Asymptotic normality for two-stage sampling from a finite population
type: Item
instance of: scholarly article
title: Asymptotic normality for two-stage sampling from a finite population
zbMATH Open document ID: 0661.62007
DOI: 10.1007/BF00340058
author: Esbjörn Ohlsson
publication date: 1989-01-01T00:00:00Z
review text: We consider two-stage sampling from a finite population, and associated estimators of the population total, in a general setting which includes most two-stage procedures in the literature. The main result gives general conditions for asymptotic normality of the estimators. The proof is based on a martingale central limit theorem. It is indicated how the result can be extended to multi-stage procedures.
Mathematics Subject Classification ID: 62D05
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 4080610
zbMATH Keywords: two-stage sampling
zbMATH Keywords: finite population
zbMATH Keywords: estimators of the population total
zbMATH Keywords: general conditions for asymptotic normality
zbMATH Keywords: martingale central limit theorem
zbMATH Keywords: multi-stage procedures
MaRDI profile type: Publication
cites work: Q4124103
cites work: Martingale convergence to mixtures of infinitely divisible laws
cites work: Q4178320
cites work: Successive sampling in large finite populations
cites work: Q3285069
cites work: Some Extensions of the Wald-Wolfowitz-Noether Theorem
cites work: Asymptotic Theory of Rejective Sampling with Varying Probabilities from a Finite Population
cites work: Q3911791
cites work: Some limit theorems with applications in sampling theory
cites work: Q4057936
cites work: Q3793502
cites work: Q3849357
cites work: Q4164640
cites work: On the central limit theorem for a class of sampling procedures
cites work: Asymptotic Theory for Successive Sampling with Varying Probabilities Without Replacement, I
cites work: Limit Theorems for an Extended Coupon Collector's Problem and for Successive Subsampling with Varying Probabilites*
full work available at URL: https://doi.org/10.1007/bf00340058
OpenAlex ID: W1977792067
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Recommended article: Q5457406
Recommended article: A proof of the asymptotic normality of the inverse sampling estimator in finite population sampling
Recommended article: Q4824052
Recommended article: On the asymptotic normality of finite population \(L\)-statistics
Recommended article: Optimal estimation for finite population mean in two-phase sampling
Recommended article: Rate of convergence of the asymptotic normality of sample quantiles from a finite population
Recommended article: Asymptotic theory for a two-stage procedure in sequential interval estimation of a normal mean
Recommended article: Chapter 10 Finite samples and asymptotics
Recommended article: The Asymptotic Normality of Two-Stage Least Absolute Deviations Estimators
description: scientific article; zbMATH DE number 4080610