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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…

Statistics Theory · Mathematics 2019-04-23 Lazhar Benkhelifa

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…

Statistics Theory · Mathematics 2014-07-04 Ali Akbar Jafari , Saeid Tahmasebi , Morad Alizadeh

This paper introduces a new four-parameter lifetime model called the Weibull Birnbaum-Saunders distribution. This new distribution represents a more flexible model for the lifetime data. Its failure rate function can be increasing,…

Applications · Statistics 2016-04-19 Lazhar Benkhelifa

A six parameter distribution so-called the McDonald modified Weibull distribution is defined and studied. The new distribution contains, as special submodels, several important distributions discussed in the literature, such as the beta…

Methodology · Statistics 2013-09-13 Faton Merovci , Ibrahim Elbatal

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…

Statistics Theory · Mathematics 2016-03-10 Mohammad Reza Kazemi , Ali Akbar Jafari , Saeid Tahmasebi

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…

Methodology · Statistics 2012-12-05 Marcelo B. Pereira , Rodrigo B. Silva , Luz M. Zea , Gauss M. Cordeiro

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…

Methodology · Statistics 2023-04-24 Tuhin Subhra Mahatao , Subhankar Dutta , Suchandan Kayal

A five-parameter distribution called the McDonald normal distribution is defined and studied. The new distribution contains, as special cases, several important distributions discussed in the literature, such as the normal, skew-normal,…

Methodology · Statistics 2022-06-03 G. M. Cordeiro , R. J. Cintra , L. C. Rêgo

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…

Methodology · Statistics 2026-02-26 Lazhar Benkhelifa

In this paper a new lifetime distribution which is obtained by compounding Lindley and geometric distributions, named Lindley-geometric (LG) distribution, is introduced. Several properties of the new distribution such as density, failure…

Computation · Statistics 2012-04-20 Hojjatollah Zakerzadeh , Eisa Mahmoudi

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…

Methodology · Statistics 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

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,…

Methodology · Statistics 2015-09-14 Ali Akbar Jafari , Saeid Tahmasebi

In a recent paper, Mazucheli et al. (2019) introduced the unit-Gompertz (UG) distribution and studied some of its properties. It is a continuous distribution with bounded support, and hence may be useful for modelling life-time phenomena.…

Statistics Theory · Mathematics 2020-06-12 M. Z. Anis , Debsurya De

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

In this paper, we proposed a new lifetime distribution namely generalized weighted Lindley (GLW) distribution. The GLW distribution is a useful generalization of the weighted Lindley distribution, which accommodates increasing, decreasing,…

Statistics Theory · Mathematics 2016-07-20 P. L. Ramos , F. Louzada

In this paper we propose a new lifetime model, called the odd generalized exponential gompertz distribution, We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of…

Statistics Theory · Mathematics 2015-10-28 M. A. El-Damcese , Abdelfattah Mustafa , B. S. El-Desouky , M. E. Mustafa

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,…

Statistics Theory · Mathematics 2016-06-24 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

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…

Applications · Statistics 2018-07-04 Abhimanyu Singh Yadav , Hassan S. Bakouch , Sanjay Kumar Singh , Umesh Singh

In this paper, a new three-parameter lifetime distribution is introduced and many of its standard properties are discussed. These include shape of the probability density function, hazard rate function and its shape, quantile function,…

Methodology · Statistics 2013-08-21 Min Wang

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…

Methodology · Statistics 2015-09-01 Saeid Tahmasebi , Ali Akbar Jafari
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