Transmuted Kumaraswamy Distribution

• Authors: Khan Muhammad Shuaib , King Robert , Hudson Irene Lena
• Languages of publication: EN

Abstracts

EN

The Kumaraswamy distribution is the most widely applied statistical distribution in hydrological problems and many natural phenomena. We propose a generalization of the Kumaraswamy distribution referred to as the transmuted Kumaraswamy (T K w) distribution. The new transmuted distribution is developed using the quadratic rank transmutation map studied by Shaw et al. (2009). A comprehensive account of the mathematical properties of the new distribution is provided. Explicit expressions are derived for the moments, moment generating function, entropy, mean deviation, Bonferroni and Lorenz curves, and formulated moments for order statistics. The T K w distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation is performed in order to investigate the performance of MLEs. The flood data and HIV/ AIDS data applications illustrate the usefulness of the proposed model.

Keywords

EN

Kumaraswamy distribution; moments; order statistics; parameter estimation; maximum likelihood estimation

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2016
• Volume: 17
• Issue: 2
• Pages: 183-210

Contributors

author

Khan Muhammad Shuaib

• School of Mathematical and Physical Sciences, The University of Newcastle

author

King Robert

• School of Mathematical and Physical Sciences, The University of Newcastle

author

Hudson Irene Lena

• School of Mathematical and Physical Sciences, The University of Newcastle

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