No Detail Found!

ON THE GENERALIZED LOG BURR III DISTRIBUTION: DEVELOPMENT, PROPERTIES, CHARACTERIZATIONS AND APPLICATIONS

Author(s)
Fiaz Ahmad Bhatti National College of Business Administration and Economics,Lahore, Pakistan
Azeem Ali University of Veterinary and Animal Sciences,Lahore, Pakistan
G.G. Hamedani Marquette University, USA
Munir Ahmad National College of Business Administration and Economics,Lahore Pakistan
Abstract
In this paper, we present a generalized log Burr III (GLBIII) distribution developed on the basis of a generalized log Pearson differential equation (GLPE). The density function of the GLBIII is exponential, arc, J, reverse-J, bimodal, left-skewed, rightskewed and symmetrical shaped. The hazard rate function of GLBIII distribution has various shapes such as constant, increasing, decreasing, increasing-decreasing, upsidedown bathtub and modified bathtub. Descriptive measures such as quantile function, submodels, ordinary moments, moments of order statistics, incomplete moments, reliability and uncertainty measures are theoretically established. The GLBIII distribution is characterized via different techniques. Parameters of the GLBIII distribution are estimated using maximum likelihood method. A simulation study is performed to illustrate the performance of the maximum likelihood estimates (MLEs). Goodness of fit of this distribution through different methods is studied. The potentiality and usefulness of the GLBIII distribution is demonstrated via its applications to two real data sets.
Publication Details
Page(s) 25-51
DOI DOI not available
Published Journal: Pakistan Journal of Statistics, Volume: 35, Issue: 1, Year: 2019

Request the full text from PASTIC

Keywords
Characterizations and Maximum Likelihood, Uncertainty, Reliability, Moments
0

Citations

0

Downloads

79

Views