Dissertations / Theses on the topic 'Unbiased estimation of autocorrelation'
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Kamanu, Timothy Kevin Kuria. "Location-based estimation of the autoregressive coefficient in ARX(1) models." Thesis, University of the Western Cape, 2006. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_9551_1186751947.
Full textIn recent years, two estimators have been proposed to correct the bias exhibited by the leastsquares (LS) estimator of the lagged dependent variable (LDV) coefficient in dynamic regression models when the sample is finite. They have been termed as &lsquo
mean-unbiased&rsquo
and &lsquo
medianunbiased&rsquo
estimators. Relative to other similar procedures in the literature, the two locationbased estimators have the advantage that they offer an exact and uniform methodology for LS estimation of the LDV coefficient in a first order autoregressive model with or without exogenous regressors i.e. ARX(1).
However, no attempt has been made to accurately establish and/or compare the statistical properties among these estimators, or relative to those of the LS estimator when the LDV coefficient is restricted to realistic values. Neither has there been an attempt to 
compare their performance in terms of their mean squared error (MSE) when various forms of the exogenous regressors are considered. Furthermore, only implicit confidence intervals have been given for the &lsquo
medianunbiased&rsquo
estimator. Explicit confidence bounds that are directly usable for inference are not available for either estimator. In this study a new estimator of the LDV coefficient is proposed
the &lsquo
most-probably-unbiased&rsquo
estimator. Its performance properties vis-a-vis the existing estimators are determined and compared when the parameter space of the LDV coefficient is restricted. In addition, the following new results are established: (1) an explicit computable form for the density of the LS estimator is derived for the first time and an efficient method for its numerical evaluation is proposed
(2) the exact bias, mean, median and mode of the distribution of the LS estimator are determined in three specifications of the ARX(1) model
(3) the exact variance and MSE of LS estimator is determined
(4) the standard error associated with the determination of same quantities when simulation rather than numerical integration method is used are established and the methods are compared in terms of computational time and effort
(5) an exact method of evaluating the density of the three estimators is described
(6) their exact bias, mean, variance and MSE are determined and analysed
and finally, (7) a method of obtaining the explicit exact confidence intervals from the distribution functions of the estimators is proposed.
The discussion and results show that the estimators are still biased in the usual sense: &lsquo
in expectation&rsquo
. However the bias is substantially reduced compared to that of the LS estimator. The findings are important in the specification of time-series regression models, point and interval estimation, decision theory, and simulation.
Zhang, Keshu. "Best linear unbiased estimation fusion with constraints." ScholarWorks@UNO, 2003. http://louisdl.louislibraries.org/u?/NOD,86.
Full textTitle from electronic submission form. "A dissertation ... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Electrical Engineering"--Dissertation t.p. Vita. Includes bibliographical references.
Cipperly, George Edward. "Direct scene parameter estimation from autocorrelation data." Diss., The University of Arizona, 1992. http://hdl.handle.net/10150/186058.
Full textChen, Donghui 1970. "Median-unbiased estimation in linear autoregressive time series models." Monash University, Dept. of Econometrics and Business Statistics, 2001. http://arrow.monash.edu.au/hdl/1959.1/9044.
Full textLi, Huilin. "Small area estimation an empirical best linear unbiased prediction approach /." College Park, Md.: University of Maryland, 2007. http://hdl.handle.net/1903/7600.
Full textThesis research directed by: Mathematical Statistics Program. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
Sall, Cheikh Ahmed Tidiane. "Dynamique et persistance de l’inflation dans l’UEMOA : le rôle des facteurs globaux, régionaux et nationaux." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM1085/document.
Full textThis thesis examines the inflation dynamics and persistence in developing countries, especially in the UEMOA zone, highlighting the specificities of these economies. The first chapter, reveals that the inflation persistence degree, in these countries, is low which represents an asset to the monetary authorities. In Chapter 2, it was defined a more appropriate theoretical framework to analyze the inflation persistence in the countries of the sub-region. The approach allowed to demonstrate that the inflation persistence degree in these countries is not only dependent on monetary and exchange rate policies, but also negatively to the weight of local food sector in the economy. Chapter 3, analyzes the inflation differentials in the UEMOA member countries, by examining the β - convergence of inflation differentials. Estimations show that the inflation differentials are greatly reduced within the Union and they are highly persistent with the Euro zone. Chapter 4, is devoted to assessing the role of various factors and then uses a spatial panel specification to test the spillover effect between countries. Estimations indicate a predominance of global factors and contagion between countries whose magnitude depends on the weight of exports to other countries in the sub-region
Kalender, Emre. "Parametric Estimation Of Clutter Autocorrelation Matrix For Ground Moving Target Indication." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615313/index.pdf.
