EMPIRICAL COMPARISON OF VARIOUS APPROXIMATE ESTIMATORS OF THE VARIANCE OF HORVITZ THOMPSON ESTIMATOR UNDER SPLIT METHOD OF SAMPLING

  • Neeraj Tiwari Department of Statistics, Kumaun University, S.S.J. Campus, Almora-263601,Uttarakhand (INDIA)
  • Akhil Chilwal Department of Statistics, Kumaun University, S.S.J. Campus, Almora-263601,Uttarakhand (INDIA)
Keywords: Variance Estimation, Relative Bias, Relative Mean Square Error, Efficiency, Split Method of Sample Selection

Abstract

Under inclusion probability proportional to size (IPPS) sampling, the exact secondorder inclusion probabilities are often very difficult to obtain, and hence variance of the Horvitz- Thompson estimator and Sen-Yates-Grundy estimate of the variance of Horvitz-Thompson estimator are difficult to compute. Hence the researchers developed some alternative variance estimators based on approximations of the second-order inclusion probabilities in terms of the first order inclusion probabilities. We have numerically compared the performance of the various alternative approximate variance estimators using the split method of sample selection

 

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Published
2014-05-31
Section
Articles