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Use of Auxiliary Information: Probability Proportional to Size and Without Replacement (PPSWOR) Sampling

In: Advanced Sampling Theory with Applications

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  • Sarjinder Singh

    (St. Cloud State University, Department of Statistics)

Abstract

In probability proportional to size and without replacement (PPSWOR) sampling scheme, we will discuss the Horvitz and Thompson (1952) estimator, two forms of the variance of the Horvitz and Thompson (1952) estimator and their estimators, superpopulation model, construction of inclusion probabilities, calibrated estimators of population total and calibrated estimators of variance of the estimators of total like ratio estimator, linear regression estimator, regression predictor, distribution function, Rao, Hartley, and Cochran (1962) sampling scheme, unbiased estimation strategies under IPPS sampling and unified approach. At the end, we will celebrate Golden Jubilee Year 2003 of the traditional linear regression estimator owed to Hansen, Hurwitz, and Madow (1953). Before going further we would like to define a few important symbols and mathematical relations.

Suggested Citation

  • Sarjinder Singh, 2003. "Use of Auxiliary Information: Probability Proportional to Size and Without Replacement (PPSWOR) Sampling," Springer Books, in: Advanced Sampling Theory with Applications, chapter 5, pages 349-528, Springer.
    • Handle: RePEc:spr:sprchp:978-94-007-0789-4_5
    DOI: 10.1007/978-94-007-0789-4_5
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