Bayesian Estimation of Parameters of Weibull Distribution Using Linex Error Loss Function

dc.contributor.authorKinyanjui, Josphat Kamau
dc.contributor.authorKori, Betty Chemutai
dc.date.accessioned2023-05-18T08:46:02Z
dc.date.available2023-05-18T08:46:02Z
dc.date.issued2020-02
dc.descriptionBayesian Estimation of Parameters of Weibull Distributionen_US
dc.description.abstractThis paper develops a Bayesian analysis of the scale parameter in the Weibull distribution with a scale parameter θ and shape parameter β (known). For the prior distribution of the parameter involved, inverted Gamma distribution has been examined. Bayes estimates of the scale parameter, θ , relative to LINEX loss function are obtained. Comparisons in terms of risk functions of those under LINEX loss and squared error loss functions with their respective alternate estimators, viz: Uniformly Minimum Variance Unbiased Estimator (U.M.V.U.E) and Bayes estimators relative to squared error loss function are made. It is found that Bayes estimators relative to squared error loss function dominate the alternative estimators in terms of risk function.en_US
dc.identifier.citationInternational Journal of Statistics and Probability 9(2):38en_US
dc.identifier.issnISSN 1927-7040
dc.identifier.uriDOI:10.5539/ijsp.v9n2p38
dc.identifier.urihttps://karuspace.karu.ac.ke/handle/20.500.12092/2865
dc.language.isoenen_US
dc.publisherCanadian Center of Science and Educationen_US
dc.subjectBayes estimatesen_US
dc.subjectsquared error loss functionen_US
dc.subjectLINEX loss functionen_US
dc.subjectU.M.V.U.E.en_US
dc.titleBayesian Estimation of Parameters of Weibull Distribution Using Linex Error Loss Functionen_US
dc.typeArticleen_US

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
ABSTRACT.pdf
Size:
100.51 KB
Format:
Adobe Portable Document Format
Description:
ABSTRACT

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: