On the inclusion probabilities in some unequal probability sampling plans without replacement

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On the inclusion probabilities in some unequal probability sampling plans without replacement

Comparison results are obtained for the inclusion probabilities in some unequal probability sampling plans without replacement. For either successive sampling or Hájek’s rejective sampling, the larger the sample size, the more uniform the inclusion probabilities in the sense of majorization. In particular, the inclusion probabilities are more uniform than the drawing probabilities. For the same...

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More than 50 methods have been developed to draw unequal probability samples with fixed sample size. All these methods require the sum of the inclusion probabilities to be an integer number. There are cases, however, where the sum of desired inclusion probabilities is not an integer. Then, classical algorithms for drawing samples cannot be directly applied. We present two methods to overcome th...

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In the method of successive sampling, a sample of n distinct units is drawn from a population of N units one at a time. Each unit i is drawn with a fixed selection probability pi and any repeated units are ignored. When the pi are proportional to a given size measure, this is called probability proportional to size without replacement (PPSWOR). The first order inclusion probabilities πi of each...

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ژورنال

عنوان ژورنال: Bernoulli

سال: 2012

ISSN: 1350-7265

DOI: 10.3150/10-bej337