Version 1
: Received: 7 November 2018 / Approved: 8 November 2018 / Online: 8 November 2018 (10:07:22 CET)
How to cite:
Dhaker, H.; Ngom, P.; Ibrahimou, B.; Mbodji, M. Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case. Preprints2018, 2018110197. https://doi.org/10.20944/preprints201811.0197.v1
Dhaker, H.; Ngom, P.; Ibrahimou, B.; Mbodji, M. Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case. Preprints 2018, 2018110197. https://doi.org/10.20944/preprints201811.0197.v1
Dhaker, H.; Ngom, P.; Ibrahimou, B.; Mbodji, M. Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case. Preprints2018, 2018110197. https://doi.org/10.20944/preprints201811.0197.v1
APA Style
Dhaker, H., Ngom, P., Ibrahimou, B., & Mbodji, M. (2018). Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case. Preprints. https://doi.org/10.20944/preprints201811.0197.v1
Chicago/Turabian Style
Dhaker, H., Boubakari Ibrahimou and Malick Mbodji. 2018 "Overlap Coefficients Based on Kullback-Leibler of Two Normal Densities: Equal Means Case" Preprints. https://doi.org/10.20944/preprints201811.0197.v1
Abstract
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.
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