Full textHu, Qilin. "Autocorrelation-based factor analysis and nonlinear shrinkage estimation of large integrated covariance matrix." Thesis, London School of Economics and Political Science (University of London), 2016. http://etheses.lse.ac.uk/3551/.
Full textZhao, Zhanlue. "Performance Appraisal of Estimation Algorithms and Application of Estimation Algorithms to Target Tracking." ScholarWorks@UNO, 2006. http://scholarworks.uno.edu/td/394.
Full textMiladinovic, Branko. "Kernel density estimation of reliability with applications to extreme value distribution." [Tampa, Fla] : University of South Florida, 2008. http://purl.fcla.edu/usf/dc/et/SFE0002760.
Full textKorte, Robert A. "Inference in Power Series Distributions." Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1352937611.
Full textTsiappoutas, Kyriakos Michael. "Statistical Spectral Parameter Estimation of Acoustic Signals with Applications to Byzantine Music." ScholarWorks@UNO, 2011. http://scholarworks.uno.edu/td/1358.
Full textBaba, Harra M'hammed. "Estimation de densités spectrales d'ordre élevé." Rouen, 1996. http://www.theses.fr/1996ROUES023.
Full textAkgun, Burcin. "Identification Of Periodic Autoregressive Moving Average Models." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/1083682/index.pdf.
Full textAllison, Malena Kathleen. "Statistical Topics Applied to Pressure and Temperature Readings in the Gulf of Mexico." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4625.
Full textCarrico, Robert. "Unbiased Estimation for the Contextual Effect of Duration of Adolescent Height Growth on Adulthood Obesity and Health Outcomes via Hierarchical Linear and Nonlinear Models." VCU Scholars Compass, 2012. http://scholarscompass.vcu.edu/etd/2817.
Full textManomaiphiboon, Kasemsan. "Estimation of Emission Strength and Air Pollutant Concentrations by Lagrangian Particle Modeling." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5141.
Full textPuddephat, Michael J. "Computer interface for convenient application for stereological methods for unbiased estimation of volume and surface area : studies using MRI with particular reference to the human brain." Thesis, University of Liverpool, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368022.
Full textSkalski, Tomasz, and Witold Zaborowski. "Object detection and pose estimation of randomly organized objects for a robotic bin picking system." Thesis, Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-2153.
Full text+4915782529118
Chitte, Sree Divya. "Source localization from received signal strength under lognormal shadowing." Thesis, University of Iowa, 2010. https://ir.uiowa.edu/etd/477.
Full textKrishnan, Rajet. "Problems in distributed signal processing in wireless sensor networks." Thesis, Manhattan, Kan. : Kansas State University, 2009. http://hdl.handle.net/2097/1351.
Full textTeixeira, Marcos Vinícius. "Estudos sobre a implementação online de uma técnica de estimação de energia no calorímetro hadrônico do atlas em cenários de alta luminosidade." Universidade Federal de Juiz de Fora (UFJF), 2015. https://repositorio.ufjf.br/jspui/handle/ufjf/4169.
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CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Este trabalho tem como objetivo o estudo de técnicas para a estimação da amplitude de sinais no calorímetro de telhas (TileCal) do ATLAS no LHC em cenários de alta luminosidade. Em alta luminosidade, sinais provenientes de colisões adjacentes são observados, ocasionando o efeito de empilhamento de sinais. Neste ambiente, o método COF (do inglês, Constrained Optimal Filter), apresenta desempenho superior ao algoritmo atualmente implementado no sistema. Entretanto, o COF requer a inversão de matrizes para o cálculo da pseudo-inversa de uma matriz de convolução, dificultando sua implementação online. Para evitar a inversão de matrizes, este trabalho apresenta métodos interativos, para a daptação do COF, que resultam em operações matemáticas simples. Baseados no Gradiente Descendente, os resultados demonstraram que os algoritmos são capazes de estimar a amplitude de sinais empilhados, além do sinal de interesse com eficiência similar ao COF. Visando a implementação online, este trabalho apresenta estudos sobre a complexidade dos métodos iterativos e propõe uma arquitetura de processamento em FPGA. Baseado em uma estrutura sequencial e utilizando lógica aritmética em ponto fixo, os resultados demonstraram que a arquitetura desenvolvida é capaz executar o método iterativo, atendendo os requisitos de tempo de processamento exigidos no TileCal.
