Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 2

Estimation of population distribution function in the presence of non-response

Pages
471–511
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

A numerical study is carried out to evaluate the performances of estimators.

📌 3 Key Takeaways

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Objective & Hypothesis:This article addresses the problem of estimating the population distribution function in the presence of non-response.
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Key Findings & Data:The performance of estimators are compared theoretically and numerically.
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Conclusion & Impact:A numerical study is carried out to evaluate the performances of estimators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Auxiliary variable · absolute relative bias · cumulative distribution function

Abstract

This article addresses the problem of estimating the population distribution function in the presence of non-response. We suggest a general class of estimators for estimating the cumulative distribution function using the auxiliary information. Expressions for bias and mean squared error of considered estimators are derived up to the first order of approximation. The performance of estimators are compared theoretically and numerically. A numerical study is carried out to evaluate the performances of estimators.

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Cite This Article

SHABBIR, J., YAQUB, M. (2022). Estimation of population distribution function in the presence of non-response. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 2, 471–511. https://ajindex.com/articles/529863

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References (1)

  1. Ahmed, M. S. and Abu-Dayyeh, W. (2001). Estimation of nite population dis- tribution function using multivariate auxiliary information. Statistics in Transition, 3:501507. Chambers, R., Dunstan, A. H., and Hall, P. (1992). Properties of estimators of nite population distribution function. Biometrika, 79(3):577582. Chambers, R. and Dunstan, R. (1986). Estimating distribution function from survey data. Biometrika, 72:597604. Diana, G. and Perri, P. F. (1953). On probability mechanism to attain an economic balance between the resultant error of response and bias of non-response. Journal of the American Statistical Association, 48(264):743772. Diana, G. and Perri, P. F. (2012). A class of estimators in two-phase sampling with sub-sampling the non-respondents. Applied Mathematics and Computation, 40:139148. Dorfman, A. H. (1993). A comparison of design-based and model-based estimators fo the nite population distribution function. Australian Journal of Statistics, 35:2941. Dunkelberg, W. C. and Goerge, S. D. (1973). Nonresponse bias and call backs in sample surveys. Journal of Marketing Research, 10(2):160168. El-Badry, M. A. (1956). A sampling procedure for mailed questionnaire. Journal of the American Statistical Association, 51(274):209227. Garcia, M. R. and Cebrian, A. A. (1998). Quantile interval estimation in nite population using a multivariate ratio estimator. Metrika, 47:203213. Gross, S. T. (1980). Median estimation in sample surveys. American Statistical Association, pages 181184. Hansen, M. H. and Hurwitz, W. N. (1946). The problem of non response in sample surveys. Journal of the American Statistical Association, 41:517529. Hansen, M. H., Hurwitz, W. N., Marks, E. S., and Mauldin, P. K. (1951). Response errors in surveys. Journal of the American Statistical Association, 46(254):147190. John, A. C. and Robert, N. F. (1947). Controlling bias in mail questionnaires. Journal of the American Statistical Association, 42(240):497511. Khare, B. B. and Sinha, R. R. (2007). Estimation of ratio of the two population means using multi-auxiliary characters in the presence of non-response. Narosa Pub- lishing House, New Delhi, India, 10(3):314. Khare, B. B. and Sinha, R. R. (2009). On class of estimators for population mean using multi-auxiliary characters in the presence of non-response. Applied Mathematics and Computation, 10(3):4556. Khare, B. B. and Sinha, R. R. (2011). Estimation of population mean using multi- auxiliary characters with subsam