Transmuted Kumaraswamy Weibull Distribution with Covariates Regression Modelling to Analyze Reliability Data

• Main Authors: Muhammad Shuaib Khan, Robert King, Irene Lena Hudson
• Format: Article
• Language: English
• Published: Atlantis Press 2020-10-01
• Series: Journal of Statistical Theory and Applications (JSTA)
• Subjects: Log-Kumaraswamy Weibull regression model; Moments; Maximum likelihood estimation
• Online Access: https://www.atlantis-press.com/article/125945492/view
• ISSN: 2214-1766

This paper investigates the potential usefulness of the transmuted Kumaraswamy Weibull distribution by using quadratic rank transmutation map technique for modelling reliability data. Some structural properties of the transmuted Kumaraswamy Weibull distribution are discussed. We propose a location-scale regression model based on the transmuted log-Kumaraswamy Weibull distribution for modelling survival data. We discuss estimation of the model parameters by the method of maximum likelihood and provide two applications to illustrate the potentiality of the proposed family of lifetime distributions.