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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

Fertility plans, measured by the number of planned children, have been found to be affected by education and family background via complex tail dependencies. This challenge was previously met with the use of non-parametric jittering…

统计方法学 · 统计学 2019-11-18 Alina Peluso , Veronica Vinciotti , Keming Yu

In this paper we propose a new four-parameters distribution with increasing, decreasing, bathtub-shaped and unimodal failure rate, called as the exponentiated Weibull-Poisson (EWP) distribution. The new distribution arises on a latent…

统计方法学 · 统计学 2012-12-24 Eisa Mahmoudi , Afsaneh Sepahdar

Starting from the classical definition of stress-life Wohler curve in the form of Basquin's law, an analytical procedure for the calibration of the four parameters Wohler curve (Weibull's law) for a plain specimen is proposed. The obtained…

应用物理 · 物理学 2019-09-25 Pietro D'Antuono

In this article we consider a simple step stress set up under the cumulative exposure model assumption. At each stress level the lifetime distribution of the experimental units are assumed to follow the generalized exponential distribution.…

应用统计 · 统计学 2017-07-18 Debashis Samanta , Debasis Kundu , Ayon Ganguly

Based on suitable left-truncated or censored data, two flexible classes of $M$-estimations of Weibull tail coefficient are proposed with two additional parameters bounding the impact of extreme contamination. Asymptotic normality with…

统计理论 · 数学 2018-10-18 Chengping Gong , Chengxiu Ling

Introduction In analysis of time-to-event outcomes, a mixture cure (MC) model is preferred over a standard survival model when the sample includes individuals who will never experience the event of interest. Motivated by a cohort study of…

应用统计 · 统计学 2026-04-02 Changchang Xu , Laurent Briollais , Irene L Andrulis , Shelley B Bull

This paper introduces a new generalization of the flexible Weibull distribution with three parameters this model called the Marshall-Olkin flexible Weibull extension (MO-FWE) distribution which exhibits bathtub-shaped hazard rate. We…

统计理论 · 数学 2016-09-29 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

A six parameter distribution so-called the McDonald modified Weibull distribution is defined and studied. The new distribution contains, as special submodels, several important distributions discussed in the literature, such as the beta…

统计方法学 · 统计学 2013-09-13 Faton Merovci , Ibrahim Elbatal

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

This paper considers the three-parameter exponentiated Weibull family under type II censoring. It first graphically illustrates the shape property of the hazard function. Then, it proposes a simple algorithm for computing the maximum…

统计方法学 · 统计学 2011-02-03 Lianfen Qian

Researchers have widely used accelerated life tests to determine an optimal inspection plan for lot acceptance. All such plans are proposed by assuming a known relationship between the lifetime characteristic(s) and the accelerating stress…

统计计算 · 统计学 2026-02-06 Sandip Barui , Shovan Chowdhury

We develop a maximum likelihood estimating approach for time-to-event Weibull regression models with outcome-dependent sampling, where sampling of subjects is dependent on the residual fraction of the time left to developing the event of…

应用统计 · 统计学 2014-08-01 Brian D. M. Tom , Vernon T. Farewell , Sheila M. Bird

In this article, we consider models for time-to-event data obtained from experiments in which stress levels are altered at intermediate stages during the observation period. These experiments, known as step-stress tests, belong to the…

应用统计 · 统计学 2018-07-04 Nandini Kannan , Debasis Kundu

Micron-scale single crystalline materials deform plastically via large intermittent strain bursts that make the deformation process unpredictable. Here we investigate this stochastic phenomenon by analysing the plastic response of an…

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

The first step in statistical reliability studies of coherent systems is the estimation of the reliability of each system component. For the cases of parallel and series systems the literature is abundant. It seems that the present paper is…

In this paper we introduce the exponentiated Weibull power series (EWPS) class of distributions which is obtained by compounding exponentiated Weibull and power series distributions, where the compounding procedure follows same way that was…

统计方法学 · 统计学 2012-12-27 Eisa Mahmoudi , Mitra Shiran

In this article, bootstrap and Shewhart type process control monitoring schemes are proposed for the quantiles of generalized Weibull distribution under hybrid censoring. Monitoring schemes for the quantiles of Weibull, generalized…

统计方法学 · 统计学 2023-09-22 Amarjit Kundu , Shovan Chowdhury , Bidhan Modok

We study random fiber bundle model (RFBM) with different threshold strength distributions and load sharing rules. A mixed RFBM within global load sharing scheme is introduced which consists of weak and strong fibers with uniform…

统计力学 · 物理学 2007-05-23 Uma Divakaran , Amit Dutta