ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES

Javid Shabbir; Sat Gupta

Research Article

Year 2026, Issue: Advanced Online Publication, 121 - 129, 03.07.2019

Javid Shabbir Sat Gupta

Abstract

References

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ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES

Year 2026, Issue: Advanced Online Publication, 121 - 129, 03.07.2019

Javid Shabbir Sat Gupta

Abstract

We consider the problem of estimating the finite population mean in
two phase sampling when some information on auxiliary attributes is
available. It is shown that the proposed estimator is more efficient than
the usual mean estimator, the S. Bahl and R. K. Tuteja (Ratio and product type exponential estimators, Information and Optimization Sciences
12 (1), 159–163, 1991) estimator and a family of estimators considered
by H. S. Jhajj et al (A family of estimators of population mean using information on auxiliary attribute, Pakistan Journal of Statistics 22 (1),
43–50, 2006). Two numerical examples are considered to furth

Keywords

Two-phase sampling , Attribute , Point bi-serial correlation , Phi correlation , Efficiency

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Research Article
Authors	Javid Shabbir This is me Sat Gupta
Early Pub Date	December 16, 2025
Publication Date	July 3, 2019
Published in Issue	Year 2026 Issue: Advanced Online Publication

Cite

APA	Shabbir, J., & Gupta, S. (2025). ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES. Hacettepe Journal of Mathematics and Statistics(Advanced Online Publication), 121-129.
AMA	Shabbir J, Gupta S. ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES. Hacettepe Journal of Mathematics and Statistics. December 2025;(Advanced Online Publication):121-129.
Chicago	Shabbir, Javid, and Sat Gupta. “ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication (December 2025): 121-29.
EndNote	Shabbir J, Gupta S (December 1, 2025) ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication 121–129.
IEEE	J. Shabbir and S. Gupta, “ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, pp. 121–129, December2025.
ISNAD	Shabbir, Javid - Gupta, Sat. “ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES”. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication (December2025), 121-129.
JAMA	Shabbir J, Gupta S. ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES. Hacettepe Journal of Mathematics and Statistics. 2025;:121–129.
MLA	Shabbir, Javid and Sat Gupta. “ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, 2025, pp. 121-9.
Vancouver	Shabbir J, Gupta S. ESTIMATION OF THE FINITE POPULATION MEAN IN TWO PHASE SAMPLING WHEN AUXILIARY VARIABLES ARE ATTRIBUTES. Hacettepe Journal of Mathematics and Statistics. 2025(Advanced Online Publication):121-9.