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Biometrika 1984 71(3):642-644; doi:10.1093/biomet/71.3.642
© 1984 by Biometrika Trust
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MISCELLANEA

Second-order inclusion probabilities in sequential sampling without replacement with unequal probabilities

JELKE G. BETHLEHEM and MAARTEN H. SCHUERHOFF

Netherlands Central Bureau of Statistics Voorburg, Netherlands

Necessary and sufficient conditions for strictly positive second-order inclusion probabilities are given for a sequential sampling scheme proposed by Chao (1982), in which elements are selected without replacement and with unequal probabilities.

Key Words: Sampling without replacement • Sequential sampling • Unequal probability sampling • Variance estimation


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