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Use of ranks in probability propoetional to size sampling
Authors:E. Vasantha Kumar  T. Srivenkataramana  K.P. Sri math
Affiliation:1. Department of Statistics , University of Agricultural Sciences , G.K.V.K, Bangalore, 560 065, India;2. Department of Statistics , Bangalore University , Bangalore, 560 056, IndiaJnana Bharathi Campus;3. Business Survey Methods Division Statistics Canada , Ottawa, Ontario, K1A 0T6, Canada
Abstract:Use of ranks in unequal probability sampling is examined for sample selection, stratification as well as determining the strata boundaries. A few sampling schemes are proposed and investigated, For samples of size two, two sampling schemes and their 1PPS versions are discussed, An extension of these schemes to general sample sizes is outlined. Nonnegative unbiased variance estimators are proposed in each case, An empirical comparison is included.
Keywords:Horvitz-Thompson estimator  IPPS scheme  PPS sampling  ranks as size measure  stratification  Yates-Grundy variance estimator
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