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Activity Number:
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347
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Type:
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Invited
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Date/Time:
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Tuesday, August 4, 2009 : 2:00 PM to 3:50 PM
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Sponsor:
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Memorial
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| Abstract - #302918 |
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Title:
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Some Generalizations of the Horvitz-Thompson Estimator
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Author(s):
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James R. Chromy*+
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Companies:
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RTI International
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Address:
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3040 Cornwallis Road, PO Box 12194, Research Triangle Park, NC, 27709,
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Keywords:
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PPS with replacement ; PPS without replacement ; linear estimates ; unbiased variance esitmates ; PPS with mimimum replacement
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Abstract:
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Horvitz and Thompson (1952) develop a theory for PPS sampling and estimation when sampling is PPS without replacement. The estimation procedure weights each selected observation by the inverse of the unit's overall selection probability and the unit's weight does not depend on the particular sample in which it was selected. They also show that nonzero pairwise probabilities are required for unbiased variance estimation. This paper shows how the Horvitz-Thompson PPS without replacement estimator and its variance are related to the PPS with replacement estimator and its variance as presented by Hansen, Hurwitz, and Madow. It also shows how this generalization can be related to minimum replacement designs which allow sampling units with large relative size measures (greater than 1/n) to be selected more than once.
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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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