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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 paper, we introduce a new class of distributions by compounding the exponentiated extended Weibull family and power series family. This distribution contains several lifetime models such as the complementary extended Weibull-power…

其他统计学 · 统计学 2015-03-31 Saeid Tahmasebi , Ali Akbar Jafari

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 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

This paper is devoted to study a new three- parameters model called the Exponential Flexible Weibull extension (EFWE) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including…

统计理论 · 数学 2016-05-27 Beih S. El-Desouky , Abdelfattah Mustafa , Shamsan AL-Garash

Weibull distribution is widely used in modelling health data. However, its lack of sufficient tail flexibility often results in poor fit in extreme events. We proposed another three-parameter extension of the Weibull distribution with…

统计方法学 · 统计学 2026-04-07 Isqeel Ogunsola , Nurudeen Ajadi , Gboyega Adepoju

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.…

统计理论 · 数学 2018-10-16 Mahmoud Ali Selim

In this paper, we analyze the relative errors that crop up in the various reliability measures due to the tacit assumption that the components are independently working associated with a $n$-component series system or a parallel system…

统计理论 · 数学 2025-03-28 Subarna Bhattacharjee , Aninda Kumar Nanda , Subhashree Patra

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.…

统计方法学 · 统计学 2014-02-24 Eisa Mahmoudi , Afsaneh Sepahdar , Artur Lemonte

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 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…

统计方法学 · 统计学 2025-04-18 P Gauthami , V M Chacko

In this article, we focus on stochastic orders to compare the magnitudes of two parallel systems from Weibull distributions when one set of scale parameters majorizes the other. The new results obtained here extend some of those proved by…

统计理论 · 数学 2021-02-19 Nuria Torrado , Subhash C. Kochar

In engineering systems, it is usually assumed that lifetimes of components are independent and identically distributed (iid). But, the failure of a component results in a higher load on the remaining components and hence causes the…

统计理论 · 数学 2019-12-18 M. Doostparast , M. Hashempour , E. Velayati Moghaddam 1

In recent years, under deregulated environment, electric utility companies have been encouraged to ensure maximum system reliability through the employment of cost-effective long-term asset management strategies. To help achieve this goal,…

计算工程、金融与科学 · 计算机科学 2020-07-02 Ming Dong , Alexandre B. Nassif

The Weibull function is widely used to describe skew distributions observed in nature. However, the origin of this ubiquity is not always obvious to explain. In the present paper, we consider the well-known Galton-Watson branching process…

数据分析、统计与概率 · 物理学 2015-05-27 Junghyo Jo , Jean-Yves Fortin , M. Y. Choi

This paper presents a hierarchical Bayesian approach to the estimation of components' reliability (survival) using a Weibull model for each of them. The proposed method can be used to estimation with general survival censored data, because…

统计方法学 · 统计学 2014-07-17 Felipe L. Bhering , Carlos A. de B. Pereira , Adriano Polpo

In this paper, we introduce the generalized Gompertz-power series class of distributions which is obtained by compounding generalized Gompertz and power series distributions. This compounding procedure follows same way that was previously…

统计方法学 · 统计学 2015-09-01 Saeid Tahmasebi , Ali Akbar Jafari

We introduce in this paper a new class of distributions which generalizes the linear failure rate (LFR) distribution and is obtained by compounding the LFR distribution and power series (PS) class of distributions. This new class of…

统计计算 · 统计学 2014-02-24 Eisa Mahmoudi , Ali Akbar Jafari

This paper introduces a new three-parameters model called the Weibull-G exponential distribution (WGED) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including quantile, moments,…

统计理论 · 数学 2016-06-24 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

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…

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