Estimation under a Finite Mixture of Exponentiated Exponential Components Model and Balanced Square Error Loss
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.
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.
KEYWORDS
Finite Mixtures; Exponentiated Exponential Distribution; Maximum Likelihood Estimation; Bayes Estimation, Square Error and Balanced Square Error Loss Functions; Objective Prior
Finite Mixtures; Exponentiated Exponential Distribution; Maximum Likelihood Estimation; Bayes Estimation, Square Error and Balanced Square Error Loss Functions; Objective Prior
Cite this paper
E. AL-Hussaini and M. Hussein, "Estimation under a Finite Mixture of Exponentiated Exponential Components Model and Balanced Square Error Loss," Open Journal of Statistics, Vol. 2 No. 1, 2012, pp. 28-38. doi: 10.4236/ojs.2012.21004.
E. AL-Hussaini and M. Hussein, "Estimation under a Finite Mixture of Exponentiated Exponential Components Model and Balanced Square Error Loss," Open Journal of Statistics, Vol. 2 No. 1, 2012, pp. 28-38. doi: 10.4236/ojs.2012.21004.
References
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