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In this paper we consider Bayesian estimation for the parameters of inverse Gaussian distribution. Our emphasis is on Markov Chain Monte Carlo methods. We provide complete implementation of the Gibbs sampler algorithm. Assuming an…

统计方法学 · 统计学 2012-10-17 B. N. Pandey , Pulastya Bandyopadhyay

We study Bayesian linear regression models with skew-symmetric scale mixtures of normal error distributions. These kinds of models can be used to capture departures from the usual assumption of normality of the errors in terms of heavy…

应用统计 · 统计学 2016-01-12 Francisco J. Rubio , Marc G. Genton

In this article, inferences about the multicomponent stress strength reliability are drawn under the assumption that strength and stress follow independent Pareto distribution with different shapes $(\alpha_1,\alpha_2)$ and common scale…

统计理论 · 数学 2024-08-29 Qazi Azhad Jamal , Mohd. Arshad , Nancy Khandelwal

We introduce a new generalization of the Pseudo-Lindley distribution by applying alpha power transformation. The obtained distribution is referred as the Pseudo-Lindley alpha power transformed distribution (\textit{PL-APT}). Some tractable…

统计理论 · 数学 2022-01-20 Modou Ngom , Moumouni Diallo , Adja Mbarka Fall , Gane Samb Lo

In this paper a new lifetime distribution which is obtained by compounding Lindley and geometric distributions, named Lindley-geometric (LG) distribution, is introduced. Several properties of the new distribution such as density, failure…

统计计算 · 统计学 2012-04-20 Hojjatollah Zakerzadeh , Eisa Mahmoudi

In this study an attempt has been made to propose a way to develop new distribution. For this purpose, we need only idea about distribution function. Some important statistical properties of the new distribution like moments, cumulants,…

统计方法学 · 统计学 2024-08-30 Brijesh P. Singh , Utpal Dhar Das

Adaptive experiment designs can dramatically improve statistical efficiency in randomized trials, but they also complicate statistical inference. For example, it is now well known that the sample mean is biased in adaptive trials.…

机器学习 · 统计学 2021-02-16 Vitor Hadad , David A. Hirshberg , Ruohan Zhan , Stefan Wager , Susan Athey

Bayesian inverse problems use data to update a prior probability distribution on uncertain parameter values to a posterior distribution. Such problems arise in many structural engineering applications, but computational solution of Bayesian…

数值分析 · 数学 2026-05-26 Jakob Scheffels , Elizabeth Qian , Iason Papaioannou , Elisabeth Ullmann

Flexible distributions for modelling angular data have received considerable attention in recent years, with ongoing work extending existing circular models to provide greater flexibility in capturing diverse angular behaviours. In this…

统计方法学 · 统计学 2026-03-18 Johan Ferreira , Delene van Wyk-de Ridder , Janet van Niekerk

The weighted forms of generalized survival and failure entropies of order ($\alpha,\beta$) are proposed and some properties are obtained. We further propose the dynamic versions of weighted generalized survival and failures entropies and…

统计理论 · 数学 2020-06-15 Siddhartha Chakraborty , Biswabrata Pradhan

We study objective Bayesian inference for linear regression models with residual errors distributed according to the class of two-piece scale mixtures of normal distributions. These models allow for capturing departures from the usual…

应用统计 · 统计学 2016-05-09 F. J. Rubio , K. Yu

A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative…

统计方法学 · 统计学 2025-01-15 Christian Acal , Juan Eloy Ruiz-Castro , David Maldonado , Juan B. Roldán

In this paper, we introduce a new extension of the generalized linear failure rate distributions. It includes some well-known lifetime distributions such as extension of generalized exponential and generalized linear failure rate…

统计理论 · 数学 2016-03-10 Mohammad Reza Kazemi , Ali Akbar Jafari , Saeid Tahmasebi

A novel statistical method is proposed and investigated for estimating a heavy tailed density under mild smoothness assumptions. Statistical analyses of heavy-tailed distributions are susceptible to the problem of sparse information in the…

统计方法学 · 统计学 2022-11-18 Surya T Tokdar , Sheng Jiang , Erika L Cunningham

The Lindley distribution and its numerous generalizations are widely used in statistical and engineering practice. Recently, a power transformation of Lindley distribution, called the power Lindley distribution, has been introduced by M. E.…

统计理论 · 数学 2019-07-02 Mohammed Khalleefah , Sofiya Ostrovska , Mehmet Turan

This paper addresses the task of modeling severity losses using segmentation when the data distribution does not fall into the usual regression frameworks. This situation is not uncommon in lines of business such as third-party liability…

应用统计 · 统计学 2021-11-29 Martin Bladt

Over the past decade, numerous theories have been proposed to explain the widespread vulnerability of deep neural networks to adversarial evasion attacks. Among these, the theory of non-robust features proposed by Ilyas et al. has been…

机器学习 · 计算机科学 2026-01-05 Jennifer Crawford , Amol Khanna , Fred Lu , Amy R. Wagoner , Stella Biderman , Andre T. Nguyen , Edward Raff

The concept of Entropy plays a key role in Information Theory, Statistics, and Machine Learning.This paper introduces a new entropy measure, called the t-entropy, which exploits the concavity of the inverse-tan function. We analytically…

信息论 · 计算机科学 2021-05-06 Saptarshi Chakraborty , Debolina Paul , Swagatam Das

The present paper considers modified extension of the exponential distribution with three parameters. We study the main properties of this new distribution, with special emphasis on its median, mode and moments function and some…

其他统计学 · 统计学 2015-10-28 M. A. El-Damcese , Dina. A. Ramadan

The pseudo-Lindley distribution was introduced as a useful generalization of the Lindley distribution in Zeghdoudi and Nedjar (2016) who showed interesting properties of their new laws and efficiencies in modeling data in Reliability and…

统计理论 · 数学 2023-03-29 Gane Samb Lo , Tchilabalo Abozou Kpanzou , Cheikh Mohamed Haidara