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The Power Generalized DUS (PGDUS) Transformation is significant in reliability theory, especially for analyzing parallel systems. From the Generalized Extreme Value distribution, Inverse Weibull model particularly has wide applicability in…

Methodology · Statistics 2025-04-18 P Gauthami , V M Chacko

This paper introduces a new generalization of the power generalized Weibull distribution called the generalized power generalized Weibull distribution. This distribution can also be considered as a generalization of Weibull distribution.…

Statistics Theory · Mathematics 2018-10-16 Mahmoud Ali Selim

We introduce a general class of continuous univariate distributions with positive support obtained by transforming the class of two-piece distributions. We show that this class of distributions is very flexible, easy to implement, and…

Applications · Statistics 2015-11-06 Francisco J. Rubio , Yili Hong

In this paper, we introduce a bivariate exponentaited generalized Weibull-Gompertz distribution. The model introduced here is of Marshall-Olkin type. Several properties are studied such as bivariate probability density function and it is…

Statistics Theory · Mathematics 2015-01-19 M. A. EL-Damcese , Abdelfattah Mustafa , M. S. Eliwa

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…

Methodology · Statistics 2012-12-24 Eisa Mahmoudi , Afsaneh Sepahdar

The progressive censoring scheme has received considerable amount of attention in the last fifteen years. During the last few years joint progressive censoring scheme has gained some popularity. Recently, the authors Mondal and Kundu ("A…

Applications · Statistics 2018-01-03 Shuvashree Mondal , Debasis Kundu

In this paper, we introduce a new four-parameter generalization of the exponentiated Weibull (EW) distribution, called the exponentiated Weibull-logarithmic (EWL) distribution, which obtained by compounding EW and logarithmic distributions.…

Methodology · Statistics 2014-02-24 Eisa Mahmoudi , Afsaneh Sepahdar , Artur Lemonte

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…

Methodology · Statistics 2017-06-26 Shuvashree Mondal , Debasis Kundu

In reliability engineering, data about failure events is often scarce. To arrive at meaningful estimates for the reliability of a system, it is therefore often necessary to also include expert information in the analysis, which is…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

The failure of a system can result from the simultaneous effects of multiple causes, where assigning a specific cause may be inappropriate or unavailable. Examples include contributing causes of death in epidemiology and the aetiology of…

Methodology · Statistics 2025-03-13 Kai Wang , Yuqin Mu , Shenyi Zhang , Zhengjun Zhang , Chengxiu Ling

A generalization of the generalized inverse Weibull distribution so-called transmuted generalized inverse Weibull dis- tribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a…

Methodology · Statistics 2013-09-16 Faton Merovci , Ibrahim Elbatal , Alaa Ahmed

The peculiar properties of the Inverse Weibull (IW) distribution are shown. It is proven that the IW distribution is one of the few models having upside- down bathtub (UBT) shaped hazard function. Three real and typical de generative…

Methodology · Statistics 2013-05-30 Pasquale Erto

The beta Weibull distribution was introduced by Famoye et al. (2005) and studied by these authors. However, they do not give explicit expressions for the moments. We now derive explicit closed form expressions for the cumulative…

Methodology · Statistics 2008-09-11 Gauss M. Cordeiro , Alexandre B. Simas , Borko D. Stosic

In this short note, we derive a new bias adjusted maximum likelihood estimate for the shape parameter of the Weibull distribution with complete data and type I censored data. The proposed estimate of the shape parameter is significantly…

Methodology · Statistics 2023-02-13 Enes Makalic , Daniel F. Schmidt

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:…

Methodology · Statistics 2025-05-07 Fatih Kızılaslan , David Michael Swanson , Valeria Vitelli

This paper explores the extension of the classical two-parameter Weibull distribution to a four-parameter Harris extended Weibull (HEW) distribution. The flexibility of this probability distribution is illustrated by the varying shapes of…

Methodology · Statistics 2025-10-01 Prithul Chaturvedi , Himanshu Pokhriyal

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…

Computation · Statistics 2015-07-07 Pasquale Erto

Risk management is an important part of financial practice, essential for protecting assets and investments in modern-day volatile markets. This paper proposes a mixture of mirrored Weibull (MMW) distribution for modelling stock returns and…

Applications · Statistics 2026-05-20 Zijun Jia , Sharon X. Lee

Birnbaum-Saunders models have been widely used to model positively skewed data. In this paper, we introduce a bivariate Birnbaum-Saunders distribution which has the means as parameters. We present some properties of the univariate and…

Methodology · Statistics 2018-05-01 Helton Saulo , Jeremias Leão , Roberto Vila , Victor Leiva , Vera Tomazella

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…

Computation · Statistics 2016-05-24 Arabin Kumar Dey , Abhilash Jha , Sanku Dey