\(L_ 1\)-norm and other methods for sample allocation in multivariate stratified surveys
type: Item
instance of: scholarly article
title: \(L_ 1\)-norm and other methods for sample allocation in multivariate stratified surveys
zbMATH Open document ID: 0623.62004
DOI: 10.1016/0167-9473(87)90064-8
author: Alemayehu Melaku
author: G. Sadasivan
published in: Computational Statistics and Data Analysis
publication date: 1987-01-01T00:00:00Z
review text: In this work three different methods are developed for allocation of fixed sample size to different strata jointly for several characters. The first uses the minimization of total cost for fixed variance of the sum of estimated means of the several characters. The second solution is obtained as the minimization of an \(L_ 1\)-norm subject to certain linear constraints. The third frames the problem as one of minimization of \(L_ 2\)-norm, the solution of which is obtained through a quadratic programming algorithm. The merits of the methods developed are compared with some of the existing methods, through a numerical example.
Mathematics Subject Classification ID: 62D05
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C20
zbMATH DE Number: 4011634
zbMATH Keywords: L1-norm minimization
zbMATH Keywords: L2-norm minimization
zbMATH Keywords: stratified sampling
zbMATH Keywords: allocation of fixed sample size
zbMATH Keywords: minimization of total cost
zbMATH Keywords: fixed variance
zbMATH Keywords: sum of estimated means
zbMATH Keywords: linear constraints
MaRDI profile type: Publication
full work available at URL: 0167-9473(87)90064-8
OpenAlex ID: W1546769246
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description: scientific article; zbMATH DE number 4011634