2015/10/28 by Laba Handique, Subrata Chakraborty, Handique, Laba +1 · 1 citation
Economics, Econometrics and Finance · Environmental Science · Mathematics · #FOS: Mathematics #Financial Risk and Volatility Modeling #Hydrology and Drought Analysis #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.1510.08401
openalex publication_date 2015/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new family of distribution is proposed by using Kumaraswamy-G (Cordeiro and de Castro, 2011) distribution as the base line distribution in the Generalized Marshal-Olkin (Jayakumar and Mathew, 2008) Construction. A number of special cases are presented. By expanding the probability density function and the survival function as infinite series the proposed family is seen as infinite mixtures of the Kumaraswamy-G (Cordeiro and de Castro, 2011) distribution. Density function and its series expansions for order statistics are also obtained. Order statistics, moments, moment generating function, Rényi entropy, quantile function, random sample generation, asymptotes, shapes and stochastic orderings are also investigated. The methods of parameter estimation by method of maximum likelihood and method of moment are presented. Large sample standard error and confidence intervals for the mles are also discussed. One real life application of comparative data fitting with some of the important sub models of the family and some other models is considered.