Estimation of finite population mean using multi-auxiliary information

Metron

Volumn 65, Issue 1, 2007, Pages 99-112

  Diana, Giancarlo ^a   Perri, Pier Francesco ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b UNIVERSITY OF CALABRIA   (Italy)

Author keywords

Auxiliary variable; Minimum variance bound; Multivariate regression estimator; Simple random sampling

Indexed keywords

EID: 67349272438     PISSN: 00261424     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. Abu-Dayyeh, W. A., Ahmed, M. S., Ahmed, R. A., and Muttlak, H. A. (2003) Some es- timators of finite population mean using auxiliary information, Applied Mathematics and Computation, 139, 287-298.
2. Agarwal, S. K., Sharma, U. K., and Kashyap, S. (1997) A new approach to use multivariate auxiliary information in sample surveys, Journal of Statistical Planning and Inference, 60, 261-267.
3. Ceccon, C. and Diana, G. (1996) Classi di stimatori di tipo rapporto in presenza di piú variabili ausiliarie, Proceedings of Italian Statistical Society, XXXVIII Scientific Meeting, Rimini, 9-13 April 1996, 119-126.
4. 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 Indian Statis- tical Institute, Golden Jubilee International Conference of Statistics: Applications and New Directions, 174-181.
5. Diana, G. and Perri, P. F. (2006) Multivariate regression-type estimators, Proceedings of Italian Statistical Society, XLIII Scientific Meeting, Torino, 14-16 June 2006, 61-64.
6. Diana, G. and Tommasi, C. (2003) Optimal estimation for finite population mean in two-phase sampling, Statistical Methods & Applications, 12, 41-48.
7. John, S. (1969) On multivariate ratio and product estimators, Biometrika, 56, 533-536.
8. Kadilar, C. and Cingi, H. (2004) Estimator of a population mean using two auxiliary variables in simple random sampling, International Mathematical Journal, 5, 357-367.
9. Kadilar, C. and Cingi, H. (2005) A new estimator using two auxiliary variables, Applied Mathe- matics and Computation, 162, 901-908.
10. Murthy, M. N. (1964) Product method of estimation, Sankhya A, 26, 69-74.
11. Naik, V. D. and Gupta, P. C. (1991) A general class of estimators for estimating population mean using auxiliary information, Metrika, 38, 11-17.
12. Olkin, I. (1958) Multivariate ratio estimation for finite populations, Biometrika, 45, 154-165.
13. Perri, P. F. (2004) Alcune considerazioni sull'efficienza degli stimatori rapporto-cum-prodotto, Statistica & Applicazioni, 2, no. 2, 59-75.
14. Perri, P. F. (2005) Combining two auxiliary variables in ratio-cum-product type estimators, Pro- ceedings of Italian Statistical Society, Intermediate Meeting on Statistics and Environment, Messina, 21-23 September 2005, 193-196.
15. Raj, D. (1965) On a method of using multi-auxiliary information in sample surveys, Journal of the American Statistical Association, 60, 154-165.
16. Rao, P. S. R. S. and Mudholkar, G. S. (1967) Generalized multivariate estimator for the mean of finite populations, Journal of the American Statistical Association, 62, 1009-1012.
17. Robinson, P. M. (1994) A class of estimators for the mean of a finite population using auxiliary information, Sankhya B, 56, 389-399.
18. Singh, M. P. (1965) On the estimation of ratio and product of the population parameters, Sankhya, B, 27, 321-328.
19. Singh, M. P. (1967a) Multivariate product method of estimation for finite populations, Journal of the Indian Society of Agricultural Statistics, 31, 375-378.
20. Singh, M. P. (1967b) Ratio cum product method of estimation, Metrika, 12, 34-42.
21. Srivastava, S. K. (1971) A generalized estimator for the mean of a finite population using multi- auxiliary information, Journal of the American Statistical Association, 66, 404-407.
22. Stuart, A., Ord, K., and Arnold, S. (2004) Kendall's Advanced Theory of Statistics: Classical Inference & the Linear Model, Vol. 2A, Sixth Ed., Arnold.
23. Tracy, D. S., Singh, H. P., and Singh, R. (1996) An alternative to the ratio-cum-product estimator in sample surveys, Journal of Statistical Planning and Inference, 53, 375-387.
24. Wolter, K. M. (1985) Introduction to Variance Estimation, Spinger-Verlag, New York.