Open Access Open Access  Restricted Access Subscription or Fee Access

A New Family of Lifetime Distributions with Real Life Applications

Adil Rashid, T. R. Jan

Abstract



In this paper we construct a new family of lifetime distributions which is obtained by compounding Lindley distribution with power series distribution the new distribution so obtained is known as Lindley power series (LPS) distribution that generalizes Lindley geometric distribution due to Zakerzadeh and Mahmoudi (2012). In addition to this, the new family so obtained contains some special sub models such as Lindley binomial, Lindley logarithmic and Lindley Poisson which are very useful for modeling lifetime data. Furthermore, some mathematical properties such as moment generating function, moments, hazard function, survival function, order statistics and estimation of parameters via maximum likelihood estimation method are also studied. Sub models of LPS family are also investigated in detail. Finally the potentiality of proposed family is justified by using it to model the real life data set.

Full Text: PDF


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.