Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Multistage Point and Confidence Interval Estimation of the Shape Parameter of Pareto Distribution

  • Hamdy, H.I. (Department of Quantitative Methods and Information Systems, KU) ;
  • Son, M.S. (Department of Mathematics and Statistics, 16 Colchester Avenue, UVM) ;
  • Gharraph, M.K. (Department of Mathematics and Statistics, 16 Colchester Avenue, UVM) ;
  • Rashad, A.M. (Department of Mathematics and Statistics, 16 Colchester Avenue, UVM)
  • Published : 2003.12.01
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Abstract

This article presents the asymptotic theory of triple sampling procedure as pertain to estimating the shape parameter of Pareto distribution. Both point and confidence interval estimation are considered within the same inference unified framework. We show that this group sampling technique possesses the efficiency of Anscome (1953), Chow and Robbins (1965) purely sequential procedure as well as reduce the number of sampling operations by utilizing Stein (1945) two stages procedure. The analysis reveals that the technique performs excellent as far as the accuracy is concerned. The present problem differs from those considered by many authors, in multistage sampling, in that the final stage sample size and the parameter's estimate become highly correlated and therefore we adopted different approach.

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References

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