Shrinkage Testimators and their Applications for the Reciprocal of Shape Parameter of Pareto Distribution

 

B.N. Pandey, A.K. Srivastava, and H.O. Tiwari  (2008). Shrinkage Testimators and their Applications for the Reciprocal of Shape Parameter of Pareto Distribution. Journal of Statistical Research, Vol. 42, No. 1, pp.  45-58.

 

Abstract

In this paper, the estimation for the reciprocal of the shape parameter of the Pareto distribution $ (1/a) $ has been considered. If $ (1/a_0) $ be the prior guess value of $ (1/a) $ then shrunken estimator for $ (1/a) $ has been proposed and its properties have been studied. For socio-economic data n is usually large, the normal approximation to test statistics can be applied (see Rahman et al. (1997)) which gives equal tail areas on either side of uniformly most powerful unbiased test. By taking normal approximations to test statistics a shrunken testimator and preliminary testimator for $ (1/a) $ have been proposed and its properties are discussed.

 

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