Development of Exponentiated Cosine Topp-Leone Generalized Family of Distributions and its Applications to Lifetime Data
Abdulhameed Ado Osi,
Sani Ibrahim Doguwa,
Yahaya Abubakar
et al.
Abstract:The Topp-Leone distribution is widely used for modeling lifetime data across many disciplines. This paper presents the Exponentiated Cosine Topp-Leone Generalized family (ExCTLG), which is an extension of the Topp-Leone family. The research examines the mathematical properties of the ExCTLG, including the survival and hazard functions, moments, moment-generating functions, and Renyi’s entropy. Parameter estimation is carried out using the maximum likelihood estimation (MLE) techniques, and the estimated parame… Show more
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