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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

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

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

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

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

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

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

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

Empirical likelihood is a popular nonparametric statistical tool that does not require any distributional assumptions. In this paper, we explore the possibility of conducting variable selection via Bayesian empirical likelihood. We show…

统计方法学 · 统计学 2022-06-13 Yichen Cheng , Yichuan Zhao

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

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 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

Capturing aleatoric uncertainty is a critical part of many machine learning systems. In deep learning, a common approach to this end is to train a neural network to estimate the parameters of a heteroscedastic Gaussian distribution by…

机器学习 · 计算机科学 2022-04-04 Maximilian Seitzer , Arash Tavakoli , Dimitrije Antic , Georg Martius

This paper compares three approaches to the problem of selecting among probability models to fit data (1) use of statistical criteria such as Akaike's information criterion and Schwarz's "Bayesian information criterion," (2) maximization of…

统计方法学 · 统计学 2016-11-04 William B. Poland , Ross D. Shachter

In this paper, an alpha-beta-skew-logistic distribution is proposed following the same methodology as those of alpha-beta-skew-normal of Shafiei et al. (2016) and investigated some of its related distributional properties. Finally, the…

统计理论 · 数学 2019-10-29 Sricharan Shah , Partha Jyoti Hazarika

In statistics, there are a variety of methods for performing model selection that all stem from slightly different paradigms of statistical inference. The reasons for choosing one particular method over another seem to be based entirely on…

统计理论 · 数学 2019-01-29 Danica M. Ommen , Christopher P. Saunders

We investigate the discrimination of two candidates of an unknown parameter in quantum systems with continuous weak measurement, inspired by the application of hypothesis testing in distinguish-ing two Hamiltonians [Kiilerich and M{\o}lmer,…

量子物理 · 物理学 2019-07-24 Beili Gong , Wei Cui

The stochastic block model (SBM) provides a popular framework for modeling community structures in networks. However, more attention has been devoted to problems concerning estimating the latent node labels and the model parameters than the…

统计理论 · 数学 2016-03-02 Y. X. Rachel Wang , Peter J. Bickel

In this paper we have introduced a generalized version of alpha beta skew normal distribution in the same line of Sharafi et al. (2017) and investigated some of its basic properties. The extensions of the proposed distribution have also…

统计理论 · 数学 2019-10-22 Sricharan Shah , Subrata Chakraborty , Partha Jyoti Hazarika , M. Masoom Ali

Heckman selection model is the most popular econometric model in analysis of data with sample selection. However, selection models with Normal errors cannot accommodate heavy tails in the error distribution. Recently, Marchenko and Genton…

统计计算 · 统计学 2014-01-08 Peng Ding
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