Relevant bibliographies by topics / New Linear-exponential distribution

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Academic literature on the topic 'New Linear-exponential distribution'

Author: Grafiati
Published: 5 June 2025
Last updated: 8 July 2025

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Journal articles on the topic "New Linear-exponential distribution"

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Binod, Kumar Sah. "New Linear-Exponential Distribution." APPLIED SCIENCE PERIODICAL XXIV, no. 2, May 2022 (2022): 1–16. https://doi.org/10.5281/zenodo.6559260.

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The proposed distribution is a continuous probability distribution with a single parameter. We named it ‘New Linear-exponential distribution’. We have been discussed about probability density function, probability distribution function and moment generating function. Moments about origin and hence, the first four moments about the mean of the proposed distribution have been obtained. Estimation of parameters have been discussed by the method of moments and that of the method of maximum likelihood. To test validity of the theoretical work, goodness of fit has been applied to some data-sets which were used earlier by others. It has been observed that the proposed distribution gives better fit to the most of data-sets than Lindley distribution and One-parameter Linear-exponential distribution.
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Binod, Kumar Sah. "Premium Linear-Exponential Distribution." APPLIED SCIENCE PERIODICAL XXIV, no. 3, August 2022 (2022): 1–16. https://doi.org/10.5281/zenodo.7093047.

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           In the present study, a one-parameter continuous probability distribution, which is a modified form of ‘New Linear-exponential distribution’ and ‘Modified Linear-exponential distribution’, has been proposed for statistical modeling of survival time data with better results. Several characteristics and descriptive measures of Statistics of the proposed distribution have been derived and discussed. To test validity of the theoretical work of this distribution, goodness of fit has been applied to some over-dispersed data-sets which were earlier used by other researchers. It is expected to be a better alternative of Lindley distribution and in some of the cases; it is expected to be a better alternative of New Linear-exponential distribution and Modified Linear-exponential distribution.
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Tian, Yuzhu, Maozai Tian, and Qianqian Zhu. "Transmuted Linear Exponential Distribution: A New Generalization of the Linear Exponential Distribution." Communications in Statistics - Simulation and Computation 43, no. 10 (2014): 2661–77. http://dx.doi.org/10.1080/03610918.2013.763978.

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Atem, Bol A. M., Suleman Nasiru, and Kwara Nantomah. "Topp–Leone Linear Exponential Distribution." Stochastics and Quality Control 33, no. 1 (2018): 31–43. http://dx.doi.org/10.1515/eqc-2017-0022.

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Abstract This article studies the properties of the Topp–Leone linear exponential distribution. The parameters of the new model are estimated using maximum likelihood estimation, and simulation studies are performed to examine the finite sample properties of the parameters. An application of the model is demonstrated using a real data set. Finally, a bivariate extension of the model is proposed.
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Radwan, Hossam, Mohamed Mahmoud, and Mohamed Ghazal. "Modified Generalized Linear Exponential Distribution: Properties and applications." Statistics, Optimization & Information Computing 12, no. 1 (2023): 231–55. http://dx.doi.org/10.19139/soic-2310-5070-1103.

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In this paper, we propose a new four-parameter lifetime distribution called modified generalized linear exponential distribution. The proposed distribution is a modification of the generalized linear exponential distribution. Several important lifetime distributions in reliability engineering and survival analysis are considered as special sub-models including modified Weibull, Weibull, linear exponential and generalized linear exponential distributions, among others. We study the mathematical and statistical properties of the proposed distribution including moments, moment generating function, modes, and quantile. We then examine hazard rate, mean residual life, and variance residual life functions of the distribution. A significant property of the new distribution is that it can have a bathtub-shaped, which is very flexible for modeling reliability data.The four unknown parameters of the proposed model are estimated by the maximum likelihood. Finally, two practical real data sets are applied to show that the proposed distribution provides a superior fit than the other sub-models and some well-known distributions.
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Tian, Yu-zhu, Mao-zai Tian, and Qian-qian Zhu. "A new generalized linear exponential distribution and its applications." Acta Mathematicae Applicatae Sinica, English Series 30, no. 4 (2014): 1049–62. http://dx.doi.org/10.1007/s10255-014-0442-4.

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Phani, Y., S. V. S. Girija, and A. V. Dattatreya Rao. "Arc Tan- Exponential Type Distribution Induced By Stereographic Projection / Bilinear Transformation On Modified Wrapped Exponential Distribution." Journal of Applied Mathematics, Statistics and Informatics 9, no. 1 (2013): 69–74. http://dx.doi.org/10.2478/jamsi-2013-0007.

