Smoothed Versions of Statistical Functionals from a Finite Population

We will consider the central limit theorem for the smoothed version of statistical functionals in a finite population. For the infinite population, Reeds (1976) and Fernholz (1983) discuss the problem under the conditions of Hadamard differentiability of the statistical functionals and derive Taylor...

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Veröffentlicht in:	JOURNAL OF THE JAPAN STATISTICAL SOCIETY 2009/02/24, Vol.38(3), pp.475-504
Hauptverfasser:	Motoyama, Hitoshi, Takahashi, Hajime
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic normality central limit theorem differentiable functional empirical distribution function finite population functional Taylor series expansions Hadamard differentiable influence function kernel smoothing official statistics opinion poll simple random sampling statistical functional survey sampling uniform topology
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