On calibration of design weights
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  • 作者:Sarjinder Singh (1)
    Raghunath Arnab (2) (3)
  • 关键词:Linear regression estimator ; GREG ; Estimation of total
  • 刊名:METRON
  • 出版年:2011
  • 出版时间:August 2011
  • 年:2011
  • 卷:69
  • 期:2
  • 页码:185-205
  • 全文大小:737KB
  • 参考文献:1. Deville, J. C. and Sarndal, C. E. (1992) Calibration estimators in survey sampling, J. Amer. Statist. Assoc, 87, 376鈥?82. CrossRef
    2. Estevao, V. M. and Sarndal, C. E. (2003) A new perspective on calibration estimators, JSM-Section on Survey Research Methods, 1346鈥?356.
    3. Farrell, P. J. and Singh, S. (2002) Penalized chi square distance function in survey sampling, Proceedings of JSM, New York (Available on CD).
    4. Farrell, P. J. and Singh, S. (2005) Model-assisted higher order calibration of estimators of variance, Aust. & New Zealand J. Statist., 47, 375鈥?83. CrossRef
    5. Hansen, M. H., Hurwitz, W. N. and Madow, W. G. (1953) Sample survey methods and theory, New York, John Wiley and Sons, 456鈥?64.
    6. Horvitz, D. G. and Thompson, D. J. (1952) A generalization of sampling without replacement from a finite universe, J. Amer. Statist. Assoc, 47, 663鈥?85. CrossRef
    7. Kim, J. M., Sungur, E. A. and Hoe, T. Y. (2007) Calibration approach estimators in stratified sampling, Statistics and Probability Letters, 77, 99鈥?03. CrossRef
    8. Kott, P. S. (2003) An overview of calibration weighting, Joint Statistical Meeting-Section of Survey Methods, 2241鈥?252.
    9. Midzuno, H. (1952) On the sampling system with probability proportional to sum of sizes, Ann. Inst. Statist. Math, 3, 99鈥?07. CrossRef
    10. Montanari, G. E. and Ranalli, G. (2005) Nonparametric model calibration estimation in survey sampling, Jour. Amer. Statist. Assoc., 100, 1429鈥?442. CrossRef
    11. Rueda, M., Martinez, S., Martinez, H. and Arcos, A. (2006) Mean estimation with calibration techniques in presence of missing data, Computational Statistics and Data Analysis, 50, 3263鈥?277. CrossRef
    12. Rueda, M., Martinez, S., Martinez, H. and Arcos, A. (2007) Estimation of the distribution function with calibration methods, Journal of Statistical Planning and Inference, 137, 435鈥?48. CrossRef
    13. Sampath, S. and Chandra, S. K. (1990) General class of estimators for the population total under unequal probability sampling schemes, Metron, 409鈥?19.
    14. Sarndal, C. E., Swensson, B. and Wretman, J. H. (1992) Model assisted survey sampling, NewYork, Springer-Verlag. CrossRef
    15. Sen, A. R. (1953) On the estimate of the variance in sampling with varying probabilities, J. Indian Soc. Agril. Statist, 5, 119鈥?27.
    16. Singh, S. (2003) Advanced sampling theory with applications: How Michael 鈥淪elected鈥?Amy., Kluwer Academic Publisher, pp. 1鈥?247.
    17. Singh, S. (2004) Golden and Silver Jubilee Year-2003 of the linear regression estimators, Presented at the Joint Statistical Meeting, Toronto, 4382鈥?389 (Available on the CD).
    18. Singh, S. (2006) Survey statisticians celebrate Golden Jubilee Year-2003 of the linear regression estimator, Metrika, 1鈥?8.
    19. Singh, S., Horn, S. and Yu, F. (1998) Estimation of variance of the general regression estimator: Higher level calibration approach., Survey Methodology,, 24, 41鈥?0.
    20. Singh, S., Horn, S., Chowdhury, S. and Yu, F. (1999) Calibration of the estimators of variance, Austr. & New Zealand J. Statist., 41, 199鈥?12. CrossRef
    21. Stearns, M. and Singh, S. (2008) On the estimation of the general parameter. Computational, Statistics and Data Analysis, 52, 4253鈥?271. CrossRef
    22. Wu, C. and Sitter, R. R. (2001) A model-calibration approach to using complete auxiliary information from survey data, J. Amer. Statist. Assoc., 96, 185鈥?93. CrossRef
  • 作者单位:Sarjinder Singh (1)
    Raghunath Arnab (2) (3)

    1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, Texas, 78363, USA
    2. Department of Statistics, University of Botswana, Botswana
    3. University of Kwa-Zulu Natal, Kwa-Zulu Natal, South Africa
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