This work aims at the study of techniques for online energy estimation in the ATLAS hadronic Calorimeter (TileCal) on the LHC collider. During further periods of the LHC operation, signals coming from adjacent collisions will be observed within the same window, producing a signal superposition. In this environment, the energy reconstruction method COF (Constrained Optimal Filter) outperforms the algorithm currently implemented in the system. However , the COF method requires an inversion of matrices and its online implementation is not feasible. To avoid such inversion of matrices, this work presents iteractive methods to implement the COF, resulting in simple mathematical operations. Based on the Gradient Descent, the results demonstrate that the algorithms are capable of estimating the amplitude of the superimposed signals with efficiency similar to COF. In addition, a processing architecture for FPGA implementation is proposed. The analysis has shown that the algorithms can be implemented in the new TilaCal electronics, reaching the processing time requirements.
Porto, Rogério de Faria. "Regressão não-paramétrica com erros correlacionados via ondaletas." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45133/tde-27102008-101711/.
Full textIn this thesis, rates of convergence to zero are obtained for the estimation risk, for non-parametric regression using wavelets, when the errors are correlated. Four non-parametric regression methods using wavelets, with un-equally spaced design are studied in the presence of correlated errors, that come from stochastic processes. Conditions on the errors and adaptations to the procedures are presented, so that the estimators achieve quasi-minimax rates of convergence. Whenever is possible, rates of convergence are obtained for the estimators in the domain of the function, under mild conditions on the function to be estimated, on the design and on the error correlation. Through simulation studies, the behavior of some of the proposed methods is evaluated, when used on finite samples. Generally, it is suggested to use one of the studied methods, however applying thresholds by level. Since the estimation of the detail coecients can be dicult in some cases, it is also proposed a general semi-parametric iterative procedure, for wavelet methods in the presence of time-series errors.
Shang, Lei, and lei shang@ieee org. "Modelling of Mobile Fading Channels with Fading Mitigation Techniques." RMIT University. Electrical and Computer Engineering, 2006. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20061222.113303.
Full textEsstafa, Youssef. "Modèles de séries temporelles à mémoire longue avec innovations dépendantes." Thesis, Bourgogne Franche-Comté, 2019. http://www.theses.fr/2019UBFCD021.
Full textWe first consider, in this thesis, the problem of statistical analysis of FARIMA (Fractionally AutoRegressive Integrated Moving-Average) models endowed with uncorrelated but non-independent error terms. These models are called weak FARIMA and can be used to fit long-memory processes with general nonlinear dynamics. Relaxing the independence assumption on the noise, which is a standard assumption usually imposed in the literature, allows weak FARIMA models to cover a large class of nonlinear long-memory processes. The weak FARIMA models are dense in the set of purely non-deterministic stationary processes, the class of these models encompasses that of FARIMA processes with an independent and identically distributed noise (iid). We call thereafter strong FARIMA models the models in which the error term is assumed to be an iid innovations.We establish procedures for estimating and validating weak FARIMA models. We show, under weak assumptions on the noise, that the least squares estimator of the parameters of weak FARIMA(p,d,q) models is strongly consistent and asymptotically normal. The asymptotic variance matrix of the least squares estimator of weak FARIMA(p,d,q) models has the "sandwich" form. This matrix can be very different from the asymptotic variance obtained in the strong case (i.e. in the case where the noise is assumed to be iid). We propose, by two different methods, a convergent estimator of this matrix. An alternative method based on a self-normalization approach is also proposed to construct confidence intervals for the parameters of weak FARIMA(p,d,q) models.We then pay particular attention to the problem of validation of weak FARIMA(p,d,q) models. We show that the residual autocorrelations have a normal asymptotic distribution with a covariance matrix different from that one obtained in the strong FARIMA case. This allows us to deduce the exact asymptotic distribution of portmanteau statistics and thus to propose modified versions of portmanteau tests. It is well known that the asymptotic distribution of portmanteau tests is correctly approximated by a chi-squared distribution when the error term is assumed to be iid. In the general case, we show that this asymptotic distribution is a mixture of chi-squared distributions. It can be very different from the usual chi-squared approximation of the strong case. We adopt the same self-normalization approach used for constructing the confidence intervals of weak FARIMA model parameters to test the adequacy of weak FARIMA(p,d,q) models. This method has the advantage of avoiding the problem of estimating the asymptotic variance matrix of the joint vector of the least squares estimator and the empirical autocovariances of the noise.Secondly, we deal in this thesis with the problem of estimating autoregressive models of order 1 endowed with fractional Gaussian noise when the Hurst parameter H is assumed to be known. We study, more precisely, the convergence and the asymptotic normality of the generalized least squares estimator of the autoregressive parameter of these models
Huang, Yao-pseng, and 黃耀增. "Autocorrelation Based SNR Estimation." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/cm5475.
