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In this paper we investigate the estimation of the unknown parameters of a competing risk model based on a Weibull distributed decreasing failure rate and an exponentially distributed constant failure rate, under right censored…

统计理论 · 数学 2021-01-12 Hamida Talhi , Hiba Aiachi , Nadji Rahmania

Under adaptive progressive Type-II censoring schemes, order restricted inference based on competing risks data is discussed in this article. The latent failure lifetimes for the competing causes are assumed to follow Weibull distributions,…

统计方法学 · 统计学 2022-05-10 Ayon Ganguly , Debanjan Mitra , Debasis Kundu

The hybrid censoring is a mixture of Type I and Type II censoring schemes. This paper presents the statistical inferences of the Inverse Weibull distribution when the data are Type-I hybrid censored. First we consider the maximum likelihood…

其他统计学 · 统计学 2020-04-07 Mohammad Kazemi , Mina Azizpour

The Weibull distribution is one of the most used tools in reliability analysis. In this paper, assuming a Bayesian approach, we propose necessary and sufficient conditions to verify when improper priors lead to proper posteriors for the…

统计理论 · 数学 2020-05-19 Eduardo Ramos , Pedro L. Ramos

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

Estimation of reliability and hazard rate is one of the most important problems raised in many applications especially in engineering studies as well as human lifetime. In this regard, different methods of estimation have been used. Each…

统计方法学 · 统计学 2021-07-27 Hassan Piriaeia , Omid Shojaee

Analysis of competing risks data plays an important role in the lifetime data analysis. Recently Feizjavadian and Hashemi (Computational Statistics and Data Analysis, vol. 82, 19-34, 2015) provided a classical inference of a competing risks…

统计方法学 · 统计学 2021-05-04 Debashis Samanta , Debasis Kundu

Measures of relative variability, such as the Pearson's coefficient of variation (CV$_p$), give much insight into the spread of lifetime distributions, like the Weibull distribution. The estimation of the Weibull CV$_p$ in modern statistics…

统计方法学 · 统计学 2025-11-21 Bankitdor M Nongrum , Adarsha Kumar Jena

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

In this paper, we consider survival analysis with right-censored data which is a common situation in predictive maintenance and health field. We propose a model based on the estimation of two-parameter Weibull distribution conditionally to…

统计方法学 · 统计学 2020-02-24 Achraf Bennis , Sandrine Mouysset , Mathieu Serrurier

This paper proposes a robust Bayesian accelerated failure time model for censored survival data. We develop a new family of life-time distributions using a scale mixture of the generalized gamma distributions, where we propose a novel super…

统计方法学 · 统计学 2025-04-16 Yasuyuki Hamura , Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

In this paper, a competing risks model is analyzed based on improved adaptive type-II progressive censored sample (IAT-II PCS). Two independent competing causes of failures are considered. It is assumed that lifetimes of the competing…

统计方法学 · 统计学 2023-02-20 Subhankar Dutta , Suchandan Kayal

A Hybrid censoring scheme is mixture of Type-I and Type-II censoring schemes. Based on hybrid censored samples, this paper deals with the in- ference on R = P(X > Y ), when X and Y are two independent Weibull distributions with different…

其他统计学 · 统计学 2017-07-20 Akbar Asgharzadeh , Mohammad Kazemi , Debasis Kundu

Discrete data are collected in many application areas and are often characterised by highly skewed and power-lawlike distributions. An example of this, which is considered in this paper, is the number of visits to a specialist, often taken…

统计方法学 · 统计学 2021-02-15 Hamed Haselimashhadi , Veronica Vinciotti , Keming Yu

Based on expert opinions, informative prior elicitation for the common Weibull lifetime distribution usually presents some difficulties since it requires to elicit a two-dimensional joint prior. We consider here a reliability framework…

统计方法学 · 统计学 2010-10-22 Nicolas Bousquet

In this article, we consider statistical inference based on dependent competing risks data from Marshall-Olkin bivariate Weibull distribution. The maximum likelihood estimates of the unknown model parameters have been computed by using the…

统计方法学 · 统计学 2023-04-20 Subhankar Dutta , Suchandan Kayal

Bayesian nonparametric methods are a popular choice for analysing survival data due to their ability to flexibly model the distribution of survival times. These methods typically employ a nonparametric prior on the survival function that is…

统计方法学 · 统计学 2022-02-22 Edwin Fong , Brieuc Lehmann

The problem of estimating censored linear regression models with autocorrelated errors arises in many environmental and social studies. The present work proposes a Bayesian approach to estimate censored regression models with AR(p) errors.…

统计方法学 · 统计学 2023-01-06 Rodney Sousa , Isabel Pereira , Maria Eduarda Silva , Brendan McCabe

This research develops a Bayesian framework for analyzing failure times using the Weibull distribution, addressing challenges in prior selection due to the lack of conjugate priors and multi-dimensional sufficient statistics. We propose an…

统计方法学 · 统计学 2025-06-16 Tobias Oketch , Mohammad Sepehrifar

In this review, we present a simple guide for researchers to obtain pseudo-random samples with censored data. We focus our attention on the most common types of censored data, such as type I, type II, and random censoring. We discussed the…

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