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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

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,…

统计方法学 · 统计学 2022-06-03 G. M. Cordeiro , R. J. Cintra , L. C. Rêgo

The Tsallis distribution has been used widely in high energy physics to describe the transverse momnetum distributions of particles. In this note we show that the use of a thermodynamically consistent form of this distribution leads to a…

高能物理 - 唯象学 · 物理学 2012-10-30 J. Cleymans

The purpose of this paper is to continue studying the properties of $\gamma$-regular open sets introduced and explored in [6]. The concept of $\gamma$-closed spaces have also been defined and discussed.

一般拓扑 · 数学 2013-11-19 Sabir Hussain

A new three-parameter cumulative distribution function defined on $(\alpha,\infty)$, for some $\alpha\geq0$, with asymmetric probability density function and showing exponential decays at its both tails, is introduced. The new distribution…

统计理论 · 数学 2017-03-28 Meitner Cadena

In this paper we propose a Farlie-Gumbel-Morgenstern (FGM) family of bivariate linear exponential distributions generated from given marginal's. Therefore, properties of FGM are analogous to properties of bivariate distributions. We study…

统计方法学 · 统计学 2015-01-23 M. A. El-Damcese , Dina. A. Ramadan

A new unimodal distribution family indexed by the mode and three other parameters is derived from a mixture of a Gumbel distribution for the maximum and a Gumbel distribution for the minimum. Properties of the proposed distribution are…

统计方法学 · 统计学 2024-07-02 Qingyang Liu , Xianzheng Huang , Haiming Zhou

The mollified uniform distribution is rediscovered, which constitutes a ``soft'' version of the continuous uniform distribution. Important stochastic properties are presented and used to demonstrate potential fields of applications. For…

统计方法学 · 统计学 2024-12-02 Christian H. Weiß

Physical and mathematical applications of fractional Poisson probability distribution have been presented. As a physical application, a new family of quantum coherent states has been introduced and studied. As mathematical applications, we…

数学物理 · 物理学 2015-05-13 Nick Laskin

In this paper introduces a new family of continuous distributions namely the Poison transmuted-G family of distribution is proposed by inducing two addition parameter on the base line G distribution. Some of its mathematical properties…

统计理论 · 数学 2020-05-12 Laba Handique , Subrata Chakraborty

In this paper we introduce five different algorithms based on method of moments, maximum likelihood and full Bayesian estimation for learning the parameters of the Inverse Gamma distribution. We also provide an expression for the KL…

统计方法学 · 统计学 2016-07-11 A. Llera , C. F. Beckmann

The statistical properties of the multivariate Gamma-Gamma ($\Gamma \Gamma$) distribution with arbitrary correlation have remained unknown. In this paper, we provide analytical expressions for the joint probability density function (PDF),…

信息论 · 计算机科学 2016-11-18 Jiayi Zhang , Michail Matthaiou , George K. Karagiannidis , Linglong Dai

In this paper we introduce a new method to add a parameter to a family of distributions. The additional parameter is completely studied and a full description of its behaviour in the distribution is given. We obtain several mathematical…

统计方法学 · 统计学 2010-03-10 Wagner Barreto-Souza , Alexandre B. Simas

This article provides a general expression for infinitely divisible multivariate gamma distributions defined by their Laplace transforms, as well as the conditional Laplace transform of infinitely divisible multivariate gamma…

概率论 · 数学 2025-01-13 Philippe Bernardoff , Bénédicte Puig

A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study of differences of independently distributed random variables…

经典分析与常微分方程 · 数学 2009-11-11 A. M. Mathai , R. K. Saxena , H. J. Haubold

This paper presents likelihood-based inference methods for the family of univariate gamma-normal distributions GN({\alpha}, r, {\mu}, {\sigma}^2 ) that result from summing independent gamma({\alpha}, r) and N({\mu}, {\sigma}^2 ) random…

应用统计 · 统计学 2024-12-03 Massimiliano Bonamente , Dale Zimmerman

In Bayesian inference, an unknown measurement uncertainty is often quantified in terms of a Gamma distributed precision parameter, which is impractical when prior information on the standard deviation of the measurement uncertainty shall be…

统计方法学 · 统计学 2021-01-19 Manuel M. Eichenlaub

There are some real life issues that are exists in nature which has early failure. This type of problems can be modelled either by a complex distribution having more than one parameter or by finite mixture of some distribution. In this…

统计理论 · 数学 2024-08-30 Brijesh P. Singh , Utpal Dhar Das , Sandeep Singh

We study with some details a lifetime model of the class of beta generalized models, called the beta inverse Rayleigh distribution, which is a special case of the Beta Fr\'echet distribution. We provide a better foundation for some…

统计理论 · 数学 2022-06-06 J. Leão , H. Saulo , M. Bourguignon , R. J. Cintra , L. C. Rêgo , G. M. Cordeiro

Network latency distributions, their algebra, and use examples. This paper considers modeling of capacity-insensitive processes and distributed systems. It provides algebraic properties of the latency distribution algebra and Haskell code…

编程语言 · 计算机科学 2023-01-31 Michał J. Gajda