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Abstract In this paper we make an attempt to construct a new three parameter linear model, we call this new model as Arc Tan-Exponential Type distribution, by applying Stereographic Projection or equivalently Bilinear transformation on Wrapped Exponential distribution, Probability density and cumulative distribution functions of this new model are presented and their graphs are plotted for various values of parameters.
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Poonia, Neeraj, and Sarita Azad. "A New Exponentiated Generalized Linear Exponential Distribution: Properties and Application." RMS: Research in Mathematics & Statistics 8, no. 1 (2021): 1953233. http://dx.doi.org/10.1080/27658449.2021.1953233.

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Althubyani, Faiza A., Ahmed M. T. Abd El-Bar, Mohamad A. Fawzy, and Ahmed M. Gemeay. "A New 3-Parameter Bounded Beta Distribution: Properties, Estimation, and Applications." Axioms 11, no. 10 (2022): 504. http://dx.doi.org/10.3390/axioms11100504.

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This study presents a new three-parameter beta distribution defined on the unit interval, which can have increasing, decreasing, left-skewed, right-skewed, approximately symmetric, bathtub, and upside-down bathtub shaped densities, and increasing, U, and bathtub shaped hazard rates. This model can define well-known distributions with various parameters and supports, such as Kumaraswamy, beta exponential, exponential, exponentiated exponential, uniform, the generalized beta of the first kind, and beta power distributions. We present a comprehensive account of the mathematical features of the new model. Maximum likelihood methods and a Bayesian method under squared error and linear exponential loss functions are presented; also, approximate confidence intervals are obtained. We present a simulation study to compare all the results. Two real-world data sets are analyzed to demonstrate the utility and adaptability of the proposed model.
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Sakthivel, K. M., and Alicia Mathew. "A Meaningful Construction of New Circular Distribution for Applications in Geomorphology." Indian Journal Of Science And Technology 18, no. 13 (2025): 1009–22. https://doi.org/10.17485/ijst/v18i13.4008.

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Objectives: This work introduces a novel circular probability distributionthe Double Truncated Wrapped Exponential (DTWE) distribution highlighting the importance of circular statistics with cyclical characteristics contrary to usual linear data. Methods: The DTWE distribution is developed using the principle of truncation on the wrapped exponential distribution, which satisfies the principles of circularity. The properties of the distribution, such as the trigonometric mean, skewness, and kurtosis, are derived to enhance interpretability. Parameter estimation is carried out using Maximum Likelihood Estimation, Least Squares, and Weighted Least Squares methods. The goodness-of-fit is carried out, which makes DTWE distribution comparable to other well-known circular probability models. Findings: The numerical results of the simulation study across sample sizes (𝑛 = 30, 50, 100, 1000) and parameter values (𝜃 = 0.5, 1, 2) demonstrate that the DTWE distribution achieves accurate and consistent parameter estimation. For 𝜃 = 0.5 and 𝑛 = 30, the key performance metrics, such as the bias, Mean Square Error (MSE), and standard deviation (SD) for MLE outperform the LS and WLS methods by approximately 20%. Similarly, for 𝜃 = 2 and 𝑛 = 1000, the MLE achieves greater consistency reducing the bias, MSE, and SD by more than 30%. Real world data analysis shows that the DTWE distribution captures the cyclical patterns in ecological and geological data perfectly and gives meaningful insights into directional behaviours. Novelty: This study introduces a novel truncationbased framework for constructing circular probability distributions. The new distribution provides a distinctive approach for evaluating the circular data in ecological and geological datasets. Keywords: Directional Statistics; Truncation; Exponential Distribution; Circular Distribution; MLE
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Book chapters on the topic "New Linear-exponential distribution"

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Lefebvre, Tyne, Klaas Gadeyne, Herman Bruyninckx, and Joris De Schutter. "Exact Bayesian Inference for a Class of Nonlinear Systems with Application to Robotic Assembly." In Bayesian Statistics 7. Oxford University PressOxford, 2003. http://dx.doi.org/10.1093/oso/9780198526155.003.0039.

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Abstract This paper presents a new finite-dimensional Bayesian filter. The filter calculates the exact analytical expression for the posterior probability density function (pdf) of static systems with any kind of nonlinear measurement equation subject to Gaussian measurement uncertainty. The paper also extends this filter to a limited class of dynamic systems. The filter is applied to the estimation of the inaccurately known position and orientation of two mating parts during autonomous robotic assembly. The sufficient statistics of the posterior pdf are obtained by Kalman Filter formulas, making online estimation possible. Exact finite-dimensional filters exist only for a small class of systems. The best known example is the Kalman Filter for linear systems (i.e., systems for which both the process equation and the measurement equation are linear) with Gaussian uncertainties. In this case, the posterior pdf is a Gaussian represented by its mean and its covariance matrix. Other examples are the filters of Benes (1981), which requires the measurement equation to be linear, and Daum (1988), applicable to a more general class of systems with nonlinear process and measurement equations for which the posterior pdf is any exponential distribution.
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Conference papers on the topic "New Linear-exponential distribution"

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Cai, Yun, Xingjie Peng, Qing Li, Kan Wang, Wei Sun, and Zhaohu Gong. "A Three-Dimensional Flux Expansion Nodal Method for Hexagonal Geometry Application." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-61135.

