Edgeworth expansions for sampling without replacement from finite populations

G. Jogesh Babu and Kesar Singh

Journal of Multivariate Analysis, 1985, vol. 17, issue 3, 261-278

Abstract: The validity of the one-term Edgeworth expansion is proved for the multivariate mean of a random sample drawn without replacement under a limiting non-latticeness condition on the population. The theorem is applied to deduce the one-term expansion for the univariate statistics which can be expressed in a certain linear plus quadratic form. An application of the results to the theory of bootstrap is mentioned. A one-term expansion is also proved in the univariate lattice case.

Keywords: edgeworth; expansions; sampling; without; replacement; weak; convergence; characteristic; functions; ratio; estimators; lattice; distributions; rank; tests (search for similar items in EconPapers)
Date: 1985
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Citations: View citations in EconPapers (7)

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