Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case

Hamza Dhaker; Papa Ngom; Boubakari Ibrahimou; Malick Mbodji

doi:10.20944/preprints201811.0197.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 7 November 2018 / Approved: 8 November 2018 / Online: 8 November 2018 (10:07:22 CET)

Overlap coefficient (OVL) represents the proportion of overlap between two probability distributions, as a measure of the similarity between them. In this paper, we define a new overlap coefficient Λ based on KullbackLeibler divergence and compare its performance to three known overlap coefficients, namely Matusia’s Measure ρ, Morisita’s Measure λ, Weitzman’s Measure δ. We study their properties, relations between them, and give approximate expressions for the biases and the variances.

KullbackLeibler;OverlapCoefficients;NormalDensity.

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Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case

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