IMPROVED ESTIMATION OF FINITE POPULATION MEDIAN UNDER TWO-PHASE SAMPLING WHEN USING TWO AUXILIARY VARIABLES

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SHABBIR J.; GUPTA S.; HUSSAIN Z.

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Journal Paper

Paper Information

Journal: Scientia Iranica Year:2015 | Volume:22 | Issue:3 (TRANSACTIONS E: INDUSTRIAL ENGINEERING) Page(s): 1271-1277

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Information Journal Paper

Title

IMPROVED ESTIMATION OF FINITE POPULATION MEDIAN UNDER TWO-PHASE SAMPLING WHEN USING TWO AUXILIARY VARIABLES

Author(s)

SHABBIR J. | GUPTA S. | HUSSAIN Z. | Issue Writer Certificate

Keywords

AUXILIARY VARIABLES

MEAN SQUARED ERROR (MSE)

MEDIAN

EFFICIENCY

Abstract

We propose an efficient estimator for population MEDIAN under two-phase sampling when using two AUXILIARY VARIABLES on the lines of Diana [Diana, G. \A class of estimators of the population mean in stratified random sampling", Statistica, 53(1), pp. 59-66 (1993)] and Jhajj and Walia [Jhajj, H.S. and Walia, G.S. \A generalized difference cum- ratio type estimator for the population variance in double sampling", Communications in Statistics-Simulations and Computation, 41, pp. 58-64 (2012)]. The expressions for mean squared errors are presented, correct to the first order of approximation. Both theoretical and numerical comparisons reveal that the proposed estimator performs better than the unbiased sample MEDIAN estimator, ratio estimator, and estimators by Srivastava et al. [Srivastava, S.K., Rani, S., Khare, B.B., and Srivastava, S.R. \A generalized chain ratio estimator for mean of finite population", Journal of the Indian Society of Agricultural Statistics, 42(1), pp. 108-117 (1990)] and Gupta et al. [Gupta, S., Shabbir, J., Ahmad, S. \Estimation of MEDIAN in two-phase sampling using two AUXILIARY VARIABLES", Communications in Statistics-Theory and Methods, 37(11), pp. 1815-1822 (2008)].

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APA: Copy

SHABBIR, J., GUPTA, S., & HUSSAIN, Z.. (2015). IMPROVED ESTIMATION OF FINITE POPULATION MEDIAN UNDER TWO-PHASE SAMPLING WHEN USING TWO AUXILIARY VARIABLES. SCIENTIA IRANICA, 22(3 (TRANSACTIONS E: INDUSTRIAL ENGINEERING)), 1271-1277. SID. https://sid.ir/paper/290329/en

Vancouver: Copy

SHABBIR J., GUPTA S., HUSSAIN Z.. IMPROVED ESTIMATION OF FINITE POPULATION MEDIAN UNDER TWO-PHASE SAMPLING WHEN USING TWO AUXILIARY VARIABLES. SCIENTIA IRANICA[Internet]. 2015;22(3 (TRANSACTIONS E: INDUSTRIAL ENGINEERING)):1271-1277. Available from: https://sid.ir/paper/290329/en

IEEE: Copy

J. SHABBIR, S. GUPTA, and Z. HUSSAIN, “IMPROVED ESTIMATION OF FINITE POPULATION MEDIAN UNDER TWO-PHASE SAMPLING WHEN USING TWO AUXILIARY VARIABLES,” SCIENTIA IRANICA, vol. 22, no. 3 (TRANSACTIONS E: INDUSTRIAL ENGINEERING), pp. 1271–1277, 2015, [Online]. Available: https://sid.ir/paper/290329/en

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