Keywords:-

Keywords: censored samples; ideal estimation equation; Kiefer bound; minimum; variance unbiased estimator; parametric function; truncated distribution; variance bound.

Article Content:-

Abstract

We consider uniform density on . Identifying suitable prior densities we compute Kiefer bound on variance of unbiased estimator of the parametric function . Doubly censored sampling is taken into consideration. Further, the bounds are shown to be attained by variances of estimators based on the samples considered. Results are illustrated through examples. The bounds based on complete and censored samples are compared.

References:-

References

Bartlett, M.S.(1982).The Ideal Estimation Equation. Essays in Statistical Science. Journal of Applied

Probability Vol. I9A. 187-200. Papers in Honor of P.A.P.Moran.

Huzurbazar,V.S.(1976).Sufficient Statistics. Marcel Dekker,Inc.270 Madison Avenue,New York 10016.

Jadhav, D. B. and Prasad, M.S.(1986-87).Some Results On Kiefer Bound. Journal of Shivaji

University(Science),23, 209-214.

Jadhav, D.B. and Shanubhogue,A.(2014). KieferBound in Truncated Distributions. International Journal of

Mathematics and Computer Research.Vol.2.Issue 6,pp-469-483.

Kiefer, J.(1952).On minimum variance estimators. Annals of Math. Statistics, 23,627-629.

Shanubhogue,A. and Jadhav,D.B.(2014)a. Attainable Kiefer Bounds Using

Censored Samples from Left Truncated Family of Distributions.

International Journal of Applied Mathematics and Statistical Sciences.

(6), 57-61

Shanubhogue,A. and Jadhav,D.B.(2014)b. Attainable Kiefer Bounds Using

Censored Samples from Right Truncated Family of Distributions. Far

East Journal of Theoretical Statistics (Under Revision).

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Shanubhogue, A., & Jadhav, D. (2015). Kiefer Bound for Doubly Truncated Distributions. International Journal Of Mathematics And Computer Research, 3(01), 850-860. Retrieved from http://ijmcr.in/index.php/ijmcr/article/view/75