Inverse Power Akash Probability Distribution with Applications
Open Access
- 10 December 2020
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 6 (1), 1-32
- https://doi.org/10.34198/ejms.6121.132
Abstract
This paper introduces an inverse power Akash distribution as a generalization of the Akash distribution to provide better fits than the Akash distribution and some of its known extensions. The fundamental properties of the proposed distribution such as the shapes of the distribution, moments, mean, variance, coefficient of variation, skewness, kurtosis, moment generating function, quantile function, Rényi entropy, stochastic ordering and the distribution of order statistics have been derived. The proposed distribution is observed to be a heavy-tailed distribution and can also be used to model data with upside-down bathtub shape for its hazard rate function. The maximum likelihood estimators of the unknown parameters of the proposed distribution have been obtained. Two numerical examples are given to demonstrate the applicability of the proposed distribution and for the two real data sets, the proposed distribution is found to be superior in its ability to sufficiently model heavy-tailed data than Akash, inverse Akash and power Akash distributions respectively.Keywords
This publication has 6 references indexed in Scilit:
- A generalized akash distributionBiometrics & Biostatistics International Journal, 2018
- On Two-Parameter Akash DistributionBiometrics & Biostatistics International Journal, 2017
- On Modeling of Lifetime Data Using Akash, Shanker, Lindley and Exponential DistributionsBiometrics & Biostatistics International Journal, 2016
- On Poisson-Akash Distribution and its ApplicationsBiometrics & Biostatistics International Journal, 2016
- On Modeling of Lifetime Data Using One Parameter Akash, Lindley and Exponential DistributionsBiometrics & Biostatistics International Journal, 2016
- Theoretical StatisticsPublished by Springer Science and Business Media LLC ,1974