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Bayesian Exploration of 4-Component Rayleigh Mixture Model with Wind Speed Data Application.

Authors :
Jahangir, Arifa
Farzana Noor
Siddiqa, Maryam
Zaman, Mehwish
Asghar, Rabia
Source :
Mathematical Problems in Engineering. 2/10/2022, p1-16. 16p.
Publication Year :
2022

Abstract

This article focuses on the application of wind speed data of 4 coastal areas of Baluchistan, that is, Gawadar, Jiwani, Ormara, and Pasni on 4-Component Rayleigh Mixture Model (4-CRMM) under Bayesian context. Type I right censoring scheme is used because it is popular in reliability theory and survival analysis. To accomplish the objective, the Bayes estimates (BEs) of the parameter of the mixture model along with their posterior risks (PRs) using informative prior (IP) and noninformative prior (NIP) are obtained. Hyperparameters are obtained by employing the prior predictive method. BEs are calculated under two distinct loss functions, squared error loss function (SELF) and modified squared error loss function (MSELF). The statistical properties and performance of the BEs under said loss functions are also evaluated by simulation study for different sample sizes. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1024123X
Database :
Academic Search Index
Journal :
Mathematical Problems in Engineering
Publication Type :
Academic Journal
Accession number :
155186810
Full Text :
https://doi.org/10.1155/2022/8929859