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In recent years, more attention has been paid prominently to accelerated degradation testing in order to characterize accurate estimation of reliability properties for systems that are designed to work properly for years of even decades.…

应用统计 · 统计学 2021-09-23 Helmi Shat

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

Estimating the duration of user behavior is a central concern for most internet companies. Survival analysis is a promising method for analyzing the expected duration of events and usually assumes the same survival function for all subjects…

应用统计 · 统计学 2020-03-27 Yuki Ohnishi , Shinsuke Sugaya

In this paper, we introduce a new class of distributions which is obtained by compounding the extended Weibull and power series distributions. The compounding procedure follows the same set-up carried out by Adamidis and Loukas (1998) and…

统计方法学 · 统计学 2012-04-06 Rodrigo B. Silva , Marcelo B. Pereira , Cícero R. B. Dias , Gauss M. Cordeiro

In this paper, we use the Hawkes process to model the sequence of failure, i.e., events of compressor station and conduct survival analysis on various failure events of the compressor station. However, until now, nearly all relevant…

机器学习 · 计算机科学 2021-12-28 Lu-ning Zhang , Jian-wei Liu , Xin Zuo

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

统计方法学 · 统计学 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

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

We are concerned with the flexible parametric analysis of bivariate survival data. Elsewhere, we have extolled the virtues of the "power generalized Weibull" (PGW) distribution as an attractive vehicle for univariate parametric survival…

统计方法学 · 统计学 2019-01-11 M. C. Jones , Angela Noufaily , Kevin Burke

This paper provides a review of model selection and model averaging methods for multinomial probit models estimated using the MACML approach. The proposed approaches are partitioned into test based methods (mostly derived from the…

统计方法学 · 统计学 2017-04-04 Manuel Batram , Dietmar Bauer

While the hurdle Poisson regression is a popular class of models for count data with excessive zeros, the link function in the binary component may be unsuitable for highly imbalanced cases. Ordinary Poisson regression is unable to handle…

应用统计 · 统计学 2020-08-14 Shuang Yin , Dipak K. Dey , Emiliano A. Valdez , Xiaomeng Li

We study maximum likelihood estimation in log-linear models under conditional Poisson sampling schemes. We derive necessary and sufficient conditions for existence of the maximum likelihood estimator (MLE) of the model parameters and…

统计理论 · 数学 2012-07-24 Stephen E. Fienberg , Alessandro Rinaldo

Wind speed statistics is generally modeled using the Weibull distribution. This distribution is convenient since it fully characterizes analytically with only two parameters (the shape and scale parameters) the shape of distribution and the…

大气与海洋物理 · 物理学 2012-11-19 Philippe Drobinski , Corentin Coulais

We propose new model selection criteria based on generalized ridge estimators dominating the maximum likelihood estimator under the squared risk and the Kullback-Leibler risk in multivariate linear regression. Our model selection criteria…

统计理论 · 数学 2016-04-08 Yuichi Mori , Taiji Suzuki

For the basic maximum likelihood estimating function of the two parameters Weibull distribution, a simple proof on its global monotonicity is given to ensure the existence and uniqueness of its solution. The boundary of the function's…

统计方法学 · 统计学 2009-10-04 DeTao Mao , Wenyuan Li

This paper addresses the problem of estimating the extreme value index in presence of random censoring for distributions in the Weibull domain of attraction. The methodologies introduced in [Worms (2014)], in the heavy-tailed case, are…

统计理论 · 数学 2015-06-12 Julien Worms , Rym Worms

In this technical report, we consider conditional density estimation with a maximum likelihood approach. Under weak assumptions, we obtain a theoretical bound for a Kullback-Leibler type loss for a single model maximum likelihood estimate.…

统计理论 · 数学 2012-07-11 Serge Cohen , Erwan Le Pennec

The Curie-Weiss model is used to study phase transitions in statistical mechanics and has been the object of rigorous analysis in mathematical physics. We analyse the problem of reconstructing the probability measure of a multi-group…

概率论 · 数学 2025-05-29 Miguel Ballesteros , Ramsés H. Mena , Arno Siri-Jégousse , Gabor Toth

A novel mixture cure frailty model is introduced for handling censored survival data. Mixture cure models are preferable when the existence of a cured fraction among patients can be assumed. However, such models are heavily underexplored:…

统计方法学 · 统计学 2025-05-07 Fatih Kızılaslan , David Michael Swanson , Valeria Vitelli

We present a statistical model which is able to capture some interesting features exhibited in the Brazilian test. The model is based on breakable elements which break when the force experienced by the elements exceed their own load…

软凝聚态物质 · 物理学 2016-05-24 Sumanta Kundu , Anna Stroisz , Srutarshi Pradhan

It is commonly accepted that some phenomena are social: for example, individuals' smoking habits often correlate with those of their peers. Such correlations can have a variety of explanations, such as direct contagion or shared…

统计理论 · 数学 2025-08-08 William W. Wang , Ali Jadbabaie