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The aim of this paper, is to define a bivariate exponentiated generalized linear exponential distribution based on Marshall-Olkin shock model. Statistical and reliability properties of this distribution are discussed. This includes…

统计理论 · 数学 2017-10-03 Mohamed Ibrahim , M. S. Eliwa , M. El- Morshedy

We consider a generalization of the variance-gamma (generalized asymmetric Laplace) distribution, defined as a normal mean - variance mixture with a gamma mixing distribution. While this model is typically studied in the univariate setting,…

统计方法学 · 统计学 2026-05-04 Tomasz J. Kozubowski , Andrey Sarantsev , James A. Spiker

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

统计方法学 · 统计学 2021-01-19 Manuel M. Eichenlaub

The multivariate generalized Gaussian distribution (MGGD), also known as the multivariate exponential power (MEP) distribution, is widely used in signal and image processing. However, estimating MGGD parameters, which is required in…

统计方法学 · 统计学 2023-12-13 Nora Ouzir , Frédéric Pascal , Jean-Christophe Pesquet

Composite likelihood inference has gained much popularity thanks to its computational manageability and its theoretical properties. Unfortunately, performing composite likelihood ratio tests is inconvenient because of their awkward…

统计计算 · 统计学 2014-08-01 Manuela Cattelan , Nicola Sartori

The so-called Pareto-Levy or power-law distribution has been successfully used as a model to describe probabilities associated to extreme variations of worldwide stock markets indexes data and it has the form $Pr(X>x) ~ x**(-alpha) for…

其他凝聚态物理 · 物理学 2009-11-10 H. F. Coronel-Brizio , A. R. Hernandez-Montoya

Imputing missing potential outcomes using an estimated regression function is a natural idea for estimating causal effects. In the literature, estimators that combine imputation and regression adjustments are believed to be comparable to…

统计理论 · 数学 2023-01-20 Zhexiao Lin , Fang Han

In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains some new sub-models such as the bivariate generalized…

统计计算 · 统计学 2015-08-04 Ali Akbar Jafari , Rasool Roozegar

The Generalized Pareto Distribution (GPD) plays a central role in modelling heavy tail phenomena in many applications. Applying the GPD to actual datasets however is a non-trivial task. One common way suggested in the literature to…

统计理论 · 数学 2017-08-08 Se Yoon Lee , Joseph H. T. Kim

Consider a problem of predicting a response variable using a set of covariates in a linear regression model. If it is \emph{a priori} known or suspected that a subset of the covariates do not significantly contribute to the overall fit of…

应用统计 · 统计学 2011-09-13 SM Enayetur Raheem , S. Ejaz Ahmed

Count data are common in medical research. When these data have more zeros than expected by the most used count distributions, it is common to employ a zero-inflated regression model. However, the interpretability of these models is much…

统计方法学 · 统计学 2025-09-30 Gustavo H. A. Pereira , Jeremias Leão , Manoel Santos-Neto , Jianwen Cai

In order to better fit real-world datasets, studying asymmetric distribution is of great interest. In this work, we derive several mathematical properties of a general class of asymmetric distributions with positive support which shows up…

We introduce a new five-parameter family of size distributions on the semi-finite interval $[x_0, \infty), x_0 \geqslant 0$, with two attractive features. First, it interpolates between power laws, such as the Pareto distribution, and power…

统计理论 · 数学 2016-07-08 Corinne Sinner , Yves Dominicy , Christophe Ley , Julien Trufin , Patrick Weber

We discuss the use of likelihood asymptotics for inference on risk measures in univariate extreme value problems, focusing on estimation of high quantiles and similar summaries of risk for uncertainty quantification. We study whether…

统计方法学 · 统计学 2021-01-28 Léo R. Belzile , Anthony C. Davison

This paper presents foundational theoretical results on distributed parameter estimation for undirected probabilistic graphical models. It introduces a general condition on composite likelihood decompositions of these models which…

机器学习 · 统计学 2014-06-13 Yariv Dror Mizrahi , Misha Denil , Nando de Freitas

The inverse Gaussian (IG) is one of the most famous and considered distributions with positive support. We propose a convenient mode-based parameterization yielding the reparametrized IG (rIG) distribution; it allows/simplifies the use of…

统计方法学 · 统计学 2017-07-17 Antonio Punzo

The generalized exponential distribution is a well-known probability model in lifetime data analysis and several other research areas, including precipitation modeling. Despite having broad applications for independently and identically…

应用统计 · 统计学 2025-11-10 Arijit Dey , Arnab Hazra

Compound Poisson distributions have been employed by many authors to fit experimental data, typically via the method of moments or maximum likelihood estimation. We propose a new technique and apply it to several sets of published data. It…

统计方法学 · 统计学 2025-04-01 S. R. Mane

The univariate distorted distribution were introduced in risk theory to represent changes (distortions) in the expected distributions of some risks. Later they were also applied to represent distributions of order statistics, coherent…

统计理论 · 数学 2020-10-28 Jorge Navarro , Camilla Calì , Maria Longobardi , Fabrizio Durante

This paper proposes a general class of regression models for continuous proportions when the data contain zeros or ones. The proposed class of models assumes that the response variable has a mixed continuous-discrete distribution with…

统计方法学 · 统计学 2011-11-04 Raydonal Ospina , Silvia L. P. Ferrari