Stochastic optimal design in multivariate stratified sampling

This work considers the allocation problem for multivariate stratified random sampling as a problem of integer non-linear stochastic multiobjective mathematical programming. With this goal in mind the asymptotic distribution of the vector of sample variances is studied. Two alternative approaches ar...

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Published in:Optimization Vol. 63; no. 11; pp. 1665 - 1688
Main Authors: Díaz-García, José A., Ramos-Quiroga, Rogelio
Format: Journal Article
Language:English
Published: Philadelphia Routledge 01.11.2014
Taylor & Francis LLC
Subjects:
Allocations
Asymptotic methods
Asymptotic properties
Design optimization
goal programming
Integer programming
Mathematical analysis
Mathematical problems
Mathematical programming
multiobjective E-model
multiobjective P-model
multiobjective V-model
multivariate stratified random sampling
Optimization
optimum allocation
Random number sampling
Random sampling
Sampling
Stochastic models
stochastic multiobjective programming
Stochasticity
Studies
Vectors (mathematics)
ISSN:0233-1934, 1029-4945
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Abstract This work considers the allocation problem for multivariate stratified random sampling as a problem of integer non-linear stochastic multiobjective mathematical programming. With this goal in mind the asymptotic distribution of the vector of sample variances is studied. Two alternative approaches are suggested for solving the allocation problem for multivariate stratified random sampling. An example is presented by applying the different proposed techniques.
AbstractList This work considers the allocation problem for multivariate stratified random sampling as a problem of integer non-linear stochastic multiobjective mathematical programming. With this goal in mind the asymptotic distribution of the vector of sample variances is studied. Two alternative approaches are suggested for solving the allocation problem for multivariate stratified random sampling. An example is presented by applying the different proposed techniques.
Author Ramos-Quiroga, Rogelio
Díaz-García, José A.
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  givenname: Rogelio
  surname: Ramos-Quiroga
  fullname: Ramos-Quiroga, Rogelio
  organization: Department of Probability and Statistics, Centro de Investigación en Matemáticas , Callejón de Jalisco s/n
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Snippet This work considers the allocation problem for multivariate stratified random sampling as a problem of integer non-linear stochastic multiobjective...
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SubjectTerms Allocations
Asymptotic methods
Asymptotic properties
Design optimization
goal programming
Integer programming
Mathematical analysis
Mathematical problems
Mathematical programming
multiobjective E-model
multiobjective P-model
multiobjective V-model
multivariate stratified random sampling
Optimization
optimum allocation
Random number sampling
Random sampling
Sampling
Stochastic models
stochastic multiobjective programming
Stochasticity
Studies
Vectors (mathematics)
Title Stochastic optimal design in multivariate stratified sampling
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