The odd generalized exponential family of distributions with applications

99Citations
Citations of this article
27Readers
Mendeley users who have this article in their library.

Abstract

We propose a new family of continuous distributions called the odd generalized exponential family, whose hazard rate could be increasing, decreasing, J, reversed-J, bathtub and upside-down bathtub. It includes as a special case the widely known exponentiated-Weibull distribution. We present and discuss three special models in the family. Its density function can be expressed as a mixture of exponentiated densities based on the same baseline distribution. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, Bonferroni and Lorenz curves, Shannon and Rényi entropies and order statistics. For the first time, we obtain the generating function of the Fréchet distribution. Two useful characterizations of the family are also proposed. The parameters of the new family are estimated by the method of maximum likelihood. Its usefulness is illustrated by means of two real lifetime data sets. AMS Subject Classification Primary 60E05; secondary 62N05; 62F10.

References Powered by Scopus

A Mathematical Theory of Communication

37105Citations
N/AReaders
Get full text

A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families

1055Citations
N/AReaders
Get full text

Generalized exponential distributions

961Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Compounding of distributions: a survey and new generalized classes

107Citations
N/AReaders
Get full text

The Gompertz-G family of distributions

96Citations
N/AReaders
Get full text

The Burr XII System of densities: properties, regression model and applications

95Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Tahir, M. H., Cordeiro, G. M., Alizadeh, M., Mansoor, M., Zubair, M., & Hamedani, G. G. (2015). The odd generalized exponential family of distributions with applications. Journal of Statistical Distributions and Applications, 2(1). https://doi.org/10.1186/s40488-014-0024-2

Readers' Seniority

Tooltip

PhD / Post grad / Masters / Doc 5

45%

Lecturer / Post doc 3

27%

Researcher 3

27%

Readers' Discipline

Tooltip

Mathematics 7

64%

Agricultural and Biological Sciences 2

18%

Computer Science 1

9%

Social Sciences 1

9%

Article Metrics

Tooltip
Social Media
Shares, Likes & Comments: 1

Save time finding and organizing research with Mendeley

Sign up for free