regression." Statistical Methods in Medical Research 31, no. 2 (2021): 253–66. http://dx.doi.org/10.1177/09622802211065405.

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Poisson regression can be challenging with sparse data, in particular with certain data constellations where maximum likelihood estimates of regression coefficients do not exist. This paper provides a comprehensive evaluation of methods that give finite regression coefficients when maximum likelihood estimates do not exist, including Firth’s general approach to bias reduction, exact conditional Poisson regression, and a Bayesian estimator using weakly informative priors that can be obtained via data augmentation. Furthermore, we include in our evaluation a new proposal for a modification of Fi
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Sun, Huan Huan, Jun Bi, and Sai Shao. "The State of Charge Estimation of Lithium Battery in Electric Vehicle Based on Extended Kalman Filter." Advanced Materials Research 953-954 (June 2014): 796–99. http://dx.doi.org/10.4028/www.scientific.net/amr.953-954.796.

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Accurate estimation of battery state of charge (SOC) is important to ensure operation of electric vehicle. Since a nonlinear feature exists in battery system and extended kalman filter algorithm performs well in solving nonlinear problems, the paper proposes an EKF-based method for estimating SOC. In order to obtain the accurate estimation of SOC, this paper is based on composite battery model that is a combination of three battery models. The parameters are identified using the least square method. Then a state equation and an output equation are identified. All experimental data are collecte
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Ge, Pingshu, Ce Zhang, Tao Zhang, Lie Guo, and Qingyang Xiang. "Maximum Correntropy Square-Root Cubature Kalman Filter with State Estimation for Distributed Drive Electric Vehicles." Applied Sciences 13, no. 15 (2023): 8762. http://dx.doi.org/10.3390/app13158762.

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For nonlinear systems, both the cubature Kalman filter (CKF) and square-root cubature Kalman filter (SCKF) can get good estimation performance under Gaussian noise. However, the actual driving environment noise mostly has non-Gaussian properties, leading to a significant reduction in robustness and accuracy for distributed vehicle state estimation. To address such problems, this paper uses the square-root cubature Kalman filter with the maximum correlation entropy criterion (MCSRCKF), establishing a seven degrees of freedom (7-DOF) nonlinear distributed vehicle dynamics model for accurately es
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Sakuma and Nishi. "Estimation of Building Thermal Performance Using Simple Sensors and Air Conditioners." Energies 12, no. 15 (2019): 2950. http://dx.doi.org/10.3390/en12152950.

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Energy and environmental problems have attracted attention worldwide. Energy consumption in residential sectors accounts for a large percentage of total consumption. Several retrofit schemes, which insulate building envelopes to increase energy efficiency, have been adapted to address residential energy problems. However, these schemes often fail to balance the installment cost with savings from the retrofits. To maximize the benefit, selecting houses with low thermal performance by a cost-effective method is inevitable. Therefore, an accurate, low-cost, and undemanding housing assessment meth
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Pinchas, Assaf, Irad Ben-Gal, and Amichai Painsky. "A Comparative Analysis of Discrete Entropy Estimators for Large-Alphabet Problems." Entropy 26, no. 5 (2024): 369. http://dx.doi.org/10.3390/e26050369.

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This paper presents a comparative study of entropy estimation in a large-alphabet regime. A variety of entropy estimators have been proposed over the years, where each estimator is designed for a different setup with its own strengths and caveats. As a consequence, no estimator is known to be universally better than the others. This work addresses this gap by comparing twenty-one entropy estimators in the studied regime, starting with the simplest plug-in estimator and leading up to the most recent neural network-based and polynomial approximate estimators. Our findings show that the estimator
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Ganor-Stern, Dana. "Can Dyscalculics Estimate the Results of Arithmetic Problems?" Journal of Learning Disabilities 50, no. 1 (2016): 23–33. http://dx.doi.org/10.1177/0022219415587785.

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The present study is the first to examine the computation estimation skills of dyscalculics versus controls using the estimation comparison task. In this task, participants judged whether an estimated answer to a multidigit multiplication problem was larger or smaller than a given reference number. While dyscalculics were less accurate than controls, their performance was well above chance level. The performance of controls but not of those with developmental dyscalculia (DD) improved consistently for smaller problem sizes. The performance of both groups was superior when the reference number
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Perez-Rodriguez, Ricardo. "An estimation of distribution algorithm for combinatorial optimization problems." International Journal of Industrial Optimization 3, no. 1 (2022): 47–67. http://dx.doi.org/10.12928/ijio.v3i1.5862.

