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Estimation under a Finite Mixture of Exponentiated Exponential Components Model and Balanced Square Error Loss
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Open Journal of Statistics·Volume 02 (2012)·Pages 28–38·Published 6 January 2012·DOI10.4236/ojs.2012.21004
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Abstract
By exponentiating each of the components of a finite mixture of two exponential components model by a positive parameter, several shapes of hazard rate functions are obtained. Maximum likelihood and Bayes methods, based on square error loss function and objective prior, are used to obtain estimators based on balanced square error loss function for the parameters, survival and hazard rate functions of a mixture of two exponentiated exponential components model. Approximate interval estimators of the parameters of the model are obtained.
KeywordsFinite MixturesExponentiated Exponential DistributionMaximum Likelihood EstimationBayes EstimationSquare Error and Balanced Square Error Loss FunctionsObjective Prior
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