On the Application of Two Parameter Shanker Distribution


Authors : Olukemi B. Olufemi -Ojo; Sidney I. Onyeagu; Happiness O. Obiora Ilouno

Volume/Issue : Volume 9 - 2024, Issue 1 - January

Google Scholar : http://tinyurl.com/5ys5a5tf

Scribd : http://tinyurl.com/4bk6ufjv

DOI : https://doi.org/10.5281/zenodo.10559198

Abstract : In this study, a two parameter Shanker distribution was proposed. Its statistical Properties including the probability density function, moments, kurtosis, skewness, survival function, hazard function, stochastic ordering and more were discussed. The maximum likelihood method was used to estimate the parameters. The proposed distribution was compared with one parameter shanker, two-parameter Lindley, two-parameter Weibull and two-parameter Gamma distributions using log likelyhood function, the Akaike Information Criterion and Bayesian Information Criterion.

Keywords : Shanker Distribution, Goodness of Fit, Maximum Likelyhood, Hazard Function, Moment Generating Function.

In this study, a two parameter Shanker distribution was proposed. Its statistical Properties including the probability density function, moments, kurtosis, skewness, survival function, hazard function, stochastic ordering and more were discussed. The maximum likelihood method was used to estimate the parameters. The proposed distribution was compared with one parameter shanker, two-parameter Lindley, two-parameter Weibull and two-parameter Gamma distributions using log likelyhood function, the Akaike Information Criterion and Bayesian Information Criterion.

Keywords : Shanker Distribution, Goodness of Fit, Maximum Likelyhood, Hazard Function, Moment Generating Function.

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