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In this note, the practical use of priors for Bayes estimators, of the two parameters of the Weibull reliability model, is discussed in a technological context. The meaning of the priors as expression of virtual data samples is analyzed.…

统计理论 · 数学 2013-10-29 Pasquale Erto , Massimiliano Giorgio

Two-piece location-scale models are used for modeling data presenting departures from symmetry. In this paper, we propose an objective Bayesian methodology for the tail parameter of two particular distributions of the above family: the…

统计方法学 · 统计学 2018-11-29 Fabrizio Leisen , Luca Rossini , Cristiano Villa

In many applications in biology, engineering and economics, identifying similarities and differences between distributions of data from complex processes requires comparing finite categorical samples of discrete counts. Statistical…

统计方法学 · 统计学 2023-07-11 Francesco Camaglia , Ilya Nemenman , Thierry Mora , Aleksandra M. Walczak

The maximum ${\log}_q$ likelihood estimation method is a generalization of the known maximum $\log$ likelihood method to overcome the problem for modeling non-identical observations (inliers and outliers). The parameter $q$ is a tuning…

统计方法学 · 统计学 2020-12-16 Mehmet Niyazi Çankaya , Roberto Vila

The analysis of progressively censored data has received considerable attention in the last few years. In this paper we consider the joint progressive censoring scheme for two populations. It is assumed that the lifetime distribution of the…

统计方法学 · 统计学 2017-06-26 Shuvashree Mondal , Debasis Kundu

In this paper, a Bayesian accelerated life testing model is presented. The Weibull distribution is used as the life distribution and the generalised Eyring model as the time transformation function. This is a model that allows for the use…

统计方法学 · 统计学 2021-11-30 Neill Smit , Lizanne Raubenheimer

This work introduces Bayesian quantile regression modeling framework for the analysis of longitudinal count data. In this model, the response variable is not continuous and hence an artificial smoothing of counts is incorporated. The…

统计方法学 · 统计学 2023-06-19 Sanket Jantre

In this paper several related estimation problems are addressed from a Bayesian point of view and optimal estimators are obtained for each of them when some natural loss functions are considered. Namely, we are interested in estimating a…

统计理论 · 数学 2021-10-27 A. G. Nogales

Dombi et al. (2019) introduced a three parameter omega distribution and showed that its asymptotic distribution is the Weibull model. We propose a new record-based transmuted generalization of the unit omega distribution by considering…

统计理论 · 数学 2024-09-04 Ashok Kumar Pathak , Mohd. Arshad , Alok Kumar Pandey , Alam Ali

The four-parameter Johnson's SB (JSB) and three-parameter Weibull distributions have received much attention in the field of forestry for characterizing diameters at breast height (DBH). In this work, we suggest the Bayesian method for…

统计方法学 · 统计学 2020-05-06 Mahdi Teimouri

Optimality results for two outstanding Bayesian estimation problems are given in this paper: the estimation of the sampling distribution for the squared total variation function and the estimation of the density for the $L^1$-squared loss…

统计理论 · 数学 2021-10-28 A. G. Nogales

Since the pioneering work by Koenker and Bassett (1978), quantile regression models and its applications have become increasingly popular and important for research in many areas. In this paper, a random effects ordinal quantile regression…

统计计算 · 统计学 2016-03-02 Rahim Alhamzawi

This paper explores Bayesian estimation for categorical data, focusing on simple yet effective models that provide a foundation for applying more advanced methods accurately and reliably in real-world applications. We begin by revisiting…

统计方法学 · 统计学 2025-09-03 Jan Kalina

In this paper we study bayesian analysis of Modified Weibull distribution under progressively censored competing risk model. This study is made for progressively censored data. We use deterministic scan Gibbs sampling combined with slice…

统计计算 · 统计学 2016-05-24 Arabin Kumar Dey , Abhilash Jha , Sanku Dey

The problem of simultaneous estimation of location/scale parameters $\theta_1$ and $\theta_2$ of a general bivariate location/scale model, when the ordering between the parameters is known apriori (say, $\theta_1\leq \theta_2$), has been…

统计理论 · 数学 2023-01-03 Naresh Garg , Neeraj Misra

The Kumaraswamy Inverse Weibull distribution has the ability to model failure rates that have unimodal shapes and are quite common in reliability and biological studies. The three-parameter Kumaraswamy Inverse Weibull distribution with…

统计方法学 · 统计学 2015-05-21 Felipe R. S. de Gusmão , Vera L. D. Tomazella , Ricardo S. Ehlers

We consider component-wise equivariant estimation of order restricted location/scale parameters of a general bivariate distribution under quite general conditions on underlying distributions and the loss function. This paper unifies various…

统计理论 · 数学 2022-07-05 Naresh Garg , Neeraj Misra

This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. Informed by the structure of the governing equations, the task of learning a reduced-order model from data is posed as a Bayesian…

数值分析 · 数学 2023-01-18 Mengwu Guo , Shane A. McQuarrie , Karen E. Willcox

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

机器学习 · 计算机科学 2019-04-03 Konstantin Posch , Jürgen Pilz

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

统计方法学 · 统计学 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa