Author(s):
1. Ahmed. A. Fattah:
Department of mathematical statistics Institute of Statistical Studies & Research, Cairo University, Egypt
2. A-hadi N. Ahmed:
Department of mathematical statistics Institute of Statistical Studies & Research, Cairo University, Egypt
Abstract:
In this paper, we propose a new method for generating families of continuous distributions based on the star-shaped property which grantees the existences of some well know properties for the generated classes and distributions for any non-negative random variables. We refer to the new class as the composed- generator or shortly ( - ) generator. We study some mathematical properties of the new family. Some special families and sub-models from the - generator are discussed. To examine the performance of our new generator and the generated models in fitting several data we use two real sets of data; censored and uncensored then comparing the fitting of a new produced model called composed- Lomax Weibull )with some well-known models, which provides the best fit to all of the data. A simulation has been performed to assess the behavior of the maximum likelihood estimates of the parameters under the finite samples.
Page(s):
253-273
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 2, Year: 2018
Keywords:
moment generating function
,
Inversion
,
Survival Function
,
Star Shaped
References:
References are not available for this document.
Citations
Citations are not available for this document.