Full text國立中山大學
通訊工程研究所
96
Signal-to-noise ratio (SNR) estimation is one of the important research topics in wireless communications. In the receiver, many algorithms require SNR information to achieve optimal performance. In this thesis, an autocorrelation based SNR estimator is proposed. The proposed method utilizes the correlation properties of symbol sequence and the uncorrelated properties of noise sequence to distinguish the signal power from the received signal. Curve fitting method is used for SNR estimator to predict the signal power. Mean and variance performance of the proposed SNR estimator is compared with that of the conventional SNR estimator by computer simulations. These simulations consider additive white Gaussian noise and multipath Rayleigh fading channel with BPSK, 8PSK, 16QAM and 64QAM modulation schemes. According to the simulation results, the proposed method can provide better performance than conventional methods in both mean and mean-square-error.
Feng-ChengWu and 吳灃宸. "Unbiased Estimation of Numerical Derivative on Log-likelihood." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/459k47.
Full textHirukawa, Masayuki. "Heteroskedasticity and autocorrelation consistent covariance matrix estimation." 2004. http://www.library.wisc.edu/databases/connect/dissertations.html.
Full textPao, Hsiao-Yung, and 包孝永. "On autocorrelation estimation of high frequency squared returns." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/51598320107837477106.
Full text國立中山大學
應用數學系研究所
98
In this paper, we investigate the problem of estimating the autocorrelation of squared returns modeled by diffusion processes with data observed at non-equi-spaced discrete times. Throughout, we will suppose that the stock price processes evolve in continuous time as the Heston-type stochastic volatility processes and the transactions arrive randomly according to a Poisson process. In order to estimate the autocorrelation at a fixed delay, the original non-equispaced data will be synchronized. When imputing missing data, we adopt the previous-tick interpolation scheme. Asymptotic property of the sample autocorrelation of squared returns based on the previous-tick synchronized data will be investigated. Simulation studies are performed and applications to real examples are illustrated.
Wang, Rei-Yang, and 王瑞陽. "On Unbiased Risk Estimation of Random Effect ANOVA Model with Balanced Data." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/86726005649820252005.
Full textKhan, Salman Ahmed. "Autocorrelation function based mobile velocity estimation in correlated Rayleigh MIMO channels." Thesis, 2008. http://spectrum.library.concordia.ca/976167/1/MR45308.pdf.
Full textLi, Po-Yu, and 黎博幼. "Cramér-Rao Bounds of Unbiased Channel Estimation for Amplify-and-Forward Relay Networks." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/72274200139111267727.
Full text臺灣大學
電信工程學研究所
98
Cooperative communication has gained increasing popularity recently since spatial diversity can be provided so as to mitigate fading over wireless transmission without raising hardware complexity of mobile devices. The main concept of cooperative communication is that idle mobile devices, termed as relay nodes, can be utilized to send data for the source node. The relay networks form a virtual antenna array in a distributed manner. In the literature, however, the performance analysis of channel estimation for relay networks has not been well addressed yet. In this thesis, the performance of channel estimation for amplify-and-forward (AF) relay networks will be analyzed in terms of Cramér-Rao bound (CRB), which is the renowned lower bound for estimation. First, we will introduce the relaying protocols and corresponding signal models. Then we will derive the CRB of AF relay networks for unbiased centralized channel estimation, and for unbiased distributed channel estimation, respectively. Finally, the influence of relay parameters on the derived CRB will be discussed in detail.
Delpish, Ayesha Nneka Niu Xu-Feng. "A comparison of estimators in hierarchical linear modeling restricted maximum likelihood versus bootstrap via minimum norm quadratic unbiased estimators /." 2006. http://etd.lib.fsu.edu/theses/available/06262006-100559.
Full textAdvisor: Xu-Feng Niu, Florida State University, College of Arts and Sciences, Dept. of Statistics. Title and description from dissertation home page (viewed Sept. 18, 2006). Document formatted into pages; contains ix, 116 pages. Includes bibliographical references.
Dégerine, Serge. "Fonction d'autocorrélation partielle et estimation autorégressive dans le domaine temporel." Phd thesis, 1988. http://tel.archives-ouvertes.fr/tel-00243761.
Full textKrishnan, Sunder Ram. "Optimum Savitzky-Golay Filtering for Signal Estimation." Thesis, 2013. http://hdl.handle.net/2005/3293.
Full textLain, Michal. "Robustní odhady autokorelační funkce." Master's thesis, 2020. http://www.nusl.cz/ntk/nusl-415917.
Full textMoura, Ricardo Pinto. "Likelihood-based Inference for Multivariate Regression Models using Synthetic Data." Doctoral thesis, 2016. http://hdl.handle.net/10362/19694.
Full textKubínová, Zuzana. "Vliv zvýšené koncentrace CO2 a ozářenosti na kvantitativní parametry mezofylových buněk smrku ztepilého." Master's thesis, 2010. http://www.nusl.cz/ntk/nusl-296294.
Full text