Random selection in ranked set sampling and its applications
type: Item
instance of: scholarly article
title: Random selection in ranked set sampling and its applications
zbMATH Open document ID: 0947.62018
DOI: 10.1016/S0378-3758(98)00136-0
published in: Journal of Statistical Planning and Inference
publication date: 2000-10-18T00:00:00Z
review text: The concept of \textit{rank set sampling} is to take \(n\) samples each of size \(n\) and to base statistical inference on \((X_{11},X_{22},\ldots,X_{nn})\), where \(X_{jk}\) is the \(j\) th order statistic in the \(k\) th sample. The new concept random selection in ranked set sampling is to base the inference on \((X_{1k_1},X_{2k_2},\ldots,X_{rk_r})\), where \((k_1,k_2,\ldots,k_r)\) is a random selection of indices \((1,2,\ldots,n)\), \(r\leq n\) fixed. Estimators of the population mean and population variance are proposed and their efficiency is discussed. Applications to normal, exponential, and logistic distributions are given.
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 62D05
Mathematics Subject Classification ID: 62K99
zbMATH DE Number: 1326604
zbMATH Keywords: random sampling
zbMATH Keywords: ranked samples
zbMATH Keywords: ranked set sampling
author: Da-yong Li
author: Bimal Kumar Sinha
author: François Perron
reviewed by: Ryszard Zieliński
MaRDI profile type: Publication
cites work: Q4003586
cites work: Ranked Set Sampling Theory with Order Statistics Background
cites work: Estimation of Location and Scale Parameters of a Logistic Distribution Using a Ranked Set Sample
cites work: LEAST-SQUARES ESTIMATION OF LOCATION AND SCALE PARAMETERS USING ORDER STATISTICS
cites work: Finite population corrections for ranked set sampling
cites work: Q4892803
cites work: Estimation of Variance Using Judgment Ordered Ranked Set Samples
cites work: On unbiased estimates of the population mean based on the sample stratified by means of ordering
full work available at URL: s0378-3758(98)00136-0
OpenAlex ID: W2063757563
description: scientific article; zbMATH DE number 1326604