MAGISTRA
Vol 26, No 93 (2015): Magistra Edisi September

MATHEMATICAL STUDY OF WEIGHTED TWO PARAMETERS EXPONENTIAL DISTRIBUTION

Mizaal, Awatif Rzzoky (Unknown)



Article Info

Publish Date
01 Sep 2015

Abstract

This paper deals with studying a weighted exponential distribution with two parameters ( ) shape parameter ( ) and ( ) scale parameter ( ), and deriving it’s cumulative distribution function, reliability function, also deriving the estimators by maximum likelihood method and moment estimator which are found after deriving the moment generating function and obtaining . Also we try to use two parameters ( ) as well as the reliability function using different sample size ( ), comparison has been done using mean square error, all results explained by tables. Keywords: Weighted exponential distribution, scale and shape parameters, cumulative distribution function, reliability function, MLE, MOM.

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