Family of Distributions Derived from Whittaker Function

In this paper, we introduce a general family of distributions based on Whittaker function. The properties of obtained distributions, moments, ordering, percentiles, and unimodality are studied. The distributions' parameters are estimated using methods of moments and maximum likelihood. Furthermore, a generalization of Whittaker distribution that contains a wider class of distributions is developed. Validation of the obtained results is applied to real life data containing four data sets.

Automated summary

In this paper, we present a general family of distributions based on the Whittaker function. The properties of the obtained distributions, including moments, ordering, percentiles, and unimodality, are studied. The parameters of the distributions are estimated using the methods of moments and maximum likelihood. Additionally, a generalized Whittaker distribution that includes a wider class of distributions is developed. The obtained results are validated using real-life data consisting of four data sets.