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Published in:

Volume 8 Issue 9
September-2021
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR2109077


Registration ID:
314757

Page Number

a546-a556

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Title

BAYESIAN AND CLASSICAL ESTIMATION OF PARAMETER AND RELIABILITY OF BURR TYPE XII DISTRIBUTION

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Abstract

This paper deals with the Bayesian and classical estimation of parameter θ of the Burr type XII Distribution .The estimation has been performed for type II censored samples. In classical setup the Maximum Likelihood Estimator (MLE) and the Unique Minimum Variance Unbiased (UMVU) Estimator of θ and the Reliability of the distribution have been obtained. In the Bayesian setup estimates of θ and the reliability of the distribution have been obtained .The estimation has been performed by taking a Natural Conjugate prior distribution for θ and four different types of loss functions. On the part of loss functions, the Squared Error Loss Function (SELF), DeGroot Loss Function (DLF), Minimum Expected Loss (MELO) Function and Exponentially Weighted Minimum Expected Loss (EWMELO) Function have been considered. Bayes Risks of Bayes estimators corresponding to four loss functions have also been obtained.

Key Words

Burr type XII Distribution, Maximum Likelihood Estimator, Unique Minimum Variance Unbiased Estimator, Reliability, Type II Censoring Bayes Estimator, Squared Error Loss Function (SELF), DeGroot Loss Function (DLF), Minimum Expected Loss (MELO) Function and Exponentially Weighted Minimum Expected Loss (EWMELO) Function.Bayes Risk.

Cite This Article

"BAYESIAN AND CLASSICAL ESTIMATION OF PARAMETER AND RELIABILITY OF BURR TYPE XII DISTRIBUTION ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 9, page no.a546-a556, September-2021, Available :http://www.jetir.org/papers/JETIR2109077.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"BAYESIAN AND CLASSICAL ESTIMATION OF PARAMETER AND RELIABILITY OF BURR TYPE XII DISTRIBUTION ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 9, page no. ppa546-a556, September-2021, Available at : http://www.jetir.org/papers/JETIR2109077.pdf

Publication Details

Published Paper ID: JETIR2109077
Registration ID: 314757
Published In: Volume 8 | Issue 9 | Year September-2021
DOI (Digital Object Identifier):
Page No: a546-a556
Country: -, -, India .
Area: Engineering
ISSN Number: 2349-5162
Publisher: IJ Publication


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