TY  - JOUR
T1  - A New Mixture of Gamma Shape Distributions: Properties Applications
AU - Shama, M.S. 
JO  - Journal of Modern Mathematics and Statistics
VL  - 15
IS  - 2
SP  - 25
EP  - 38
PY  - 2021
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2021.25.38
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2021.25.38
KW  - Gamma shape distribution
KW  -inverse power distribution
KW  -mixture gamma
KW  -mixture of gamma shape distributions
KW  -goodness of fit
AB  - Over the last few decades, mixture distributions
are used in creating population from two or more
distributions. Mixture distributions are a good application
in the applications of Medical Science, Biology,
Engineering, Finance and Economics. Gaussian mixture
models have broad utility including their usage for
model-based clustering framework. Recently, there are
indications to use of non-Gaussian mixture distributions
to skewed and asymmetric data. We propose a mixture
model of Inverse Power Gamma Shape distributions
(IPGSM) to analyze positive data. Basic structural
properties such raw and central moments, hazard rate
function and order statistics are obtained. Different
estimation methods are studied to estimate the proposed
model parameters. Simulation studies is done to present
the performance and behavior of the different estimates of
the proposed model parameters. Two real data sets are
provided to compare the reliability of the new model with
other models.
ER  -