Order Sampling Design with Prescribed Inclusion Probabilities

Authors: AIRES, NIBIA; JONASSON, JOHAN; NERMAN, OLLE

Source: Scandinavian Journal of Statistics, Volume 29, Number 1, March 2002 , pp. 183-187(5)

Publisher: Wiley-Blackwell

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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.

Keywords: order sampling; Pareto πps sampling

Document Type: Original article

DOI: http://dx.doi.org/10.1111/1467-9469.00120

Affiliations: 1: Chalmers University of Technology

Publication date: 2002-03-01

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