Full Information Efficient Estimator of Finite Population Variance

• Autorzy: Manoj Kumar Srivastava , Namita Srivastava , Housila P. Singh
• Języki publikacji: EN

Abstrakty

EN

Second order or quadratic and finite population parametric functions may be expressed as total of variable-values on pairs of units in a derived population. Recently, Sitter and Wu (2002) utilized this approach for estimating variance under model calibration. In this paper an efficient design based full-information estimator of finite population variance has been suggested. The exact expression of its variance and its relative efficiency has also been derived. Finally, the proposed estimator has been shown to be superior to its competitors in an empirical investigation. (original abstract)

Słowa kluczowe

EN

Estimation; Estimators

PL

Estymacja; Estymatory

• Czasopismo: Statistics in Transition
• Rocznik: 2009
• Tom: 10
• Numer: nr 3
• Strony: 415--435

Twórcy

autor

Manoj Kumar Srivastava

• Institute of Social Sciences, Dr. BRA University, India

autor

Namita Srivastava

• St. John's College, India

autor

Housila P. Singh

• Vikram University, Ujjain, India

Bibliografia

• [1] CASSEL, CM., SARNDAL, C.E., and WRETMAN, J.H. (1977). Foundations of Inference in Survey Sampling. New York: Wiley.
• [2] CHAUDHRI, A.(1978). On Estimating the Variance of a Finite Population. Metrika 25, 65- 76.
• [3] DATTA, G.S. and GHOSE, M.(1993).Bayesian Estimation of Finite Population Variances with Auxiliary Information. Sankhya, Ser. B,55, 156170.
• [4] DATTA and TIWARI (1991).Bayesian Estimation of Finite Population Variances with Auxiliary Information. Sankhya, Ser. B,55, 156-170.
• [5] GHOSH, M. and LAHIRI, P.(1987).Robust Empirical Bayes Estimation of Variance From Stratified Samples. .J. Amer. Statist, Assoc.,82, 1153-1162.
• [6] GHOSE, M. and MEEDEN, G.(1983).Estimation of the Variance in Finite Population Sampling. Sankhya, Ser. B,45, 362- 375.
• [7] GHOSE, M. and MEEDEN, G.(1984).A new Bayesian analysis of a random effect model. J.R. Statist. Soc.,B46, 474-482.
• [8] ERICSON, W.A. (1969).Subjective Bayesian Models in Sampling Finite Populations(With discussion). Journal of Royal Statistical Society, Ser. B31, 195-233.
• [9] GODAMBE, V.P.(1955). A unified theory of sampling from finite populations. J. R. Statist. Soc. B, 17, 208-278.
• [10] HANURAV, T.V.(1966). Some aspect of unified sampling theory. Sankhya, Ser. A, 28, 175-204.
• [11] LAHIRI, P. and TIWARI, R.C.(1991). NonParametric Bayes and Empirical Bayes Estimation of Variances from Stratified Sampling. Sankhya, Ser. S,52, 105- 118.
• 12] LIU, T.P. (1974a). Bayes Estimation for the Variance of a finite population. Metrika 36, part I, 23-32.
• [13] LIU, T.P. (1974b). A General Unbiased Estimator for the Variance of a Finite Population. Sankhya, Ser. C, 36, part I, 23-32.
• [14] LIU, T. P. and THOMPSON, M.E. (1983). Properties of Estimators of Quadratic Finite Population Function the Batch Approach. Annals of Statistics 11, 275-285.
• [15] MUKHOPADHYAY, P.(1978). Estimating the Variance of a Finite Population Under a Superpopulation Model. Metrika 25, 115-122.
• [16] MUKHOPADHYAY, P. and BHATTACHARYA, S. (1989). On Estimating the Variance of a Finite Population Under a Superpopulation Model. Journal of the Indian Statistical Assoc. 27, 37-46.
• [17] RAJ, DES (1968). Sampling theory. Tata McGraw-Hill Publishing Company Ltd. New Delhi.
• [18] SWAIN, A.K.P.C. and MISHRA, G.(1994). Estimation of Finite Population Variance Under Unequal Probability Sampling. Sankhya, Ser. B,56, 374388.
• [19] SARNDAL.C.E., SWENSSON, B. and WRETMAN, J. (1992)Model Assisted Survey Sampling, Springer-Verlag,Newyork.
• [20] VARDEMAN, S. and MEEDEN, G. (1983). Admissible Estimators in Finite Population Sampling Employing Various Types of Prior Information. Journal of Statistical Planning Inference, 7, 329-341.
• [21] WU,C. and SITTER, R.R. (2002). Efficient Estimation of Quadratic Finite Population Functions in the Presence of Auxiliary Information. J. Amer. Statist. Assoc.,97,, 535-543.
• [22] ZACKS, S. and SOLOMAN, H. (l981). Bayes and Equivariant Estimators of the Variance of a finite population: Part I, Simple random Sampling. Commun. Statist-Theory Meth., A10, 407-426.