A New Generalized Burr Family of Distributions for the Lifetime Data

Authors

M. Arslan Nasir, Department of Statistics, Government Degree College, Lodhran, Punjab, Pakistan\\ Department of Statistics, Baghdad Campus, The Islamia University Bahawalpur, Bahawalpur-631000, Pakistan.Follow
M. H. Tahir
Farrukh Jamal
Gamze Ozel

Author Country (or Countries)

Pakistan.

Abstract

We propose a new family of distributions called the generalized Burr-G (GBG) family of distributions motivated mainly for lifetime phenomenon. Some mathematical properties of the new family are obtained such as quantile function, linear representation of the family density, moments and incomplete moments, moment generating function, mean deviations, stochastic ordering, stressstrength reliability parameter and order statistics. The model parameters are estimated by the method of maximum likelihood for complete and censored samples. Four special models are discussed and the properties of one special model, the generalized Burruniform (GBU), are obtained. A simulation study is carried out to check the performance of maximum likelihood estimators. The usefulness of GBU model is proved empirically by means of three real lifetime applications to complete and censored samples

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/060215

Recommended Citation

Arslan Nasir, M.; H. Tahir, M.; Jamal, Farrukh; and Ozel, Gamze (2017) "A New Generalized Burr Family of Distributions for the Lifetime Data," Journal of Statistics Applications & Probability: Vol. 6: Iss. 2, Article 15.
DOI: http://dx.doi.org/10.18576/jsap/060215
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol6/iss2/15