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Azzalini (1985) introduced a skew-normal distribution of which normal distribution is a special case. Recently Kundu (2014) introduced a geometric skew-normal distribution and showed that it has certain advantages over Azzalini's…

统计方法学 · 统计学 2017-06-26 Debasis Kundu

Skewed generalizations of the normal distribution have been a topic of great interest in the statistics community due to their diverse applications across several domains. One of the most popular skew normal distributions, due to its…

统计方法学 · 统计学 2023-01-05 Narayan Srinivasan

Several generalizations of the logistic distribution, and certain related models, are proposed by many authors for modeling various random phenomena such as those encountered in data engineering, pattern recognition, and reliability…

统计理论 · 数学 2019-03-19 Seema S Nair , Nicy Sebastian

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…

统计计算 · 统计学 2012-04-20 Hojjatollah Zakerzadeh , Eisa Mahmoudi

Many generalised distributions exist for modelling data with vastly diverse characteristics. However, very few of these generalisations of the normal distribution have shape parameters with clear roles that determine, for instance, skewness…

统计方法学 · 统计学 2023-12-01 Andriette Bekker , Matthias Wagener , Muhammad Arashi

The aim of this paper is to extend Azzalini's method. This extension is done in two stages: consider two dependent and non-identically distributed random variables say $X_1$ and $X_2$; model the dependence between $X_1$ and $X_2$ by a…

统计理论 · 数学 2018-03-06 Filippo Domma , Božidar V. Popović , Saralees Nadarajah

A new two-parameter discrete distribution, namely the PoiG distribution is derived by the convolution of a Poisson variate and an independently distributed geometric random variable. This distribution generalizes both the Poisson and…

统计方法学 · 统计学 2024-07-11 Anupama Nandi , Subrata Chakraborty , Aniket Biswas

Laplace distribution is popular in the field of economics and finance. Still, data sets often show a lack of symmetry and a tendency of being bounded from either side of their support. In view of this, we introduce a new family of skew…

统计理论 · 数学 2024-06-18 Raju. K. Lohot , V. U. Dixit

Sine-skewed circular distributions are identifiable and have easily-computable trigonometric moments and a simple random number generation algorithm, whereas they are known to have relatively low levels of asymmetry. This study proposes a…

统计方法学 · 统计学 2024-02-16 Yoichi Miyata , Takayuki Shiohama , Toshihiro Abe

In this paper, an alternative Discrete skew Logistic distribution is proposed, which is derived by using the general approach of discretizing a continuous distribution while retaining its survival function. The properties of the…

统计方法学 · 统计学 2016-04-07 Deepesh Bhati , Subrata Chakraborty , Snober Gowhar Lateef

Azzalini & Dalla Valle (1996) have recently discussed the multivariate skew-normal distribution which extends the class of normal distributions by the addition of a shape parameter. The first part of the present paper examines further…

统计方法学 · 统计学 2009-11-12 Adelchi Azzalini , Antonella Capitanio

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 gompertz distribution, We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of…

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

The shortcomings of the traditional univariate distributions in the past greatly encouraged mathematical statisticians to develop new generalizations of distributions. The New Generalized Fisk distribution, a unique distribution presented…

统计方法学 · 统计学 2025-04-22 Veeranna Banoth

In this paper, we introduce a new generalization of geometric distribution which can also viewed as discrete analogue of weighted exponential distribution introduced by Gupta and Kundu(2009). We study some basic distributional properties…

统计方法学 · 统计学 2016-02-08 Deepesh Bhati , Savitri Joshi

This article aims to introduced a new distribution named as extended xgamma (EXg) distribution. This generalization is derived from xgamma distribution (Xg), a special finite mixture of exponential and gamma distributions [see, Sen et al.…

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,…

统计理论 · 数学 2016-07-20 P. L. Ramos , F. Louzada

A novel over-dispersed discrete distribution, namely the PoiTG distribution is derived by the convolution of a Poisson variate and an independently distributed transmuted geometric random variable. This distribution generalizes the…

统计理论 · 数学 2024-08-02 Anupama Nandi , Subrata Chakraborty , Aniket Biswas

In this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments,…

应用统计 · 统计学 2016-11-25 Deepesh Bhati , Mohd. Aamir Malik

In this paper we propose a family of multivariate asymmetric distributions over an arbitrary subset of set of real numbers which is defined in terms of the well-known elliptically symmetric distributions. We explore essential properties,…

统计方法学 · 统计学 2024-09-02 Roberto Vila , Helton Saulo , Leonardo Santos , João Monteiros , Felipe Quintino
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