Use of transformed auxiliary variable in estimating the finite population mean

Biometrical Journal

Volumn 41, Issue 5, 1999, Pages 627-636

  Upadhyaya, Lakshmi N ^a,b   Singh, Housila P ^a  

^a VIKRAM UNIVERSITY   (India)

^b INDIAN SCHOOL OF MINES   (India)

Author keywords

Bias; Coefficient of kurtosis; Coefficient of variation; Finite population mean; Mean squared error; Transformed auxiliary variable

Indexed keywords

AUXILIARY VARIABLES; BIAS; COEFFICIENT OF KURTOSIS; COEFFICIENTS OF VARIATIONS; FINITE POPULATION; FINITE POPULATION MEAN; MEAN SQUARED ERROR; STUDY CHARACTER; TRANSFORMED AUXILIARY VARIABLE; UNBIASED ESTIMATOR;

MEAN SQUARE ERROR;

EID: 0033445439     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4036(199909)41:5<627::AID-BIMJ627>3.0.CO;2-W     Document Type: Article

References (14)

1. COCHRAN, W. G., 1977: Sampling Techniques. John Wiley and Sons, New York.
2. DAS, A. K. and TRIPATHI, T. P., 1981: A class of sampling strategies for population mean using information on mean and variance of an auxiliary character. Proceedings of the I.S.I. Golden Jubilee International Conference on Statistics: Applications and New directions. Calcutta, 16-19 Dec., 1981, 174-181.
3. DAS, A. K., 1988: Contributions to the theory of sampling strategies based on auxiliary information. Ph.D. thesis submitted to BCKV, Mohanpur, Nadia, West Bengal, India.
4. MURTHY, M. N., 1964: Product method of estimation. Sankhya 26 A, 294-307.
5. MURTHY, M. N., 1967: Sampling theory and methods. Statistical Publishing Society, Calcutta.
6. MURTHY, M. N. and NANJAMMA, N. S., 1959: Almost unbiased ratio estimates based on interpenetrating subsample estimates. Sankhya 21, 381-392.
7. QUENOUILLE, M. H., 1956: Notes on bias in estimation. Biometrika 43, 353-360.
8. SEARLS, D. T., 1964: The utilization of a known coefficient of variation in the estimation procedure. Jour. Amer. Stat. Assoc. 59, 1225-1226.
9. SEARLS, D. T. and INTARAPANICH, P., 1990: A note on an estimator for the variance that utilizes the kurtosis. The American Statistician 44, 295-296.
10. SEN, A. R., 1978: Estimation of the population mean when the coefficient of variation is known. Commun. Statist., Theory-Meth. A 7, 657-672.
11. SINGH, J., PANDEY, B. N., and HIRANO, K., 1973: On the utilization of a known coefficient of kurtosis in the estimation procedure of variance. Ann. Inst. Statist. Math. 25, 51-55.
12. SINGH, H. P. and KAKRAN, M. S., 1993: A modified ratio estimator using known coefficient of kurtosis of an auxiliary character. Revised version submitted to Journal of Indian Society of Agricultural Statistics. New Delhi, India.
13. SISODIA, B. V. S. and DWIVEDI, V. K., 1981: A modified ratio estimator using coefficient of variation of auxiliary variable. Jour. Ind. Soc. Agril. Statist. 33, 13-18.
14. SUKHATME, P. V. and SUKHATME, B. V., 1970: Sampling Theory of Surveys with Applications. 2nd edition. Iowa State University Press, Ames.