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In this paper, a new flux expansion nodal method for hexagonal-z geometry is presented to solve multi-group neutron diffusion equations. In each three dimensional node and each group, the intra-nodal flux is approximated by the linear combination of exponential functions and orthogonal polynomials up to the second order. The coefficients are obtained by the weighted residual methods and the coupling conditions of the nodes, which satisfy the continuity of both the zero- and first-order moments of fluxes and currents across the nodal surfaces. A series of benchmark problems including the three dimensional cases are used to test this method. The numerical results verify that it is a rather accurate and efficient for the estimation of the eigenvalue and power distribution.
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Chen, Dongsheng, Zhiqi Huang, Xian Wu, Shen Ge, and Yuexian Zou. "Towards Joint Intent Detection and Slot Filling via Higher-order Attention." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/565.

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Recently, attention-based models for joint intent detection and slot filling have achieved state-of-the-art performance. However, we think the conventional attention can only capture the first-order feature interaction between two tasks and is insufficient. To address this issue, we propose a unified BiLinear attention block, which leverages bilinear pooling to synchronously explore both the contextual and channel-wise bilinear attention distributions to capture the second-order interactions between the input intent and slot features. Higher-order interactions are constructed by combining many such blocks and exploiting Exponential Linear activations. Furthermore, we present a Higher-order Attention Network (HAN) to jointly model them. The experimental results show that our approach outperforms the state-of-the-art results. We also conduct experiments on the new SLURP dataset, and give a discussion on HAN’s properties, i.e., robustness and generalization.
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Xu, Dongyu, Yongping Wang, Hongchun Wu, Aolin Zhang, Yuxuan Wu, and Yong Luo. "Thermal-Hydraulics and Neutronics Coupling Calculation and Validation of NECP-Panda: A Computational Code for Pebble-Bed High Temperature Gas-Cooled Reactors." In 2024 31st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/icone31-136096.

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Abstract In recent years, the Pebble-bed High Temperature Gas Cooled Reactor (PB-HTGR) has become a hot area in the research of the fourth-generation nuclear power system. The calculation of temperature distribution in the core and fuel sphere is one of the key tasks in the thermal design and safety analysis of the core. Due to the cylindrical coordinate characteristics of HTGR and the uncertainty of pebble flow in core, the complexity of coolant flow paths and the need to cover both the core and reflector regions in thermal calculations, accurate simulation of thermal hydraulics poses challenges. The mainstream PB-HTGR design and analysis codes use the fine-mesh finite difference method to solve the core physics and thermal hydraulic problems, and only has the ability of two-dimensional calculation and analysis. In order to address challenges in the core design and optimization of PB-HTGR and improve the accuracy of simulating the core state of the PB-HTGR during high temperature operation, the Nuclear Engineering Computational Physics (NECP) laboratory of Xi ’an Jiaotong University has independently developed NECP-Panda, a physical and thermal hydraulics calculation code specially designed for PB-HTGR. In the thermal hydraulic calculation of the core, NECP-Panda solves the solid heat conduction equation by using the coarse mesh nodal expansion method (NEM) to obtain the three-dimensional temperature distribution of the solid. The fine-mesh finite difference method is used to solve the convection diffusion equation, and the three-dimensional pressure field distribution and the three-dimensional mass flow field distribution of gas are obtained. To ensure convergence, NECP-Panda incorporates the exponential approach method to handle gas energy conservation, and employs an assumption of linear solid temperature distribution between nodes to solve the gas temperature distribution in the core and flow channels. The three-dimensional temperature field and three-dimensional pressure field are iteratively solved using the overrelaxation method until convergence. The cross section of the physical calculation is updated according to the three-dimensional temperature distribution to obtain more accurate calculation results. To validate the computational capability and accuracy of NECP-Panda for nuclear-thermal coupling, core power and temperature distribution were computed using the High Temperature Reactor Pebble-bed Module (HTR-PM) model of a HTGR nuclear power plant demonstration project. The power and temperature distributions obtained from NECP-Panda exhibit good agreement with those calculated by VSOP, a computer code system for the comprehensive numerical simulation of the physics of thermal reactors. Therefore, NECP-Panda has good computational power and accuracy for the thermal hydraulics calculation of PB-HTGR.
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