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Awatif Rzzoky Mizaal, Awatif Rzzoky
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MATHEMATICAL STUDY OF WEIGHTED TWO PARAMETERS EXPONENTIAL DISTRIBUTION Mizaal, Awatif Rzzoky
MAGISTRA Vol 26, No 93 (2015): Magistra Edisi September
Publisher : MAGISTRA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (13.153 KB)

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.
MATHEMATICAL STUDY OF WEIGHTED TWO PARAMETERS EXPONENTIAL DISTRIBUTION Mizaal, Awatif Rzzoky
MAGISTRA Vol 27, No 93 (2015): Magistra September
Publisher : MAGISTRA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1381.867 KB)

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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