Truncated exponentiated-exponential distribution: A distribution for unit interval

被引：2

作者：

Ribeiro-Reis, Lucas David ^{[1
]}

机构：

[1] Univ Fed Pernambuco, Dept Stat, Av Prof Momes Rego,1235 Cidade Univ, BR-50670901 Recife, PE, Brazil

来源：

JOURNAL OF STATISTICS AND MANAGEMENT SYSTEMS | 2022年 / 25卷 / 08期

关键词：

Truncated exponentiated-exponential distribution; Random numbers; Moments; Monte Carlo simulation; Unit interval; Renyi entropy;

D O I：

10.1080/09720510.2022.2060613

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A new distribution for the unit interval is defined. This distribution can be inflated in 1's, thus being superior to the beta and Kumaraswamy distributions. Analytical expressions for the mode, quantile function, ordinary moments, incomplete moments and Renyi entropy are described. The generation of random numbers can be done easily. The estimation of the parameters is done by maximum likelihood. To validate the accuracy of the maximum likelihood estimator, Monte Carlo simulation studies are performed. Application to real data has shown that the new model is better than other well-known distributions.

引用

页码：2061 / 2072

页数：12

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