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Order Sampling Design with Prescribed Inclusion Probabilities

Author

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  • NIBIA AIRES
  • JOHAN JONASSON
  • OLLE NERMAN

Abstract

Order sampling with fixed distribution shape is a class of sampling schemes with inclusion probabilities approximately proportional to given size measures. In a recent article, methods were provided to compute the exact first and second order inclusion probabilities numerically when the distribution shape is of the Pareto type. In the same article, procedures were also provided for this case to adjust the parameters to get predetermined inclusion probabilities. In this paper we prove the existence and uniqueness of a solution for the latter problem, in general for any order sampling of fixed distribution shape.

Suggested Citation

  • Nibia Aires & Johan Jonasson & Olle Nerman, 2002. "Order Sampling Design with Prescribed Inclusion Probabilities," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 29(1), pages 183-187, March.
    • Handle: RePEc:bla:scjsta:v:29:y:2002:i:1:p:183-187
    DOI: 10.1111/1467-9469.00120
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