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Journal of Research, SKUAST–J
Year : 2005, Volume : 4, Issue : 1
First page : ( 80) Last page : ( 87)
Print ISSN : 0972-7469.

On the generalization of rao-cramer inequality

Bhat Bilal Ahmad

Division of Agricultural Economic and Statistics, Main Campus Chatha, SKUAST–J, Jammu-180 009

Abstract

Let X1, X2, .., Xn denote a random sample of size n≥1 from a distribution with p.d.f. f(x; θ), θ ϵ Ω = (θ; α<θ<β), where α and β are known numbers. If Y = φ(X1, X2, …, Xn) is an unbiased estimator of parameter θ and σ2y denote the variance of Y then according to the Rao-Cramer Inequality

In this paper, we shall present some generalizations and a refinement of this famous inequality.

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Key words

Unbiased estimator, efficient estimator, Rao-cramer inequality, likelihood function.

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