Estimation of Pianka Overlapping Coefficient for Two Exponential Distributions

Suad Alhihi and Maalee Almheidat ()
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Suad Alhihi: Department of Mathematics, Al-Balqa Applied University, Alsalt 19117, Jordan
Maalee Almheidat: Department of Mathematics, University of Petra, Amman 11196, Jordan

Mathematics, 2023, vol. 11, issue 19, 1-14

Abstract: Overlapping coefficients (OVL) are commonly used to estimate the similarity between populations in terms of their density functions. In this paper, we consider Pianka’s overlap coefficient for two exponential populations. The methods for statistical inference of Pianka’s coefficient are presented. The bias and mean square error (MSE) of the maximum likelihood estimator (MLE) and the Bayes estimator of Pianka’s overlap coefficient are investigated by simulation. Confidence intervals for Pianka’s overlap measure are constructed.

Keywords: overlapping measure; maximum likelihood estimator; limiting distribution; posterior distribution; Bayes estimator; multivariate delta method; exponential distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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