Minimum cramér-von mises distance methods for complete and grouped data

Communications in Statistics - Theory and Methods

Volumn 26, Issue 2, 1997, Pages 401-420

  Duchesne, Thierry ^a   Rioux, Jacques ^b   Luong, Andrew ^b  

^a UNIVERSITY OF WATERLOO   (Canada)

^b UNIVERSITÉ LAVAL   (Canada)

Author keywords

Grouped estimation; Influence function; Robustness

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; FUNCTIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBABILITY;

CRAMER-VON MISES DISTANCE ESTIMATOR; GROUPED ESTIMATION; INFLUENCE FUNCTION;

STATISTICAL METHODS;

EID: 0031387275     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929708831923     Document Type: Article

References (20)

1. Beran, R. (1977), "Minimum Hellinger Distance Estimates for Parametric Models", The Annals of Statistics, vol. 5, pp. 445-463.
2. Beran, R. (1978), "An Efficient and Robust Adaptive Estimator of Location", The Annals of Statistics, vol. 6, pp. 292-313.
3. Beran, R. (1984), "Minimum Distance Procedures", Handbook of Statistics, vol. 4, pp. 741-754.
4. Boos, D.D. (1981), "Minimum Distance Estimators for Location and Goodness of Fit", Journal of the American Statistical Association, vol. 76, pp. 663-670.
5. Char, B.W., Geddes, K.O., Gonnet, G.H., Leong, B.L., Monagan, M.B., Watt, S.M., Maple V Language Reference Manual, Springer-Verlag, New York.
6. Donoho, C.L., Liu, R.C. (1988a), "The "Automatic" Robustness of Minimum Distance Functionals", The Annals of Statistics, vol. 16, pp. 552-586.
7. Donoho, C.-L., Liu, R.C. (1988b), "Pathologies of Some Minimum Distance Estimators", The Annals of Statistics, vol. 16, pp. 587-608.
8. Durbin, J., Knott, M. (1972), "Components of Cramer- Von Mises Statistics I", Journal of the Royal Statistical Society, B series, vol. 34, pp. 290-307.
9. Hampel, F.R. (1974), "The influence curve and its role in Robust estimation", Journal of the American Statistical Association, 69, pp. 383-393
10. Hampel, F.R., Ronchetti, E.M., Rousseeuw, P.J., Stahel, W.A. (1986), Robust Statistics (The Approach Based on Influence Functions), Wiley Series in Probability and Statistics, New-York.
11. Hogg, R.V., Klugman, S.A. (1984), Loss Distributions, Wiley Series in Probability and Statistics, New-York.
12. Huber, P.J. (1981), Robust statistics, Wiley Series in Probability and Statistics, New-York.
13. Luong, A., Thompson, M.E. (1987), "Minimum-distance methods based on quadratic distances for transforms", The Canadian Journal of Statistics, Vol. 15, No. 3, pp. 239-251.
14. Moore, D.S. (1978), "Chi-sqtiare Tests", Studies in Statistics, 19, (Robert V. Hogg, ed.), Mathematical Association of America, pp. 66-106.
15. Parr, W.C., Schucany, W.R. (1980), "Minimum Distance and Robust Estimation", The Journal of the American Statistical Association, vol. 75, pp. 616-624.
16. Serfling, R.J. (1980), Approximation Theorems of Mathematical Statistics, Wiley Series in Probability and Mathematical Statistics, New-York.
17. Stute, W. (1986) "Parameter estimation in smooth empirical processes", Stochastic Processes and their Applications, vol 22, pp. 223-244.
18. Stephens, M.A. (1974), "EDF Statistics for Goodness of Fit and Some Comparisons", Journal of the American Statistical Association, vol. 69, pp. 730-737.
19. Wellner, J.A. (1977), "A Glivenko-Cantelli Theorem and Strong Law of Large Numbers for Functions of Order Statistics", The Annals of Statistics, vol. 5, pp. 473-480.
20. Wolfowitz, J. (1957), "The Minimum Distance Method", Annals of Mathematical Statistics, vol. 28, pp. 75-88.