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Abstract

In this paper we propose two shrinkage estimators of the entropy function for the exponential distribution, using progressive Type II censored sample. The risk functions and the relative risk functions of the suggested estimators are derived under symmetric and asymmetric loss functions, viz., squared error loss function and LINEX loss function. The results show that the suggested estimators have better performance than a classical estimator in terms relat ive risk. Keywords and phrases: entropy function, exponential distribution, shrinkage estimat ion, progressive censoring type II sample. 2010 Mathemat ics Subject Classificat ion: 94A17, 62N01, 62N02.

References:-

References

Balakrishnan, N..Progressive censoring methodology: an appraisal, Test. (2007), 16: 211–

Balakrishnan,N and Aggarwala ,R..Progressive censoring: Theory and applications . Boston:

Birkhauser and publisher. (2000).

Jeevanand, E. S. and Abdul-Sathar, E. I.. Estimation of residual entropy function for

exponential distribution from censored samples, Probstat Forum. (2009), 2:68-77.

Kayal, S. and Kumar, S..Estimating the entropy of an exponential population under the linex

loss function, JISA. (2011), 49:91-112.

Lazo, A. C. G. V. and Rathie, P. N.. On the entropy of continuous distribution, IEEE Trans.

Information Theory. (1978), 24:120-122.

Misra, N. , Singh, H. and Demchuk, E..Estimation of the entropy of multivariate normal

distribution , J. Mult. Anal. (2005), 92:324-342.

Shannon, C.. A mathematical theory of communication, Bell System Tech.J. (1948), 27:379-

Thompson, J. R.. Some shrinkage techniques for estimating the mean, JASA. (1968) ,63:

-122.

Varian, H.R.. A Bayesian approach to real estate assessment studies in Bayesian

econometrics and statistics in honor of L.J. savage Eds. S.E. Fienberg and A.Zeliner.

Amsterdam, North Holland. (1975): 195-208.

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Jiheel, A. K., & Shanubhogue, A. (2014). Shrinkage Estimation of the Entropy Function for the Exponential Distribution under Different Loss Functions Using Progressive Type II Censored Sample. International Journal Of Mathematics And Computer Research, 2(04), 394-402. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/125