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Related papers: Generalized Gompertz-power series distributions

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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,…

Methodology · Statistics 2015-05-07 Rasool Roozegar , Saeid Tahmasebi , 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,…

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

Several probability distributions have been proposed in the literature, especially with the aim of obtaining models that are more flexible relative to the behaviors of the density and hazard rate functions. Recently, a new generalization of…

Computation · Statistics 2016-04-26 K. V. P. Barco , J. Mazucheli , V. Janeiro

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

In this paper, we propose a new class of distributions by exponentiating the random variables associated with the probability density functions of composite distributions. We also derive some mathematical properties of this new class of…

Methodology · Statistics 2022-04-05 Bowen Liu , Malwane M. A. Ananda

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

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.…

Applications · Statistics 2015-08-06 Rasool Roozegar , Ali Akbar Jafari

In this paper we study a wide and flexible family of discrete distributions, the so-called generalized negative binomial (GNB) distributions that are mixed Poisson distributions in which the mixing laws belong to the class of generalized…

Probability · Mathematics 2018-06-26 V. Yu. Korolev , A. I. Zeifman

A new family of distribution is proposed by using Kumaraswamy-G (Cordeiro and de Castro, 2011) distribution as the base line distribution in the Generalized Marshal-Olkin (Jayakumar and Mathew, 2008) Construction. A number of special cases…

Statistics Theory · Mathematics 2016-08-23 Laba Handique , Subrata Chakraborty

The two-parameter distribution known as exponential-Poisson (EP) distribution, which has decreasing failure rate, was introduced by Kus (2007). In this paper we generalize the EP distribution and show that the failure rate of the new…

Methodology · Statistics 2010-08-17 Wagner Barreto-Souza , Francisco Cribari-Neto

From the integration of non-symmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function. We show that functions characterizing…

Data Analysis, Statistics and Probability · Physics 2010-10-19 Alexandre Souto Martinez , Rodrigo Silva Gonzalez , Cesar Augusto Sangaletti Tercariol

Power-law type distributions are extensively found when studying the behaviour of many complex systems. However, due to limitations in data acquisition, empirical datasets often only cover a narrow range of observation, making it difficult…

Data Analysis, Statistics and Probability · Physics 2019-12-11 Víctor Navas-Portella , Álvaro González , Isabel Serra , Eduard Vives , Álvaro Corral

This paper presents a new methodology for generating continuous statistical distributions, integrating the exponentiated odds ratio within the framework of survival analysis. This new method enhances the flexibility and adaptability of…

Statistics Theory · Mathematics 2024-02-28 Xinyu Chen , Yuanqi Xie , Achraf Cohen , Shusen Pu

In this paper we extend the Weibull power series (WPS) class of distributions and named this new class as extended Weibull power series (EWPS) class of distributions. The EWPS distributions are related to series and parallel systems with a…

Methodology · Statistics 2014-08-01 Alice L. Morais , Silvia L. P. Ferrari

A new generalization of the family of Poisson-G is called beta Poisson-G family of distribution. Useful expansions of the probability density function and the cumulative distribution function of the proposed family are derived and seen as…

Statistics Theory · Mathematics 2020-05-22 Laba Handique , Subrata Chakraborty , Farrukh Jamal

In continuation of our earlier work, in which we analysed the charged particle multiplicities in leptonic and hadronic interactions at different center of mass energies in full phase space as well as in restricted phase space with the…

High Energy Physics - Phenomenology · Physics 2019-09-12 Aayushi Singla , M. Kaur

In this paper we introduce a new lifetime distribution by compounding exponential and Poisson-Lindley distributions, named exponential Poisson-Lindley distribution. Several properties are derived, such as density, failure rate, mean…

Methodology · Statistics 2013-02-20 Wagner Barreto-Souza , Hassan S. Bakouch

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…

Methodology · Statistics 2025-09-30 Lazhar Benkhelifa

Four new probability models are derived which generalize the common univariate continuous distributions. Classical distributional measures are derived from Hoel, et al., Introduction to Probability Theory, 1971. Measures include probability…

General Mathematics · Mathematics 2014-05-09 Francis J. O'Brien

Exponential distributions appear in a wide range of applications including chemistry, nuclear physics, time series analyses, and stock market trends. There are conceivable circumstances in which one would be interested in the cumulative…

History and Overview · Mathematics 2018-03-23 Cecilia Chirenti , M. Coleman Miller