Open AccessKumaraswamy-Janardan Distribution: A Generalized Janardan Distribution with Application to Real Data
Author(s) -
Nelson Doe Dzivor,
Henry Otoo,
Eric Neebo Wiah
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v15i430368
Subject(s) - akaike information criterion , mathematics , moment generating function , probability density function , cumulative distribution function , half normal distribution , distribution fitting , moment (physics) , statistics , quantile function , probability distribution , mathematical optimization , asymptotic distribution , physics , classical mechanics , estimator
The quest to improve on flexibility of probability distributions motivated this research. Four-parameter Janardan generalized distribution known as Kumaraswamy-Janardan distribution is proposed through method of parameterization and studied. The probability density function, cumulative density function, survival rate function as well as hazard rate function of the distribution are established. Statistical properties such as moments, moment generating function as well as maximum likelihood of the model are discussed. The parameters are estimated using the simulated annealing optimization algorithm. Flexibility of the model in comparison with the baseline model as well as other competing sub-models is verified using Akaike Information Criteria (AIC). The model is tested with real data and is proven to be more flexible in fitting real data than any of its sub-models considered.