A Rank-Based Predictor for the Finite Population Mean of a Small Area: An Application to Crop Production

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 3, Issue 2, 1998, Pages 201-222

  Rashid, M Mushfiqur ^a   Nandram, Balgobin ^b  

^a Center for Drug Evaluation and Research   (United States)

^b Worcester Polytechnic Institute   (United States)

Author keywords

Asymptotic; Crop production; Dispersion function; Mean squared error; Nested error model; R predictor; Residual

Indexed keywords

GLYCINE MAX; ZEA MAYS;

EID: 0042193198     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.2307/1400651     Document Type: Article

References (23)

1. Battese, G. E., Harter, R. M., and Fuller, W. A. (1988), "An Error Components Model for Prediction of County Crop Areas Using Survey and Satellite Data," Journal of the American Statistical Association, 83, 28-36.
2. Calvin, J., and Sedransk, J. (1991), "Bayesian and Frequentist Predictive Inference for Patterns of Care Studies," Journal of the American Statistical Association, 86, 36-48.
3. Datta, G., and Ghosh, M. (1991), "Bayesian Prediction in Linear Models: Applications to Small Area Estimation," Annals of Statistics, 19, 1748-1770.
4. Ghosh, M., and Rao, J. N. K. (1994), "Small Area Estimation: An Appraisal," Statistical Sciences, 9, 55-93.
5. Ghosh, M., and Lahiri, P. (1987), "Robust Empirical Bayes Estimation of Means From Stratified Samples," Journal of the American Statistical Association, 82, 1153-1162.
6. Ghosh, M., and Meeden, G. (1986), "Empirical Bayes Estimation in Finite Population Sampling," Journal of the American Statistical Association, 81, 739-757.
7. Hettmansperger, T. P. (1984), Statistical Inference Based on Ranks, New York: Wiley.
8. Iwig, W. C. (1993), "The National Agricultural Statistics Service County Estimates Program", in Indirect Estimators in Federal Programs, Statistical Policy Working Paper 21, Report of the Federal Committee on Statistical Methodology, Subcommittee on Small Area Estimation, Washington DC, 7, 1-7, 15.
9. Jaeckel, L. (1972), "Estimating Regression Coefficients by Minimizing the Dispersion of the Residuals," The Annals of Mathematical Statistics, 43, 1449-1458.
10. Koul, H. L., Sievers, G. L., and McKean, J. W. (1987), "An Estimator of the Scale Parameter for the Rank Analysis of Linear Models Under General Score Functions," Scandinavian Journal of Statistics, 14, 131-141.
11. McKean, J. W., Sheather, S. J., and Hettmansperger, T. P. (1990), "Regression Diagnostics for Rank-Based Methods," Journal of the American Statistical Association, 85, 1018-1028.
12. Prasad, N. G. N., and Rao, J. N. K. (1990), "On the Estimation of Mean Squared Error of Small Area Predictors," Journal of the American Statistical Association, 85, 163-171.
13. Nandram, B. (1994), "Bayesian Predictive Inference for Multivariate Sample Surveys," Journal of Official Statistics, 167-179.
14. Nandram, B., and Sedransk, J. (1993a), "Bayesian Predictive Inference for Longitudinal Sample Surveys," Biometrics, 49, 1045-1055.
15. Nandram, B., and Sedransk, J. (1993b), "Empirical Bayes Estimation for the Finite Population Mean on the Current Occasion," Journal of the American Statistical Association, 88, 994-1000.
16. Rashid, M. M., and Nandram, B. (1994), "Rank-Based Predictive Inference for the Finite Population Mean of a Small Area," Proceedings of the Section on Survey Methodology, American Statistical Association, 1059-1064.
17. Rashid, M. M., and Nandram, B. (1995a), "A Rank Based Analysis of One-Way Repeated Measures Designs With a Changing Covariate," Journal of Statistical Planning and Inference, 46, 249-264.
18. Rashid, M. M., and Nandram, B (1995b), "The Mean-Squared Error Estimation of a Rank-Based Predictor of the Finite Population Mean of a Small Area," Proceedings of the Section on Survey Methodology, American Statistical Association, 561-566.
19. Rao, C. R. (1973), Linear Statistical Inference and Its Applications, New York: Wiley.
20. Sarndal, C. E. (1984), "Design-Consistent Versus Model-Dependent Estimation for Small Domains," Journal of the American Statistical Association, 79, 624-631.
21. Stasny, E. A. (1994), Comment on "Small Area Estimation: An Appraisal" by M. Ghosh and J. N. K. Rao, Statistical Science, 9, 87-89.
22. Tam, S. M. (1995), "Optimal and Robust Strategies for Cluster Sampling," Journal of the American Statistical Association, 90, 379-382.
23. Thomsen, I. (1994), Comment on "Small Area Estimation: An Appraisal" by M. Ghosh and J. N. K. Rao, Statistical Science, 9, 89-91.