Statistical inference with empty strata in judgment post stratified samples
type: Item
instance of: scholarly article
title: Statistical inference with empty strata in judgment post stratified samples
zbMATH Open document ID: 1383.62031
author: Omer Ozturk
published in: Annals of the Institute of Statistical Mathematics
publication date: 2017-11-16T00:00:00Z
review text: A judgment post stratified (JPS) sample can be briefly indicated as follows. A JPS sample consists of a simple random sample (SRS) \((X_1,\dots,X_n)\) and a rank vector \(R=(R_1,\dots,R_n)\) associated with \(X_i\), \(i=1,2,\dots,n\) in SRS. The author first constructs a conditional JPS sample with a reduced size \(K\) by conditioning on the ranks of the measured observations of the original JPS sample of set size \(H\geq K\). Then it is shown that the estimators based on the conditional JPS sample for the population mean, median and distribution function, are consistent and have limiting normal distribution. It is further shown that the proposed estimators, unlike the ratio and regression estimators, only require a certain monotonic relationship between response and auxiliary variable. For moderate sample sizes the author uses a bootstrap method to make statistical inference. A small-scale simulation is included to show that the proposed estimators based on reduced set JPS sample perform better than the corresponding estimators based on a regular JPS sample.
reviewed by: Rasul A. Khan
Mathematics Subject Classification ID: 62D05
Mathematics Subject Classification ID: 62G05
zbMATH DE Number: 6807782
zbMATH Keywords: empty strata
zbMATH Keywords: reduced set size, post judgment
zbMATH Keywords: ranking
zbMATH Keywords: stratified sample
zbMATH Keywords: statistical inference
zbMATH Keywords: limiting normal distribution
zbMATH Keywords: regression estimators
describes a project that uses: NSM3
MaRDI profile type: Publication
full work available at URL: s10463-016-0572-y
OpenAlex ID: W2467009497
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DOI: 10.1007/S10463-016-0572-Y
description: scientific article; zbMATH DE number 6807782