A central limit theorem for certain nonlinear statistics in repeated sampling of a finite population

D. L. Hawkins and Chien-Pai Han

Statistics & Probability Letters, 1998, vol. 39, issue 1, 25-34

Abstract: We prove a central limit theorem for the asymptotic joint distribution of non-linear statistics of the form [summation operator]l = 1N XNltItlIt+1,l, 1 [less-than-or-equals, slant] t [less-than-or-equals, slant] r - 1, and linear statistics of the form [summation operator]l = 1N XNltItl, 1 [less-than-or-equals, slant] t [less-than-or-equals, slant] r, based on independent repeated samples of a finite population of size N with sample indicators Itl,l = 1, ..., N, for the tth sample.

Keywords: Capture-recapture; Dual-system; estimation; Asymptotic; distribution (search for similar items in EconPapers)
Date: 1998
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