Horvitz-Thompson Estimator Based on Theauxiliary Variable

• Autorzy: J. Al-Jararha , Mazen Sulaiman
• Języki publikacji: EN

Abstrakty

EN

In this paper, the Horvitz and Thompson (1952) estimator will be modified; so that, the modified estimators will use the availability of the auxiliary variable. Furthermore, the modified estimators are extended to be used in stratified sampling designs. Empirical studies are given for comparison purposes. (original abstract)

Słowa kluczowe

EN

Estimators; Selection of test methods

PL

Estymatory; Dobór próby badawczej

• Czasopismo: Statistics in Transition
• Rocznik: 2020
• Tom: 21
• Numer: nr 1
• Strony: 37--54

Twórcy

autor

J. Al-Jararha

• Department of Statistics, Yarmouk University, Irbid, Jordan

autor

Mazen Sulaiman

• Department of Statistics, Yarmouk University, Irbid, Jordan

Bibliografia

• AL-JARARHA, J., (2015). A Dual Problem of Calibration of Design Weights Based on Multi-Auxiliary Variables, Communications for Statistical Applications and Methods, 22(2), pp. 137-146.
• AL-YASEEN, A., (2014). Penalized Chi-Square Distance and the Dual Calibration for Estimating the Finite Population Total, Master Thesis. Statistics Deperatment. Yarmouk University, Jordan.
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• GODAMBE, V. P., (1955). A Unified Theory of Sampling from Finite Populations, J. Roy. Statist. Soc., B17, pp. 269-278.
• HORVITZ, D. G., THOMPSON, D. J., (1952). A generalization of sampling without replacement from a finite universe, Journal of the American Statistical Association, 47, pp. 663-685.
• LOHR, S. L. (2010). Sampling: Design and Analysis (2nd ed.), Boston: Brooks/Cole, Cengage Learning.
• NIDHI, B. V. S., SISODIA, S. SINGH, SINGH S. K., (2017). Calibration approach estimation of the mean in stratified sampling and stratified double sampling, Communications in Statistics - Theory and Methods, 46(10), pp. 4932-4942.
• OZGUL, N., (2018). New calibration estimator based on two auxiliary variables in stratified sampling. Communications in Statistics - Theory and Methods, doi = 10.1080/03610926.2018.1433852, pp. 1-12.
• SCHEAFFER, R. L., MENDENHALL, W., OTT, R. L. (2006). Elementary Survey Sampling (6th ed.), Belmont, CA: Duxbury.
• SINGH, S., (2013). A Dual Problem of Calibration of Design Weights, Statistics: A Journal of Theoretical and Applied Statistics, 47(3), pp. 566-574.
• STEARNS, M., S. SINGH, (2008). On the estimation of the general parameter, Computational Statistics Data Analysis, 52, pp. 4253-4271.
• SUGDEN, R., SMITH T., (2002). Exact linear unbiased estimation in survey sampling, Journal of Statistical Planning and Inference, 102 (1), pp. 25-38.

Identyfikatory

DOI

10.21307/stattrans-2020-003