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Order Sampling Design with Prescribed Inclusion Probabilities
Author(s) -
AIRES NIBIA,
JONASSON JOHAN,
NERMAN OLLE
Publication year - 2002
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/1467-9469.00120
Subject(s) - mathematics , sampling (signal processing) , distribution (mathematics) , uniqueness , order (exchange) , inclusion (mineral) , statistics , order statistic , sampling design , mathematical optimization , mathematical analysis , computer science , gender studies , population , demography , filter (signal processing) , finance , sociology , economics , computer vision
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.