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Register a new userApproximation of rejective sampling inclusion probabilities and application to high order correlations
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H\\'el\\`ene Boistard
Publication date
2012
fields
Mathematical Statistics
and research's language is
English
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This paper is devoted to rejective sampling. We provide an expansion of joint inclusion probabilities of any order in terms of the inclusion probabilities of order one, extending previous results by Hajek (1964) and Hajek (1981) and making the remainder term more precise. Following Hajek (1981), the proof is based on Edgeworth expansions. The main result is applied to derive bounds on higher order correlations, which are needed for the consistency and asymptotic normality of several complex estimators.
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