Estimation of population distribution function in the presence of non-response using stratified random sampling

This article addresses the problem of estimating the population distribution function for stratified random sampling in the presence of non-response. We suggest a generalized class of estimators for estimating the finite cumulative distribution function using the auxiliary information. Expressions f...

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Published inCommunications in statistics. Simulation and computation Vol. 53; no. 5; pp. 2498 - 2526
Main Authors Yaqub, Mazhar, Sohil, Fariha, Shabbir, Javid, Sohail, Muhammad Umair
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 03.05.2024
Taylor & Francis Ltd
Subjects
Absolute relative bias
Auxiliary variable
Cumulative distribution function
Distribution functions
Estimation
Estimators
Mean squared error
Population distribution
Population statistics
Primary 62D05
Random sampling
Relative efficiency
Secondary 62P20
Online AccessGet full text
ISSN0361-0918
1532-4141
DOI10.1080/03610918.2022.2078492

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Abstract This article addresses the problem of estimating the population distribution function for stratified random sampling in the presence of non-response. We suggest a generalized class of estimators for estimating the finite cumulative distribution function using the auxiliary information. Expressions for bias and mean squared error are derived up to the first order of approximation. The performance of the estimators are compared both theoretically and numerically. A real data set is used to support the theoretical findings.
AbstractList This article addresses the problem of estimating the population distribution function for stratified random sampling in the presence of non-response. We suggest a generalized class of estimators for estimating the finite cumulative distribution function using the auxiliary information. Expressions for bias and mean squared error are derived up to the first order of approximation. The performance of the estimators are compared both theoretically and numerically. A real data set is used to support the theoretical findings.
Author Shabbir, Javid
Sohail, Muhammad Umair
Sohil, Fariha
Yaqub, Mazhar
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  fullname: Sohil, Fariha
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  givenname: Javid
  surname: Shabbir
  fullname: Shabbir, Javid
  organization: Department of Statistics, Quaid-i-Azam University
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  givenname: Muhammad Umair
  surname: Sohail
  fullname: Sohail, Muhammad Umair
  organization: Department of Statistics, University of Narowal
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SubjectTerms Absolute relative bias
Auxiliary variable
Cumulative distribution function
Distribution functions
Estimation
Estimators
Mean squared error
Population distribution
Population statistics
Primary 62D05
Random sampling
Relative efficiency
Secondary 62P20
Title Estimation of population distribution function in the presence of non-response using stratified random sampling
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