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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 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

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

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

Let $\{X_{1},\ldots,X_{N_1}\}$ and $\{Y_{1},\ldots,Y_{N_2}\}$ be two sequences of interdependent heterogeneous samples, where for $i=1,\ldots,N_{1},$ $X_{i}\sim \text{Kw-G}(x, \alpha_{i}, \gamma_{i};G)$ and for $i=1,\ldots,N_{2},$…

统计理论 · 数学 2025-08-21 Sangita Das , Narayanaswamy Balakrishnan

Generalized linear mixed models (GLMM) encompass large class of statistical models, with a vast range of applications areas. GLMM extends the linear mixed models allowing for different types of response variable. Three most common data…

应用统计 · 统计学 2017-04-25 Wagner Hugo Bonat , Paulo Justiniano Ribeiro , Silvia emiko Shimakura

The beta distribution is the best-known distribution for modelling doubly-bounded data, \eg percentage data or probabilities. A new generalization of the beta distribution is proposed, which uses a cubic transformation of the beta random…

统计方法学 · 统计学 2016-12-19 Rose Baker

We propose a two-parameter bounded probability distribution called the extended power distribution. This distribution on $(0, 1)$ is similar to the beta distribution, however there are some advantages which we explore. We define the moments…

统计方法学 · 统计学 2017-11-09 Chibueze E. Ogbonnaya , Simon P. Preston , Andrew T. A. Wood

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

In this paper we introduce the so-called Generalized Naive Bayes structure as an extension of the Naive Bayes structure. We give a new greedy algorithm that finds a good fitting Generalized Naive Bayes (GNB) probability distribution. We…

机器学习 · 统计学 2024-08-29 Edith Alice Kovács , Anna Ország , Dániel Pfeifer , András Benczúr

This work provides a survey of the general class of distributions generated from the mixture of the beta random variables. We provide an extensive review of the literature, concerning generating new distributions via the inverse CDF…

统计方法学 · 统计学 2020-05-12 Palash Sharma

The mathematical properties of a family of generalized beta distribution, including beta-normal, skewed-t, log-F, beta-exponential, beta-Weibull distributions have recently been studied in several publications. This paper applies these…

统计方法学 · 统计学 2007-10-26 J. H. Sepanski , Lingji Kong

In the typical analysis of a data set, a single method is selected for statistical reporting even when equally applicable methods yield very different results. Examples of equally applicable methods can correspond to those of different…

统计方法学 · 统计学 2012-10-30 David R. Bickel

Traditional statistical approaches for estimating the parameters of the Kumaraswamy distribution have dealt with precise information. However, in real world situations, some information about an underlying experimental process might be…

统计方法学 · 统计学 2017-11-02 Indranil Ghosh

The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and…

统计方法学 · 统计学 2018-09-18 Andrey K. Gorshenin , Victor Yu. Korolev

Another new family of continuous probability distribution is proposed by using Generalized Marshal-Olkin distribution as the base line distribution in the Kumaraswamy-G distribution. This family includes (Cordeiro and de Castro, 2011) and…

统计理论 · 数学 2016-09-16 Laba Handique , Subrata Chakraborty

In both Tweedie and geometric Tweedie models, the common power parameter $p\notin(0,1)$ works as an automatic distribution selection. It mainly separates two subclasses of semicontinuous ($1<p<2$) and positive continuous ($p\geq 2$)…

统计方法学 · 统计学 2020-01-30 Rahma Abid , Célestin C. Kokonendji

We propose a shrinkage procedure for simultaneous variable selection and estimation in generalized linear models (GLMs) with an explicit predictive motivation. The procedure estimates the coefficients by minimizing the Kullback-Leibler…

统计方法学 · 统计学 2010-09-14 Minh-Ngoc Tran , David Nott , Chenlei Leng

We derive a closed form solution for the Kullback-Leibler divergence between two generalized gamma distributions. These notes are meant as a reference and provide a guided tour towards a result of practical interest that is rarely…

信息论 · 计算机科学 2014-01-28 Christian Bauckhage

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
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