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In this paper, a new bivariate discrete distribution is introduced which called bivariate discrete exponentiated Weibull (BDEW) distribution. Several of its mathematical statistical properties are derived such as the joint cumulative…

统计理论 · 数学 2018-05-15 M. El- Morshedy , A. A. Khalil

Profile likelihood intervals of large quantiles in Extreme Value distributions provide a good way to estimate these parameters of interest since they take into account the asymmetry of the likelihood surface in the case of small and…

应用统计 · 统计学 2010-05-21 A. Bolívar , E. Díaz-Francés , J. Ortega , E. Vilchis

The aim of the present work is to investigate the performances of a specific Bayesian control chart used to compare two processes. The chart monitors the ratio of the percentiles of a key characteristic associated with the processes. The…

统计计算 · 统计学 2015-07-07 Pasquale Erto

We propose a Bayesian framework for planning simple step-stress accelerated life tests when items are subject to two independent competing failure modes We assume that the competing risks are independent, with lifetimes following Weibull…

统计方法学 · 统计学 2026-04-13 Kiran Prajapat

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

Many random phenomena, including life-testing and environmental data, show positive values and excess zeros, which pose modeling challenges. In life testing, immediate failures result in zero lifetimes, often due to defects or poor quality,…

统计方法学 · 统计学 2026-02-06 Shivshankar Nila , Ishapathik Das , N. Balakrishna

In this paper, we have investigated the reliability of a K-out-of-N system for the components following Weibull distribution based on the generalized progressive hybrid censored data. We have obtained the maximum likelihood estimates (MLEs)…

统计方法学 · 统计学 2022-08-02 Subhankar Dutta , Suchandan Kayal

Engineered timber is pivotal to low-carbon construction, but moisture uptake during its service life can compromise structural reliability and impede reuse within a circular economy model. Despite growing interest, quantitative standards…

应用统计 · 统计学 2025-06-16 Yiping Meng , Chulin Jiang , Courtney Jayne Scurr , Farzad Pour Rahimian , David Hughes

The Type-I and Type-II censoring schemes are the most prominent and commonly used censoring schemes in practice. In this work, a mixture of Type-I and Type- II censoring schemes, named the Type I-Type II mixture censoring scheme, has been…

统计方法学 · 统计学 2025-07-25 K. K. Anakha , V. M. Chacko

Survival analysis is a widely-used technique for analyzing time-to-event data in the presence of censoring. In recent years, numerous survival analysis methods have emerged which scale to large datasets and relax traditional assumptions…

机器学习 · 计算机科学 2023-11-06 Mert Ketenci , Shreyas Bhave , Noémie Elhadad , Adler Perotte

In this paper, we introduce a new class of bivariate distributions called the bivariate exponentiated extended Weibull distributions. The model introduced here is of Marshall-Olkin type. This new class of bivariate distributions contains…

统计方法学 · 统计学 2015-07-28 Rasool Roozegar , Ali Akbar Jafari

The multivariate conditional probability distribution models the effects of a set of variables onto the statistical properties of another set of variables. In the study of systemic risk in a financial system, the multivariate conditional…

风险管理 · 定量金融 2021-05-05 Tomaso Aste

In the present paper, Probability weighted moments (PWMs) method for parameter estimation of the median based unit weibull (MBUW) distribution is discussed. The most widely used first order PWMs is compared with the higher order PWMs for…

统计方法学 · 统计学 2025-11-20 Iman Mohammed Attia

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

Highly robust and efficient estimators for the generalized linear model with a dispersion parameter are proposed. The estimators are based on three steps. In the first step the maximum rank correlation estimator is used to consistently…

统计方法学 · 统计学 2017-03-29 Michael Amiguet , Alfio Marazzi , Marina Valdora , Victor Yohai

We present a probabilistic framework for brittle fracture that builds upon Weibull statistics and strain gradient plasticity. The constitutive response is given by the mechanism-based strain gradient plasticity theory, aiming to accurately…

材料科学 · 物理学 2019-06-26 Emilio Martínez-Pañeda , Sandra Fuentes-Alonso , Covadonga Betegón

The Gumbel model is a very popular statistical model due to its wide applicability for instance in the course of certain survival, environmental, financial or reliability studies. In this work, we have introduced a bimodal generalization of…

统计方法学 · 统计学 2021-06-22 Cira E. G. Otiniano , Roberto Vila , Pedro C. Brom , Marcelo Bourguignon

In statistical process control Weibull distribution can be used to model the time between events or failures (TBE) in a process with increasing decreasing or constant failure rates. Specifically it helps in monitoring processes where the…

应用统计 · 统计学 2025-08-11 Tanuja Negi

In this paper, we introduce a new bivariate distribution we called it bivariate expo- nentiated modified Weibull extension distribution (BEMWE). The model introduced here is of Marshall-Olkin type. The marginals of the new bivariate…

统计理论 · 数学 2015-01-16 A. El-Gohary , M. El-Morshedy

In this paper a new lifetime distribution, which is called the exponentiated Weibull-geometric (EWG) distribution, is introduced. This new distribution obtained by compounding the exponentiated Weibull and geometric distributions. The EWG…

统计方法学 · 统计学 2012-12-23 Eisa Mahmoudi , Mitra Shiran