A Review of the Rayleigh Distribution: Properties, Estimation & Application to COVID-19 Data

被引：5
作者：
Anis, M. Z. [1 ]
Okorie, I. E. [2 ]
Ahsanullah, M. [3 ]
机构：
[1] Indian Stat Inst, SQC & Unit, 203 BT Rd, Kolkata 700108, India
[2] Khalifa Univ, Dept Math, POB 127788, Abu Dhabi, U Arab Emirates
[3] Rider Univ, Lawrenceville, NJ USA
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2024年 / 47卷 / 01期
关键词：
Estimation methods; Moments; Reliability functions; Statistical properties; STATISTICAL-ANALYSIS; ORDER-STATISTICS; PARAMETER; WEIBULL; MODELS;
D O I：
10.1007/s40840-023-01605-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the different properties of the Rayleigh distribution. These include the descriptive properties, reliability properties and stochastic orders. Next, we consider seven different estimation methods for estimating the parameter, namely: maximum likelihood estimation, matching moments estimation, maximum product of spacing estimation, ordinary least squares estimation, Cramer-von Mises estimation, Anderson-Darling estimation and right-tail Anderson-Darling estimation. A simulation study is done to assess the performance of these methods of estimation and the results shows that all the estimators are mostly efficient and consistent. Finally, using the method of maximum likelihood estimation, we demonstrate the applicability of the Rayleigh distribution by modelling the Netherlands's COVID-19 mortality rate data as an example.
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页数：35
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