2023•Ibn AL- Haitham Journal For Pure and Applied ScienceOpen access

A Class of Exponential Rayleigh Distribution and New Modified Weighted Exponential Rayleigh Distribution with Statistical Properties

Lamyaa Khalid Hussein, Huda A. Rasheed, Iden Hasan Hussein

Abstract

This paper deals with the mathematical method for extracting the Exponential Rayleighh distribution based on mixed between the cumulative distribution function of Exponential distribution and the cumulative distribution function of Rayleigh distribution using an application (maximum), as well as derived different statistical properties for distribution, and present a structure of a new distribution based on a modified weighted version of Azzalini’s (1985) named Modified Weighted Exponential Rayleigh distribution such that this new distribution is generalization of the distribution and provide some special models of the distribution, as well as derived different statistical properties for distribution

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Key concepts: Distribution fitting, Natural exponential family, Rayleigh distribution, Mathematics, Exponential distribution, Inverse-chi-squared distribution, Ratio distribution, Exponential function