Open Access Open Access  Restricted Access Subscription or Fee Access

Generalized Burr X family of distributions

Farrukh Jamal, M. Arslan Nasir


In this paper, we introduce a new class of distributions called Burr X family of distributions with one extra positive parameter to generalize any continuous baseline distribution. This class can yield flexible hazard rate shapes such as increasing, decreasing, bathtub and upside-down bathtub. Some mathematical properties of the new class including ordinary and incomplete moments, quantile, generating functions, mean deviations, order statistics and entropy measures are obtained. The model parameters are estimated by the maximum likelihood method. A real data is analyzed to check the potentiality of the new class.


Burr family, Burr X distribution, hazard rate, maximum likelihood estimation.

Full Text:


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.