Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/4642
Title: Estimation on Common Shape Parameter of Two Weibull Populations with Unknown and Different Scales
Authors: Parida, Kalinga Kanya
Tripathy, Manas Ranjan
Keywords: Shape Parameter
Weibull Populations
Issue Date: Jul-2024
Citation: 2nd International Conference on Recent Advances in Applied Mathematics(RAAM), IIT BHU, 3-5 July 2024
Abstract: The present paper addresses the problem of point estimation of the common shape parameter of two Weibull populations with different and unknown scales. Here we take the most frequently used method, the maximum likelihood estimators (MLEs). As the closed-form for our proposed model does not exist, we compute it numerically. Certain Bayes estimators using informative prior have been obtained. Like the MLEs, the closed form of these Bayes estimators do not exist, so approximation methods proposed by Lindley, Tierney & Kadane, and the Markov chain Monte Carlo (MCMC) have been used to approximate the Bayes estimators. A detailed simulation study has been carried out to compare the performances of all the proposed estimators in terms of bias and mean squared error (MSE). From our study, we found that the MCMC approximation performs better, followed by the Tierney & Kadane approximation, the MLE and the Lindley approximation. A real-life data set is considered and analyzed for the purpose of illustration.
Description: Copyright belongs to proceeding publisher
URI: http://hdl.handle.net/2080/4642
Appears in Collections:Conference Papers

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