New Closed Form Estimators for the Beta Distribution

被引：3

作者：

Nawa, Victor Mooto ^{[1
]}

Nadarajah, Saralees ^{[2
]}

机构：

[1] Univ Zambia, Dept Math & Stat, Lusaka 10101, Zambia

[2] Univ Manchester, Dept Math, Manchester M13 9PL, England

来源：

MATHEMATICS | 2023年 / 11卷 / 13期

关键词：

covariance; digamma function; trigamma function; variance; GAMMA;

D O I：

10.3390/math11132799

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we detail closed form estimators for beta distribution that are simpler than those proposed by Tamae, Irie and Kubokawa. The proposed estimators are shown to have smaller asymptotic variances and smaller asymptotic covariances compared to Tamae estimators and maximum likelihood estimators. The proposed estimators are also shown to perform better in real data applications.

引用

页数：20

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