No Detail Found!

Modified beta generalized linear failure rate distribution: theory and applications

Author(s)
FARRUKH JAMAL Department of Statistics, The Islamia University Bahawalpur, Pakistan
IBRAHIM ELBATAL Institute of Statistical Studies and Research (ISSR), Department of Mathematical Statistics, Cairo University, Egypt
CHRISTOPHE CHESNEAU Department of Mathematics, LMNO, University of Caen-Normandie, Caen, France
MOHAMMED ELGARHY Department of Mathematics and Statistics, University of Jeddah, Jeddah, Kingdom of Saudi Arabia
AMAL S. HASSAN Institute of Statistical Studies and Research (ISSR), Department of Mathematical Statistics, Cairo University, Cairo,
Abstract
In this paper we introduce a new comprehensive six-parameter distribution called the modified beta generalized linear failure rate distribution. One of the interest of this distribution is to generalize some well-known flexible distributions discussed in the literature, such as (i) the beta linear failure rate distribution, (ii) the generalized linear failure rate distribution, (iii) the beta exponential distribution, (iv) the beta Rayleigh distribution and (v) the generalized exponential distribution, among others. We derive some of its statistical properties, including the moments, the moment generating function, the quantile function, the order statistics and the mean deviations. We propose the method of maximum likelihood for estimating the model parameters. A simulation study is performed in order to investigate the performance of the maximum likelihood estimators. A real data set is used to illustrate the importance and the flexibility of the new distribution.
Publication Details
Page(s) 123-148
DOI DOI not available
Published Journal: Journal of Prime Research in Mathematics, Volume: 16, Issue: 2, Year: 2020

Request the full text from PASTIC

Keywords
Moments, Maximum likelihood estimation., Moment Generating function, Modified beta distribution, generalized linear failure rate distribution
More from Journal of Prime Research in Mathematics
0

Citations

0

Downloads

45

Views

Copyright ©  PASTIC National Center, Islamabad www.pastic.gov.pk