Odd Log-Logistic Rayleigh Distribution with Applications

Abstract

Sadiq Abubakar Ismaila and Bello Ibrahim Monday

In this article, a new extended Rayleigh distribution called the Odd Log-Logistic Rayleigh (OLLR) Distribution is developed. A two parameter distribution derived by incorporating the Rayleigh distribution in the Odd Log-Logistic – Generalized (OLL-G) family of distributions introduced by Gleaton and Lynch (2006). Various statistical properties of the proposed distribution are derived. The flexibility of the OLLR distribution is assessed using two real-life datasets. Results show that the OLLR provides a superior fit relative to its competitors across both datasets indicating it is a competitive and flexible alternative for lifetime data modelling.

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