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Algorithm-I on Splitting of Sizes for Sampling Procedure with inclusion Probabilities Proportional to Size

Author Affiliations

  • 1Department of Statistics, University of Botswana, BOTSWANA

Res. J. Mathematical & Statistical Sci., Volume 4, Issue (6), Pages 6-10, July,12 (2016)

Abstract

The sampling scheme proposed by Srivastava and Singh depends upon a specific split of the sizes and most of the Πij's do not satisfy the condition of non-negativity of variance estimates as suggested by Hanurav. Using the information about the nature of non-negativity condition (ij>0) approach, Dwivedi provided split of sizes with less number of trials which gives a set of Πij's satisfying the condition of non-negativity of variance estimates. This paper provides an algorithm for a proper split of sizes which gives a set of Πij's such that the condition of non-negativity of variance estimates is nearly satisfied. It is also shown that on an average the relative efficiency of proposed algorithm shows the superiority over PPSWR.

References

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