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Asymptotic variance and MSE of prametric functions in sampling from one - and two-truncation parameter families

Author Affiliations

  • 1Department of Statistics, Sardar Patel University, Vallabhvidyanagar-388120, Anand, Gujarat, India
  • 2Department of Statistics, Sardar Patel University, Vallabhvidyanagar-388120, Anand, Gujarat, India

Res. J. Mathematical & Statistical Sci., Volume 9, Issue (2), Pages 6-11, May,12 (2021)

Abstract

Asymptotic distributions related to one- and two-truncation parameter family of distributions are presented in this article. Due to non-availability of variance and MSE for unbiased and biased estimator we use asymptotic theory. Using the asymptotic distributions performance of different estimators are compared and MSE stabilization transformation obtained. Strength and tress problem, P[Y>X] also studied and performance of the UMVU estimator relative to MLE measured in terms of LRE and ARE and illustrated by example.

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