A New Family of Distributions with Exponentiated Modified Term
This paper introduces family of distributions by adding a special term to distribution function. This term is equipped with an extra parameter which provides to be more flexible family of distribution. Two new families of distributions are proposed by adding modified exponentiated term to product of two distribution functions. A special case, where baseline distributions of family are exponentials, has been considered in details. Some properties of the proposed distribution, including explicit expressions for the raw moments, moment generating function, hazard rate function are derived. Shapes and limit behavior of the hazard function are discussed. The maximum likelihood estimators of parameters cannot be obtained in explicit forms, so likelihood equations have to be solved by numerical methods only. Furthermore, three real data sets have been analyzed to show how the considered model work in practice.
Disclaimer/Regarding indexing issue:
We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.