ON CLASSES OF UNBIASED SAMPLING STRATEGIES

Authors

  • Shashi Bhushan Department of Statistics, PUC Campus, Mizoram University, Aizawl – Mizoram, India.
  • Shubhra Katara Department of Statistics, Bareilly College, Bareilly, U.P., India.

Keywords:

Ratio estimator, Variance, Unbiasedness, Mean square error.

Abstract

In this paper, we have proposed to use two classes of sampling strategies based on the modified ratio estimator using the standard deviation and the coefficient of skewness of the auxiliary variable by Singh (2003) for estimating the population mean (total) of the study variable in a finite population. The properties of the proposed sampling strategies are studied and some concluding remarks are given. Also, an empirical study is included as an illustration.

Downloads

Download data is not yet available.

References

Gray H. L. and Schucany W. R. (1972). The Generalized Jack-knife Statistic,

Marcel Dekker, New York.

Lahiri D. B. (1951). A method of sample selection providing unbiased ratio

estimates, Bull. Int. Stat. Inst., 3, p. 133-140.

Midzuno H. (1952). On the sampling system with probability proportional to the

sum of the sizes, Ann. Inst. Stat. Math., 3, p. 99-107.

Murthy M. N. (1967). Sampling theory and methods, Statistical Publishing Society,

Calcutta, India.

Quenouille M. H. (1956). Notes on bias in estimation, Biometrika, 43, p. 353-360.

Reddy V. N. (1973). On ratio and product methods of estimation, Sankhya, B,

(3), p. 307 – 316.

Sen A. R. (1952). Present status of probability sampling and its use in the

estimation of a characteristic, Econometrika, 20, p. 103.

Senapati S. C., Sahoo L. N. and Misra G. (2006). On a Scheme of Sampling of Two

Units With Inclusion Probability Proportional to Size, Austrian Journal of

Statistics, 35(4), p. 445–454.

Singh G. N. (2003). On the improvement of product method of estimator in sample

surveys, J. I. S. A. S., 56(3), p. 267-275.

Singh H. P., Singh R., Espejo M. R., Pineda M. D. and Nadarajah S. (2005). On

The Efficiency Of A Dual To Ratio-Cum-Product Estimator In Sample Surveys,

Mathematical Proceedings of the Royal Irish Academy, 105A (2), p. 51–56.

Singh D. and Chaudhary F. S. (1986). Theory and analysis of sampling survey

design, Wiley Eastern Limited, New Delhi.

Sukhatme P. V. and Sukhatme B. V. (1997). Sampling Theory of Surveys with

Applications, Piyush Publications, Delhi.

Walsh J. E. (1970). Generalization of ratio estimator for population total, Sankhya,

A, 32, p. 99-106.

Downloads

Published

2010-12-01

How to Cite

Bhushan, S. ., & Katara, S. . (2010). ON CLASSES OF UNBIASED SAMPLING STRATEGIES. Journal of Reliability and Statistical Studies, 3(02), 93–101. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/22025

Issue

Section

Articles