Local polynomial estimation in multiparameter likelihood models

Journal of the American Statistical Association

Volumn 92, Issue 440, 1997, Pages 1536-1545

  Aerts, Marc ^a   Claeskens, Gerda ^a  

^a HASSELT UNIVERSITY   (Belgium)

Author keywords

Beta binomial model; Clustered binary data; Dose response curve; Local likelihood estimation; Local polynomial smoothers

Indexed keywords

EID: 0031326720     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1997.10473675     Document Type: Article

References (28)

1. Bahadur, R R.(1961), "A Representation of the Joint Distribution of Responses of n Dichotomous Items," in Studies in Item Analysis and Prediction, ed. H. Solomon, Stanford, CA: Stanford University Press.
2. Carroll, R J., Fan, J., Gijbels, I., and Wand, M. P.(1997), "Generalized Partially Linear Single-Index Models,"Journal of the American Statistical Association, 92, 477-489.
3. Chaudhuri, P., and Dewanji, A.(1995), "On a Likelihood-Based Approach in Nonparametric Smoothing and Cross-Validation;'Statistics and Probability Letters, 22, 7-15.
4. Copas, J. B.(1983), "Plotting p Againstx," Applied Statistics, 32, 25-31.
5. Eubank, R(1988), Spline Smoothing and Nonparametric Regression, New York: Marcel Dekker.
6. Fan, J., and Gijbels, I.(1996), Local Polynomial Modelling and Its Applications, London: Chapman and Hall.
7. Fan, J., Heckman, N. E., and Wand, M. P.(1995), "Local Polynomial Kernel Regression for Generalized Linear Models and Quasi-Likelihood Functions,"Journal of the American Statistical Association, 90, 141-150.
8. Gasser, T., and Miiller, H.-G.(1979), "Kernel Estimation of Regression Functions," in Smoothing Techniques for Curve Estimation, eds. T. Gasser and M. Rosenblatt, Heidelberg: Springer-Verlag, pp. 23-68.
9. Hart, J. D., and Wehrly, T. E.(1992), "Kernel Regression When the Boundary Region is Large, With an Application to Testing the Adequacy of Polynomial Models,"Journal of the American Statistical Association,87, 1018-1024.
10. Kleinman, J. C. (1973), "Proportions With Extraneous Variance: Single and Independent Samples,"Journal of the American Statistical Association,68,46-54.
11. Kupper, L. L., Portier, C., Hogan, M. D., and Yamamoto, E. (1986), "The Impact of Litter Effects on Dose-Response Modeling in Teratology,"Biometrics, 42, 85-98.
12. Lehmann, E. L.(1983), Theory of Point Estimation, New York: Wiley.
13. McCullagh, P., and Neider, J. A.(1989), Generalized Linear Models (2nd ed.), London: Chapman and Hall.
14. Molenberghs, G., Declerck, L., and Aerts, M.(1997), "Misspecifying the Likelihood for Clustered Binary Data,"submitted to Computational Statistics and Data Analysis.
15. Molenberghs, G., and Ryan, L. M. (1995), "Likelihood Inference for Clustered Multivariate Binary Data," technical report, Limburgs Universitair Centrum, Dept. of Statistics.
16. Moore, D. F., and Tsiatis, A.(1991), "Robust Estimation of the Variance in Moment Methods for Extra-Binomial and Extra-Poisson Variation,"Biometrics, 47, 383-401.
17. Miiller, H.-G., and Schmitt, T.(1988), "Kernel and Probit Estimates in Quantal Bioassay,"Journal of the American Statistical Association, 83,750-759.
18. Pendergast, J. F., Gange, S. J., Newton, M. A., Linstrom, M. J., Palta, M., and Fisher, M. R. (1996), "A Survey of Methods for Analyzing Clustered Binary Response Data,"International Statistical Review, 64, 89-118.
19. Ruppert, D., and Wand, M. P. (1994), "Multivariate Locally Weighted Least Squares Regression," The Annals of Statistics, 22, 1346-1370.
20. Ruppert, D., Wand, M. P., Holst, U., and Hossjer, O.(1995), "Local Polynomial Variance Function Estimation," Working Paper95-014, University of New South Wales, Dept. of Statistics.
21. Sacks, F., and Ylvisaker, S.(1970), "Designs for Regression Problems With Correlated Errors III,"Annals of Mathematical Statistics, 41, 2057-2074.
22. Severini, T. A., and Staniswalis, J. G. (1994), "Quasi-Likelihood Estimation in Semiparametric Models,"Journal of the American Statistical Association, 89, 501-511.
23. Shepard, T. H., Mackler, B., and Finch, C. A. (1980), "Reproductive Studies in the Iron-Deficient Rat,"Teratology, 22, 329-334.
24. Staniswalis, J. G.(1989), "The Kernel Estimate of a Regression Function in Likelihood-Based Models,"Journal of the American Statistical Association, 84, 276-283.
25. Staniswalis, J. G., and Cooper, V. (1988), "Kernel Estimates of DoseResponse,"Biometrics, 44, 1103-1119.
26. Staniswalis, J. G., and Severini, T. A.(1991), "Diagnostics for Assessing Regression Models,"Journal of the American Statistical Association, 86,684-692.
27. Tibshirani, R, and Hastie, T.(1987), "Local Likelihood Estimation,"Journal of the American Statistical Association, 82, 559-568.
28. Wand, M. P., and Jones, M. C.(1995), Kernel Smoothing, London: Chapman and Hall.