The Topp Leone Generalized Inverted Kumaraswamy Distribution: Properties and Applications
Hesham Reyad *
Department of Information Systems and Production Management, College of Business and Economics, Qassim University, KSA.
Farrukh Jamal
Department of Statistics, Govt. S. A. Postgraduate College, Dera Nawab Sahib, Pakistan.
Soha Othman
Department of Applied Statistics, Cairo University, Egypt.
Nagla Yahia
Department of Statistics, Faculy of Economics and Political Sciences, Cairo University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
We propose a new four parameters continuous model called the Topp Leone generalized inverted Kumaraswamy distribution which extends the generalized inverted Kumaraswamy distribution. Basic mathematical properties of the new distribution are invstigated such as; quantile function, raw and incomplete moments, generating functions, probability weighted moments, order statistics, Rényi entropy, stochastic ordering and stress strength model. The method of maximum likelihood is used to estimate the model parameters of the new distribution. A Monte Carlo simulation is conducted to examine the behavior of the parameter estimates. The applicability of the new model is demonstrated by means of two real applications.
Keywords: Inverted Kumaraswamy distribution, probability weighted moments, order statistics, stochastic ordering, stress strength model, Topp Leone-G family.