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

Anurag Pathak (), Manoj Kumar (), Sanjay Kumar Singh (), Umesh Singh () and Sandeep Kumar ()
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Anurag Pathak: Central University of Haryana
Manoj Kumar: Central University of Haryana
Sanjay Kumar Singh: Banaras Hindu University
Umesh Singh: Banaras Hindu University
Sandeep Kumar: Central University of Haryana

Computational Statistics, 2024, vol. 39, issue 7, No 18, 3906 pages

Abstract: Abstract 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.

Keywords: Jeffrey’s prior; Bernardo’s reference prior; Abundance species estimation; Bayesian method (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00180-024-01464-7

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