The Length-Biased Weibull-Rayleigh Distribution for Application to Hydrological Data

被引：6

作者：

Chaito, Tanachot ^{[1
]}

Khamkong, Manad ^{[2
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Stat, Ph Program Appl Stat, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Fac Sci, Data Sci Res Ctr, Dept Stat, Chiang Mai 50200, Thailand

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 13期

关键词：

length-biased; Weibull-Rayleigh distribution; maximum likelihood estimation; hydrological data; PROBABILITY MODEL;

D O I：

10.1134/S1995080222010218

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we introduce a new class of length-biased distribution, the length- biased Weibull-Rayleigh (LBWR) distribution, and provide its properties such as the limit behavior, survival function, hazard rate function, rth moment, and moment generating function. Moreover, maximum likelihood estimation is used in the parameter estimation. The LBWR distribution was fitted to two hydrological datasets and its efficacy compared with Rayleigh, Weibull, Pareto, and Weibull-Rayleigh distributions, the results of which show that the novel distribution provides a better fit than the others.

引用

页码：3253 / 3265

页数：13

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