Estimation of finite population distribution function with auxiliary information in a complex survey sampling

In this paper, we consider the problem of estimating the finite population cumulative distribution function (CDF) in a complex survey sampling, which includes two-stage and three-stage cluster sampling schemes with and without stratification. We propose two new families of CDF estimators using suppl...

Descripción completa

Detalles Bibliográficos
Autores: Abbas, Mohsin, Haq, Abdul
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/397829
Acceso en línea:https://hdl.handle.net/2117/397829
https://dx.doi.org/10.2436/20.8080.02.118
Access Level:acceso abierto
Palabra clave:Sampling (Statistics)
Mathematical statistics
ratio estimator
exponential ratio estimator
auxiliary information
stratification
two-stage and three-stage cluster sampling
relative efficiencies
bias
mean-squared error
62F Inferència paramètrica
62D05 Teoria del mostreig, enquestes de mostreig
Classificació AMS::62 Statistics::62D05 Sampling theory, sample surveys
Classificació AMS::62 Statistics::62F Parametric inference
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
id ES_382d9a22cbdaf6ba151b3f8d47dfcb79
oai_identifier_str oai:upcommons.upc.edu:2117/397829
network_acronym_str ES
network_name_str España
repository_id_str
spelling Estimation of finite population distribution function with auxiliary information in a complex survey samplingAbbas, MohsinHaq, AbdulSampling (Statistics)Mathematical statisticsratio estimatorexponential ratio estimatorauxiliary informationstratificationtwo-stage and three-stage cluster samplingrelative efficienciesbiasmean-squared error62F Inferència paramètrica62D05 Teoria del mostreig, enquestes de mostreigClassificació AMS::62 Statistics::62D05 Sampling theory, sample surveysClassificació AMS::62 Statistics::62F Parametric inferenceÀrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàticaIn this paper, we consider the problem of estimating the finite population cumulative distribution function (CDF) in a complex survey sampling, which includes two-stage and three-stage cluster sampling schemes with and without stratification. We propose two new families of CDF estimators using supplementary information on a single auxiliary variable. Explicit mathematical expressions of the biases and mean squared errors of the proposed CDF estimators are developed under the frst order of the approximation. Real datasets are also considered to support the proposed theory.Peer ReviewedInstitut d'Estadística de Catalunya20222022-06-0220232023-12-12journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/397829https://dx.doi.org/10.2436/20.8080.02.118reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3978292026-05-27T15:37:01Z
dc.title.none.fl_str_mv Estimation of finite population distribution function with auxiliary information in a complex survey sampling
title Estimation of finite population distribution function with auxiliary information in a complex survey sampling
spellingShingle Estimation of finite population distribution function with auxiliary information in a complex survey sampling
Abbas, Mohsin
Sampling (Statistics)
Mathematical statistics
ratio estimator
exponential ratio estimator
auxiliary information
stratification
two-stage and three-stage cluster sampling
relative efficiencies
bias
mean-squared error
62F Inferència paramètrica
62D05 Teoria del mostreig, enquestes de mostreig
Classificació AMS::62 Statistics::62D05 Sampling theory, sample surveys
Classificació AMS::62 Statistics::62F Parametric inference
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
title_short Estimation of finite population distribution function with auxiliary information in a complex survey sampling
title_full Estimation of finite population distribution function with auxiliary information in a complex survey sampling
title_fullStr Estimation of finite population distribution function with auxiliary information in a complex survey sampling
title_full_unstemmed Estimation of finite population distribution function with auxiliary information in a complex survey sampling
title_sort Estimation of finite population distribution function with auxiliary information in a complex survey sampling
dc.creator.none.fl_str_mv Abbas, Mohsin
Haq, Abdul
author Abbas, Mohsin
author_facet Abbas, Mohsin
Haq, Abdul
author_role author
author2 Haq, Abdul
author2_role author
dc.subject.none.fl_str_mv Sampling (Statistics)
Mathematical statistics
ratio estimator
exponential ratio estimator
auxiliary information
stratification
two-stage and three-stage cluster sampling
relative efficiencies
bias
mean-squared error
62F Inferència paramètrica
62D05 Teoria del mostreig, enquestes de mostreig
Classificació AMS::62 Statistics::62D05 Sampling theory, sample surveys
Classificació AMS::62 Statistics::62F Parametric inference
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
topic Sampling (Statistics)
Mathematical statistics
ratio estimator
exponential ratio estimator
auxiliary information
stratification
two-stage and three-stage cluster sampling
relative efficiencies
bias
mean-squared error
62F Inferència paramètrica
62D05 Teoria del mostreig, enquestes de mostreig
Classificació AMS::62 Statistics::62D05 Sampling theory, sample surveys
Classificació AMS::62 Statistics::62F Parametric inference
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
description In this paper, we consider the problem of estimating the finite population cumulative distribution function (CDF) in a complex survey sampling, which includes two-stage and three-stage cluster sampling schemes with and without stratification. We propose two new families of CDF estimators using supplementary information on a single auxiliary variable. Explicit mathematical expressions of the biases and mean squared errors of the proposed CDF estimators are developed under the frst order of the approximation. Real datasets are also considered to support the proposed theory.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-06-02
2023
2023-12-12
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/397829
https://dx.doi.org/10.2436/20.8080.02.118
url https://hdl.handle.net/2117/397829
https://dx.doi.org/10.2436/20.8080.02.118
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institut d'Estadística de Catalunya
publisher.none.fl_str_mv Institut d'Estadística de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869406084301586432
score 15,301603

Similares en LA Referencia