THE ALPHA POWER RAYLEIGH-G FAMILY OF DISTRIBUTIONS

被引：3

作者：

Agu, Friday Ikechukwu ^{[1
]}

Eghwerido, Joseph Thomas ^{[2
]}

Nziku, Cosmas Kaitani ^{[3
]}

机构：

[1] Univ Calabar, Dept Stat, Calabar, Cross River Sta, Nigeria

[2] Fed Univ Petr Resources, Dept Stat, Effurun, Delta State, Nigeria

[3] Univ Dar es Salam, Dept Stat, Dar Es Salaam, Tanzania

来源：

MATHEMATICA SLOVACA | 2022年 / 72卷 / 04期

关键词：

Bivariate extensions; bivariate quantile; linear representation; quantile function; order statistics; kurtosis and skewness; EXPONENTIAL-DISTRIBUTION PROPERTIES; PARAMETER;

D O I：

10.1515/ms-2022-0073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces a two-parameters generator of continuous statistical probability distributions called the Alpha Power Rayleigh-G (APRAY-G) family, some statistical properties of the family of distributions were derived, and we introduced a two-submodels of the generator. We estimate the parameters of the models based on the method of maximum likelihood estimation and explored simulation studies based on the introduced submodels. We observed that the biasedness and root mean square errors decrease as the sample size becomes large. We examined the applications of the models based on real-life data sets. We compared the obtained results with some existing probability distribution models. The results showed that the proposed models gave a better fitness to the data under investigation. (C) 2022 Mathematical Institute Slovak Academy of Sciences

引用

页码：1047 / 1062

页数：16

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