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Topp-Leone compound Rayleigh distribution: properties and applications

Author Affiliations

  • 1Punjab College Hasilpur, Pakistan

Res. J. Mathematical & Statistical Sci., Volume 7, Issue (3), Pages 51-58, September,12 (2019)

Abstract

In this research, we introduce an extension form of compound Rayleigh distribution called Topp-Leone compound Rayleigh distribution; we also investigate its basic and important properties in which mean, variance, expression of coefficient of variation, rth moments, incomplete moments, skewness, Moors kurtosis, reliability properties, inequality measures, probability weighted moments, Reny entropy are include. We obtain the maximum likelihood estimates for the parameters of proposed distribution. In the end three applications with real data sets are presented and notice that new model is better than its baseline distribution.

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