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A new five-parameter continuous distribution which generalizes the Kumaraswamy and the beta distributions as well as some other well-known distributions is proposed and studied. The model has as special cases new four- and three-parameter…

统计方法学 · 统计学 2010-04-07 Jalmar M. F. Carrasco , Silvia L. P. Ferrari , Gauss M. Cordeiro

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

The Kumaraswamy distribution has been proposed as an alternative to the beta distribution with more benign algebraic properties. They have the same two parameters, the same support and qualitatively similar shape for any parameter values.…

统计理论 · 数学 2011-06-21 Baltasar Trancón y Widemann

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

We introduce the beta generalized exponential distribution that includes the beta exponential and generalized exponential distributions as special cases. We provide a comprehensive mathematical treatment of this distribution. We derive the…

统计方法学 · 统计学 2010-08-17 Wagner Barreto-Souza , Alessandro H. S. Santos , Gauss M. Cordeiro

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…

统计方法学 · 统计学 2022-04-05 Bowen Liu , Malwane M. A. Ananda

In this paper, we introduce and study the size-biased form of Kumaraswamy distribution. The Kumaraswamy distribution which has drawn considerable attention in hydrology and related areas was proposed by Kumarswamy. The new distribution is…

统计方法学 · 统计学 2016-09-30 Dreamlee Sharma , Tapan Kumar Chakrabarty

Nowadays, beta and Kumaraswamy distributions are the most popular models to fit continuous bounded data. These models present some characteristics in common and to select one of them in a practical situation can be of great interest. With…

统计方法学 · 统计学 2014-06-10 Rodrigo B. Silva , Wagner Barreto-Souza

A new generalization of the family of Kumaraswamy-G (Cordeiro and de Castro, 2011) distribution that includes three recently proposed families namely the Garhy generated family (Elgarhy et al., 2016), Beta-Dagum and Beta-Singh-Maddala…

统计理论 · 数学 2016-08-23 Laba Handique , Subrata Chakraborty

During the recent years there was an increased interest in studying the performance of different types of control charts, under various distributional models for continuous proportions, such as percentages and rates. In this work we…

统计方法学 · 统计学 2025-02-05 Athanasios C. Rakitzis

We study a well-known problem concerning a random variable $Z$ uniformly distributed between two independent random variables. Two different extensions, conditionally directed power distribution and conditionally undirected power…

统计理论 · 数学 2012-06-12 H. Homei

The beta distribution is a basic distribution serving several purposes. It is used to model data, and also, as a more flexible version of the uniform distribution, it serves as a prior distribution for a binomial probability. The bivariate…

统计方法学 · 统计学 2014-09-17 Ingram Olkin , Thomas A. Trikalinos

Probability distributions defined on the unit interval are widely used in fields ranging from econometrics to reliability studies. Traditional models such as the beta and Kumaraswamy distributions are well-established due to their…

统计方法学 · 统计学 2026-03-04 Roberto Vila , Helton Saulo , Poliana Matos , Subhankar Dutta

The unit-Lindley distribution was recently introduced in the literature as a viable alternative to the Beta and the Kumaraswamy distributions with support in (0; 1). This distribution enjoys many virtuous properties over the named…

统计方法学 · 统计学 2019-08-05 Aniket Biswas , Subrata Chakraborty

In this paper we introduce a new probability distribution on (0,1), associated with the I-function, namely, the I-function distribution. This distribution generalizes several known distributions with positive support. It is also shown that…

概率论 · 数学 2015-03-09 P. Vellaisamy , K. K. Kataria

In this paper, we introduce the BMT distribution as an unimodal alternative to continuous univariate distributions supported on a bounded interval. The ideas behind the mathematical formulation of this new distribution come from computer…

统计理论 · 数学 2017-09-19 Camilo Jose Torres-Jimenez , Alvaro Mauricio Montenegro-Diaz

A new discrete distribution has been proposed as a discrete analogue of the two sided power distribution [Van Drop, J. R. and Kotz, S. (2002a). A novel extension of the triangular distribution and its parameter estimation, Journal of the…

统计理论 · 数学 2015-01-27 Subrata Chakraborty , Dhrubajyoti Chakravarty

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 fitting a continuous bounded data, the generalized beta (and several variants of this distribution) and the two-parameter Kumaraswamy (KW) distributions are the two most prominent univariate continuous distributions that come to our…

统计方法学 · 统计学 2024-01-03 Indranil Ghosh

We propose a new approach for estimating the parameters of a probability distribution. It consists on combining two new methods of estimation. The first is based on the definition of a new distance measuring the difference between…

统计方法学 · 统计学 2008-12-30 Ahmed Guellil , Tewfik Kernane
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