Department of Mathematics, Statistics and Actuarial Sciences

Permanent URI for this collectionhttp://localhost:4000/handle/20.500.12092/1962

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Start date: 2020End date: 2023

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    On a Quotient Group 7^4:(3X2S_7) of a 7-local Subgroup of the Monster M
    (Karatina University, 2023-01) Musyoka, David Mwanzia; Njuguna, Lydia Nyambura; Prins, Abraham Love; Chikamai, Lucy
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    Bayesian Estimation of Parameters of Weibull Distribution Using Linex Error Loss Function
    (Canadian Center of Science and Education, 2020-02) Kinyanjui, Josphat Kamau; Kori, Betty Chemutai
    This 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.
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