Ratio-Cum-Product Type of Exponential Estimator for the Population Mean in Simple Random Sampling using the Information of Auxiliary Variable

Authors

  • Napattchan Dansawad Department of Applied Mathematics, Faculty of Science and Technology, Valaya Alongkorn Rajabhat University under the Royal Patronage, Phathum Thani

Abstract

 This paper presents ratio-cum-dual to product type of exponential estimator for the population mean using known value of auxiliary information under simple random sampling scheme. We have adapted the estimator suggested by Singh and Pal (2015). Furthermore, some important properties of the proposed estimator such as the Bias and the Mean-Squared Error (MSE) and its minimum value (MMSE) have been obtained. Efficiency comparisons between the proposed estimator and other existing estimators are also carried out in support of numerical and theoretical findings. The results of this study showed that the proposed estimator is more efficient as compared to all other existing estimators.                                                Keywords :  ratio estimator, product estimator, population mean, bias, Mean Squared Error

References

Bahl, S. & Tuteja, R.K. (1991). Ratio and product type exponential estimator. Journal of Information and Optimization Sciences, 12, 159-163.
Cochran, W. G. (1977). Sampling Techniques. (3rd ed). New York : John Wiley & Sons.
Murthy, M. N. (1967). Sampling Theory and Methods. India : Statistical Publishing Society. Calcutta.
Singh, H. P. & Pal, S. K. (2015). A New Chain Ratio-Ratio-Type Exponential Estimator Using Auxiliary Information in Sample Surveys. International Journal of Mathematics And Its Applications, 3, 37-46.
Steel RGD, Torrie, JH. (1960). Principles and Procedures of Statistics. New York : Mc. Graw-Hill.


Steel RGD, Torrie, JH. (1960). Principles and Procedures of Statistics. New York : Mc. Graw-Hill.

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Published

2020-05-01

Issue

Burapha Science Journal Volume 25 (No.2) May - August 2020

Section

Research Article