MAGISTRA
Vol 27, No 93 (2015): Magistra September

MATHEMATICAL STUDY OF WEIGHTED TWO PARAMETERS EXPONENTIAL DISTRIBUTION

Mizaal, Awatif Rzzoky (Unknown)



Article Info

Publish Date
28 Feb 2018

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 arefound after deriving the moment generating function and obtaining . Also we try to use twoparameters ( ) 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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