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Recently, Verma et al. (2025) introduced a novel generalized class of Kavya-Manoharan distributions, which have demonstrated significant utility in reliability analysis and the modeling of lifetime data. This paper proposes an extension of…

统计方法学 · 统计学 2025-09-30 Lazhar Benkhelifa

In this paper, we introduce a new extension of the generalized linear failure rate distributions. It includes some well-known lifetime distributions such as extension of generalized exponential and generalized linear failure rate…

统计理论 · 数学 2016-03-10 Mohammad Reza Kazemi , Ali Akbar Jafari , Saeid Tahmasebi

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

统计方法学 · 统计学 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

Recently it has been observed that the bivariate generalized linear failure rate distribution can be used quite effectively to analyze lifetime data in two dimensions. This paper introduces a more general class of bivariate distributions.…

应用统计 · 统计学 2015-08-06 Rasool Roozegar , Ali Akbar Jafari

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 propose a new lifetime model, called the odd generalized exponential linear failure rate distribution. Some statistical properties of the proposed distribution such as the moments, the quantiles, the median, and the mode…

统计理论 · 数学 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure…

应用统计 · 统计学 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

A new lifetime model, named the Modi linear failure rate distribution, is suggested. This flexible model is capable of accommodating a wide range of hazard rate shapes, including decreasing, increasing, bathtub, upside-down bathtub, and…

统计方法学 · 统计学 2026-02-26 Lazhar Benkhelifa

In this article, a generalized inverse xgamma distribution (GIXGD) has been introduced as the generalized version of the inverse xgamma distribution. The proposed model exhibits the pattern of non-monotone hazard rate and belongs to family…

统计方法学 · 统计学 2018-12-13 Harsh Tripathi , Abhimanyu Singh Yadav , Mahendra Saha , Sumit Kumar

The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time, the called Kumaraswamy Pareto distribution is introduced and studied. The new…

统计方法学 · 统计学 2012-12-05 Marcelo B. Pereira , Rodrigo B. Silva , Luz M. Zea , Gauss M. Cordeiro

In order to improve the already existing models that are used extensively in bio sciences and applied sciences research, a new class of Weighted Power function distribution (WPFD) has been proposed with its various properties and different…

其他统计学 · 统计学 2020-08-03 Azam Zaka , Ahmad Saeed Akhter , Riffat Jabeen

In this communication, we introduce a new statistical model and study its various mathematical properties. The expressions for hazard rate, reversed hazard rate, and odd functions are provided. We explore the asymptotic behaviors of the…

统计方法学 · 统计学 2023-04-24 Tuhin Subhra Mahatao , Subhankar Dutta , Suchandan Kayal

In this paper, we introduce the Gompertz power series class of distributions which is obtained by compounding Gompertz and power series distributions. This distribution contains several lifetime models such as Gompertz-geometric,…

统计方法学 · 统计学 2015-09-14 Ali Akbar Jafari , Saeid Tahmasebi

This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution…

统计方法学 · 统计学 2024-05-21 Alok Kumar Pandey , Alam Ali , Ashok Kumar Pathak

A new four-parameter model called the Marshall-Olkin extended generalized Gompertz distribution is introduced. Its hazard rate function can be constant, increasing, decreasing, upside-down bathtub or bathtub-shaped depending on its…

统计理论 · 数学 2019-04-23 Lazhar Benkhelifa

The Kaplan--Meier (KM) estimator, which provides a nonparametric estimate of a survival function for time-to-event data, has wide application in clinical studies, engineering, economics and other fields. The theoretical properties of the KM…

统计方法学 · 统计学 2020-11-23 Jiaqi Gu , Yiwei Fan , Guosheng Yin

In this paper, we introduce a new four-parameter generalized version of the Gompertz model which is called Beta-Gompertz (BG) distribution. It includes some well-known lifetime distributions such as beta-exponential and generalized Gompertz…

统计理论 · 数学 2014-07-04 Ali Akbar Jafari , Saeid Tahmasebi , Morad Alizadeh

We introduce in this paper a new four-parameter generalized version of the linear failure rate (LFR) distribution which is called Beta-linear failure rate (BLFR) distribution. The new distribution is quite flexible and can be used…

统计方法学 · 统计学 2012-12-27 Ali Akbar Jafari , Eisa Mahmoudi

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 five-parameter lifetime model with increasing, decreasing, upside -down bathtub and bathtub shaped failure rate called as the McDonald Gompertz (McG) distribution. This new distribution extend the Gompertz,…

统计方法学 · 统计学 2015-05-07 Rasool Roozegar , Saeid Tahmasebi , Ali Akbar Jafari
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