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Estimation of Pianka Overlapping Coefficient for Two Exponential Distributions

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  • Suad Alhihi

    (Department of Mathematics, Al-Balqa Applied University, Alsalt 19117, Jordan
    These authors contributed equally to this work.)

  • Maalee Almheidat

    (Department of Mathematics, University of Petra, Amman 11196, Jordan
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Suad Alhihi & Maalee Almheidat, 2023. "Estimation of Pianka Overlapping Coefficient for Two Exponential Distributions," Mathematics, MDPI, vol. 11(19), pages 1-14, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4152-:d:1252699
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    References listed on IDEAS

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    1. Branko Milanovic & Shlomo Yitzhak, 2006. "Decomposing World Income Distribution: Does The World Have A Middle Class?," IBT Journal of Business Studies (JBS), Ilma University, Faculty of Management Science, vol. 2(2), pages 88-110.
    2. Anderson, Gordon, 2004. "Toward an empirical analysis of polarization," Journal of Econometrics, Elsevier, vol. 122(1), pages 1-26, September.
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