Open AccessDiscrimination between Gamma and Rayleigh Models
Author(s) -
Muppirala Ravikumar,
R. R. L. Kantam
Publication year - 2016
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2016.1.2-010
Subject(s) - generalized gamma distribution , rayleigh distribution , gamma distribution , cumulative distribution function , inverse gamma distribution , inference , rayleigh scattering , distribution (mathematics) , mathematics , inversion (geology) , statistical physics , econometrics , computer science , statistics , inverse chi squared distribution , mathematical analysis , physics , artificial intelligence , probability distribution , probability density function , distribution fitting , geology , optics , paleontology , structural basin
The two popular life testing models are considered to verify whether one can be an alternative to other. The motivation for this study is as follows. It is well known that the cumulative distribution function of Rayleigh distribution can be analytically inverted where as it is not so with Gamma distribution. Generally analytical inversion of cumulative distribution function would be advantageous in the study of problems of inference. “Whether this advantage can be explored in assessing the discrimination or otherwise of the two models” is studied in this paper.