Bayesian estimation of the number of species from Poisson-Lindley stochastic abundance model using non-informative priors

被引：0

作者：

Pathak, Anurag ^{[1
]}

Kumar, Manoj ^{[1
,2
]}

Singh, Sanjay Kumar ^{[3
]}

Singh, Umesh ^{[3
]}

Kumar, Sandeep ^{[1
,4
]}

机构：

[1] Cent Univ Haryana, Dept Stat, Mahendragarh 123031, Haryana, India

[2] Univ Delhi, Dept Stat, Delhi 110007, India

[3] Banaras Hindu Univ, Dept Stat, Varanasi 221005, Uttar Pradesh, India

[4] GLA Univ, Dept Math Appl Sci & Humanities, Mathura 281406, Uttar Pradesh, India

来源：

COMPUTATIONAL STATISTICS | 2024年

关键词：

Jeffrey's prior; Bernardo's reference prior; Abundance species estimation; Bayesian method; SAMPLE; DISTRIBUTIONS; SIZE;

D O I：

10.1007/s00180-024-01464-7

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this article, we propose a Poisson-Lindley distribution as a stochastic abundance model in which the sample is according to the independent Poisson process. Jeffery's and Bernardo's reference priors have been obtaining and proposed the Bayes estimators of the number of species for this model. The proposed Bayes estimators have been compared with the corresponding profile and conditional maximum likelihood estimators for their square root of the risks under squared error loss function (SELF). Jeffery's and Bernardo's reference priors have been considered and compared with the Bayesian approach based on biological data.

引用

页数：26

共 20 条

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