¹Khallikote College, Department of Statistics, Berhampur, India. Lecturer. Email: rkn2010@gmail.com
²Utkal University, Department of Statistics, Bhubaneswar, India. Professor. Email: lnsahoostatuu@rediffmail.com

Using a predictive estimation procedure, an attempt has been made to develop some estimators for the finite population variance in the presence of an auxiliary variable. Analytical and simulation studies have been undertaken for understanding the performance of the suggested estimators compared to some existing ones.

Key words: Auxiliary variable, Bias, Efficiency, Prediction approach.

Mediante el uso de un procedimiento de estimación predictivo, se desarrollan algunos estimadores de la varianza poblacional en la presencia de una variable auxiliar. Estudios analíticos y de simulación son implementados para entender el desempeño de los estimadores sugeridos en comparación con otros ya existentes.

Palabras clave: variable auxiliar, sesgo, eficiencia, enfoque de predicción.

Texto completo disponible en PDF

References

1. Ahmed, M. S., Walid, A. D. & Ahmed, A. O. H. (2003), 'Some estimators for finite population variance under two-phase sampling', Statistics in Transition 6, 143-150.         [ Links ]

2. Basu, D. (1971), An essay on the logical foundations of survey sampling, 'Foundations of Statistical Inference', Vol. I, Holt, Rinehart and Wintson, Toronto, Canada, p. 203-242.         [ Links ]

3. Biradar, R. S. & Singh, H. P. (1998), 'Predictive estimation of finite population variance', Calcutta Statistical Association Bulletin 48, 229-235.         [ Links ]

4. Bolfarine, H. & Zacks, S. (1992), Prediction Theory for Finite Populations, Springer-Verlag.         [ Links ]

5. Cochran, W. (1977), Sampling Techniques, Wiley Eastern Limited.         [ Links ]

6. Das, A. & Tripathi, T. P. (1978), 'Use of auxiliary information in estimating the finite population variance', Sankhy\bar{a} C40, 139-148.         [ Links ]

7. Dobson, A. J. (1990), An Introduction to Generalized Linear Models, Chapman and Hall, New York.         [ Links ]

8. Garcia, M. R. & Cebrain, A. A. (1996), 'Repeated substitution method: the ratio estimator for the population variance', Metrika 43, 101-105.         [ Links ]

9. Giiancarlo, D. & Chiara, T. (2004), 'Estimation for finite population variance in double sampling', Metron 62, 223-232.         [ Links ]

10. Grover, L. K. (2007), 'A wide and efficient class of estimators of population variance under sub-sampling scheme', Model Assisted Statistics and Applications 2, 41-51.         [ Links ]

11. Horvitz, D. G. & Thompson, D. J. (1952), 'A generalization of sampling without replacement from a finite universe', Journal of the American Statistical Association 47, 663-685.         [ Links ]

12. Isaki, C. T. (1983), 'Variance estimation using auxiliary information', Journal of the American Statistical Association 78(117-123).         [ Links ]

13. Jhajj, H. S., Sharma, M. K. & Grover, L. K. (2005), 'An efficient class of chain estimators of population variance under sub-sampling scheme', Journal of the Japan Statistical Society 35, 273-286.         [ Links ]

14. Kadilar, C. & Cingi, H. (2006), 'Improvement in variance estimation using auxiliary information', Hacettepe Journal of Mathematics and Statistics 35, 111-115.         [ Links ]

15. Kadilar, C. & Cingi, H. (2007), 'Improvement in variance estimation in simple random sampling', Communications in Statistics-Theory and Methods 36, 2075-2081.         [ Links ]

16. Murthy, M. N. (1967), Sampling Theory and Methods, Statistical Publishing Society, Kolkata.         [ Links ]

17. Nayak, R. K. (2009), Some Estimation Strategies in Finite Population Survey Sampling Using Auxiliary Information, PhD., Utkal University, India.         [ Links ]

18. Panse, V. G. & Sukhatme, P. V. (1985), Statistical Methods for Agricultural Workers, Indian Council for Agricultural Research, New Delhi.         [ Links ]

19. Prasad, B. & Singh, H. P. (1990), 'Some improved ratio-type estimators of finite population variance in sample surveys', Communications in Statistics-Theory and Methods 19, 1127-1139.         [ Links ]

20. Prasad, B. & Singh, H. P. (1992), 'Unbiased estimators of finite population variance using auxiliary information in sample surveys', Communications in Statistics-Theory and Methods 21, 1367-1376.         [ Links ]

21. Royall, R. M. (1988), The prediction approach to sampling theory, 'Handbook of Statistics', Vol. 6, North Holland, p. 351-358.         [ Links ]

22. Sampford, M. R. (1962), An Introduction to Sampling Theory, Oliver and Boyd, Edinburg.         [ Links ]

23. Sampford, M. R. (1978), Predictive estimation and internal congruency, 'Contribution to Survey Sampling and Applied Statistics', Academic Press, New York, p. 29-39.         [ Links ]

24. Shukla, G. K. (1966), 'An alternative multivariate ratio estimate for finite population', Calcutta Statistical Association Bulletin 15, 127-134.         [ Links ]

25. Singh, H. P. & Singh, R. (2001), 'Improved ratio-type estimators for variance using auxiliary information', Journal of the Indian Society of Agricultural Statistics 54, 276-287.         [ Links ]

26. Singh, S. & Kataria, P. (1990), 'An estimator of the finite population variance', Journal of the Indian Society of Agricultural Statistics 42, 186-188.         [ Links ]

27. Srivastava, S. K. (1983), 'Predictive estimation of finite population using product estimators', Metrika 30, 93-99.         [ Links ]

28. Srivastava, S. K. & Jhajj, H. S. (1980), 'A class of estimators using auxiliary information for estimating finite population variance', Sankhy\bar{a} C42, 87-96.         [ Links ]

29. Srivastava, S. K. & Jhajj, H. S. (1995), 'Classes of estimators of finite population mean and variance using auxiliary information', Journal of the Indian Society of Agricultural Statistics 47, 119-128.         [ Links ]

30. Steel, R. G. D. & Torrie, J. H. (1960), Principles and Procedures of Statistics, Mc. Graw Hill Book Company.         [ Links ]

31. Sukhatme, P. V. & Sukhatme, B. V. (1977), Sampling Theory of Surveys with Applications, Asia Publishing House, New Delhi.         [ Links ]

32. Wetherill, G. B. (1981), Intermediate Statistical Methods, Chapman and Hall, London.         [ Links ]

33. Yates, F. (1960), Sampling Methods for Censuses and Surveys, Charls and Griffin, London.         [ Links ]

Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX: