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On Sampling with Prescribed Second‐order Inclusion Probabilities
Author(s) -
BONDESSON LENNART
Publication year - 2012
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/j.1467-9469.2012.00808.x
Subject(s) - mathematics , statistics , poisson distribution , sampling (signal processing) , sampling design , sample size determination , quadratic equation , focus (optics) , order (exchange) , poisson sampling , importance sampling , slice sampling , monte carlo method , computer science , population , physics , demography , geometry , filter (signal processing) , finance , sociology , optics , economics , computer vision
. Methods to perform fixed size sampling with prescribed second‐order inclusion probabilities are presented. The focus is on a conditional Poisson design of order 2, a CP(2) design. It is an exponential design of quadratic type and it is carefully studied. In particular, methods to find the suitable values of the parameters and methods to sample are described. Small examples illustrate.