Mathematics and Statistics Vol. 1(2), pp. 74 - 85
DOI: 10.13189/ms.2013.010210
Reprint (PDF) (438Kb)

Estimation in Misclassified Size-Biased Generalized Negative Binomial Distribution

B. S. Trivedi^1,*, M. N. Patel^2
1 H. L. Institute of Commerce, Ahmedabad University, Navrangpura, Ahmedabad
² Department of Statistics, School of Sciences, Gujarat University, Ahmedabad

ABSTRACT

In this paper, we are concerned with the situations, where sometimes value two is reported erroneously as one in relation to size biased generalized negative binomial distribution (SBGNBD) with probability α. We have obtained the Maximum likelihood estimator and Bayes estimator under general entropy loss function. A simulated study is carried out to access the performance of the maximum likelihood estimators and Bayes estimators. Also comparison has been made between maximum likelihood estimator and Bayes estimator.

KEYWORDS
Misclassification, maximum likelihood estimator, Bayes estimator, general entropy loss function, simulation

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] B. S. Trivedi , M. N. Patel , "Estimation in Misclassified Size-Biased Generalized Negative Binomial Distribution," Mathematics and Statistics, Vol. 1, No. 2, pp. 74 - 85, 2013. DOI: 10.13189/ms.2013.010210.

(b). APA Format:
B. S. Trivedi , M. N. Patel (2013). Estimation in Misclassified Size-Biased Generalized Negative Binomial Distribution. Mathematics and Statistics, 1(2), 74 - 85. DOI: 10.13189/ms.2013.010210.