Closed-form estimators for the inverse Nakagami distribution.

IF 1.1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Anais da Academia Brasileira de Ciencias Pub Date : 2025-03-24 eCollection Date: 2025-01-01 DOI:10.1590/0001-3765202520240838

Victor Nawa, Saralees Nadarajah

引用次数: 0

Abstract

The inverse Nakagami distribution due to Louzada et al. (2018) does not have closed-form maximum likelihood estimators. Closed-form estimators by adapting the method of moments are proposed in this note. Also proposed is a bias corrected version of the estimators. Large sample properties including asymptotic variances of the proposed estimators are derived. A simulation study and data applications are provided to compare the performances of the maximum likelihood estimators, the proposed estimators and their bias corrected versions.

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逆Nakagami分布的闭型估计量。

由Louzada等人（2018）得出的逆Nakagami分布没有封闭形式的最大似然估计量。本文提出了采用矩量法的闭型估计量。还提出了一种偏差修正版本的估计器。得到了包含渐近方差的大样本性质。通过仿真研究和数据应用，比较了最大似然估计器、所提估计器及其偏差修正版本的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Anais da Academia Brasileira de Ciencias 综合性期刊-综合性期刊

CiteScore

2.20

自引率

0.00%

发文量

347

审稿时长

1 months

期刊介绍： The Brazilian Academy of Sciences (BAS) publishes its journal, Annals of the Brazilian Academy of Sciences (AABC, in its Brazilianportuguese acronym ), every 3 months, being the oldest journal in Brazil with conkinuous distribukion, daking back to 1929. This scienkihic journal aims to publish the advances in scienkihic research from both Brazilian and foreigner scienkists, who work in the main research centers in the whole world, always looking for excellence. Essenkially a mulkidisciplinary journal, the AABC cover, with both reviews and original researches, the diverse areas represented in the Academy, such as Biology, Physics, Biomedical Sciences, Chemistry, Agrarian Sciences, Engineering, Mathemakics, Social, Health and Earth Sciences.