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Use of Auxiliary Information: Simple Random Sampling

Sarjinder Singh
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Sarjinder Singh: St. Cloud State University, Department of Statistics

Chapter 3 in Advanced Sampling Theory with Applications, 2003, pp 137-294 from Springer

Abstract: Abstract It is well known that suitable use of auxiliary information in probability sampling results in considerable reduction in the variance of the estimators of population parameters viz. population mean (or total), median, variance, regression coefficient, and population correlation coefficient, etc.. In this chapter we will consider the problem of estimation of different population parameters of interest to survey statisticians using known auxiliary information under SRSWOR and SRSWR sampling schemes only. Before proceeding further it is necessary to define some notation and expected values, which will be useful throughout this chapter.

Keywords: Mean Square Error; Auxiliary Variable; Minimum Mean Square Error; Simple Random Sampling; Ratio Estimator (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-007-0789-4_3

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DOI: 10.1007/978-94-007-0789-4_3

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