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This paper considers solving more than one combinatorial problem considered some of the most difficult to solve in the combinatorial optimization field, such as the job shop scheduling problem (JSSP), the vehicle routing problem with time windows (VRPTW), and the quay crane scheduling problem (QCSP). A hybrid metaheuristic algorithm that integrates the Mallows model and the Moth-flame algorithm solves these problems. Through an exponential function, the Mallows model emulates the solution space distribution for the problems; meanwhile, the Moth-flame algorithm is in charge of determining how t
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Ghorbanidehno, Hojat, Jonghyun Lee, Matthew Farthing, Tyler Hesser, Peter K. Kitanidis, and Eric F. Darve. "Novel Data Assimilation Algorithm for Nearshore Bathymetry." Journal of Atmospheric and Oceanic Technology 36, no. 4 (2019): 699–715. http://dx.doi.org/10.1175/jtech-d-18-0067.1.

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AbstractIt can be expensive and difficult to collect direct bathymetry data for nearshore regions, especially in high-energy locations where there are temporally and spatially varying bathymetric features like sandbars. As a result, there has been increasing interest in remote assessment techniques for estimating bathymetry. Recent efforts have combined Kalman filter–based techniques with indirect video-based observations for bathymetry inversion. Here, we estimate nearshore bathymetry by utilizing observed wave celerity and wave height, which are related to bathymetry through phase-averaged w
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Annaswamy, A. M., C. Thanomsat, N. Mehta, and Ai-Poh Loh. "Applications of Adaptive Controllers to Systems With Nonlinear Parametrization." Journal of Dynamic Systems, Measurement, and Control 120, no. 4 (1998): 477–87. http://dx.doi.org/10.1115/1.2801489.

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Nonlinear parametrizations occur in dynamic models of several complex engineering problems. The theory of adaptive estimation and control has been applicable, by and large, to problems where parameters appear linearly. We have recently developed an adaptive controller that is capable of estimating parameters that appear nonlinearly in dynamic systems in a stable manner. In this paper, we present this algorithm and its applicability to two problems, temperature regulation in chemical reactors and precise positioning using magnetic bearings both of which contain nonlinear parametrizations. It is
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UEHARA, Kazutake, and Fumio OBATA. "C33 Heat Flux Estimation at Heat Sources of Machine Tool by Solving Inverse Problems(Evaluation of machine tool performance)." Proceedings of International Conference on Leading Edge Manufacturing in 21st century : LEM21 2009.5 (2009): 735–38. http://dx.doi.org/10.1299/jsmelem.2009.5.735.

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Naga Anusha, M., Y. Swara, S. Koteswara Rao, and V. Gopi Tilak. "Pendulum state estimation using nonlinear state estimators." International Journal of Engineering & Technology 7, no. 2.7 (2018): 9. http://dx.doi.org/10.14419/ijet.v7i2.7.10244.

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The convergence over Non-linear state estimation is not satisfied by Kalman filter. For nonlinear state estimation problems, the present research work on the performance analysis of linearized kalman filter and extended kalman filter for a simple nonlinear state estimation problem. The simple pendulum is the best example for simple nonlinear state dynamics. The performance analysis based on the root mean square errors of the estimates also specified through Monte-Carlo simulation.
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Vapnik, V., and L. Bottou. "Local Algorithms for Pattern Recognition and Dependencies Estimation." Neural Computation 5, no. 6 (1993): 893–909. http://dx.doi.org/10.1162/neco.1993.5.6.893.

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In previous publications (Bottou and Vapnik 1992; Vapnik 1992) we described local learning algorithms, which result in performance improvements for real problems. We present here the theoretical framework on which these algorithms are based. First, we present a new statement of certain learning problems, namely the local risk minimization. We review the basic results of the uniform convergence theory of learning, and extend these results to local risk minimization. We also extend the structural risk minimization principle for both pattern recognition problems and regression problems. This exte
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TOY, Ayşegül, Ayhan KAPUSUZOĞLU, and Nildağ Başak CEYLAN. "The Effect of Working Capital Management on the Performance of the Textile Firms: Evidence from Fragile Five Countries (FFCs)." Ekonomi, Politika & Finans Araştırmaları Dergisi 7, no. 4 (2022): 814–38. http://dx.doi.org/10.30784/epfad.1205427.

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An effective working capital can contribute to achieving the firm’s financial profitability, increasing the value of companies, creating a short-term financing source, continuing their activities and increasing their sustainability. This study examines the effect of working capital management on firm performances (ROA and TOBIN's Q) of firms operating in the textile industry in 4 countries (Brazil, India, Indonesia and Turkey) called the Fragile Five countries between 2010 and 2020. In the estimation of the coefficients of the panel regression models determined in this study, the Driscoll-Kraa
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