|
|
 |
| |
|
|
|
Characterization, Reliability and Information measures of Even-Power Weighted Generalized Gamma Distribution |
|
|
|
PP: 247-262 |
|
|
|
Author(s) |
|
|
|
J. A. Reshi,
A. Ahmed,
|
|
|
|
Abstract |
|
|
| The Weighted distributions arise when the observations generated from a stochastic process are not given equal chance of
being recorded; instead they are recorded according to some weighted function. Since the widely using of the weighted distribution in
many fields of real life such various areas including medicine, ecology, reliability, and so on , then we try to shed light and record our
contribution in this field thru the research. In this paper, a new class of an Even Power Weighted Generalized Gamma Distribution is
introduced. An Even-Power Weighted Generalized Gamma distribution is obtained by taking the weights as the variate values have
been defined. The important statistical properties including hazard functions, reverse hazard functions, measures of central tendency and
dispersion, moment generating function, characteristic function, Shannon’s entropy and Fisher’s information matrix of a new model has
been derived and studied. Here, we also study EPWGG entropy estimation,Akaike and Bayesian information criterion. A likelihood
ratio test for an Even Power Weighted Generalized Gamma Distribution is conducted. A simulation study has been done by using Rsoftware. |
|
|
|
|
|
|
|
