Research Article
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DOI:
http://dx.doi.org/10.24327/ijrsr.2017.0807.0454
Subject:
science
KeyWords:
Exponentiated Inverted Weibull Distribution, Precautionary loss function, De-groot loss function, Prior distribution, Bayes estimate, Maximum Likelihood Estimator, Reliability function.
Abstract:
The exponentiated inverted Weibull distribution (EIWD) is a generalization of the exponentiated inverted exponential distribution as well as the inverted Weibull distribution and exponentiated exponential family is a generalization of Gamma and Weibull distribution so EIWD has wide applicability in reliability theory. In this paper we derived classical estimator i.e. maximum likelihood estimator and Bayes estimator of unknown parameter and reliability function of Exponentiated Inverted Weibull Distribution using Precautionay loss function and De-groot loss function.