Yannis G. Yatracos  

Variance and Clustering

Clustering Programs NEW

Education:

B.Sc in Mathematics, 1974                                 University of Athens, Greece 
M.Sc in Statistics, 1975                                       University of London, England 
Doctorat de 3eme cycle en statistique               University of Paris 6, 1978 
Ph.D in Statistics, 1983                                        U.C Berkeley, USA 


Research Interests: 

• Construction of estimates of a density or a regression type function with rates of convergence. 
• Prediction and estimation of a random function of a parameter. 
• Robustness and Tukey's poly-efficiency.
• Maximum likelihood estimation.
• Clustering and the notion of variance.
• Detection of outliers in multiple linear regression.
• Estimation of quantities related with the rare species of a population.
• Assessing the accuracy of bootstrap samples and estimates
• Estimation with artificially augmented samples

Selected Publications: 

1. (1985) Rates of convergence of minimum distance estimators and Kolmogorov’s entropy. Ann. Statist. 13, 2, 768-774. 
2. (1988) A lower bound on the error in nonparametric regression type problems. Ann. Statist.  16, 3, 1180-1187.
3. (1989) A regression type problem. Ann. Statist.  17, 4,  1597-1607.
4. (1991) A note on Tukey’s poly-efficiency. Biometrika 78, 3, 702-703.
5. (1992) On prediction and mean squared error. Canad. J. Statist. 20, 2, 187-200.
6. (1996) (With G. Roussas) Minimum distance regression-type estimates with rates under weak dependence. Ann. Inst. Stat. Math, 48, 2, 267 -281.
7. (1997)(With T. Nicoleris) Rates of convergence of estimates, Kolmogorov’s entropy and the dimensionality reduction principle in regression.  Ann. Statist. 25, 6, 2493-2512. 
8. (1998) Variance and Clustering. Proc. Amer. Math. Soc.  126, 4, 1177-1179. 
9. (1998) A small sample optimality property of the MLE. Sankhya Ser. A, 60, 90-101.
10. (2002) Assessing the quality of bootstrap samples and of the bootstrap estimates obtained with finite resampling. Stat. and Prob. Let.
    59, 281-292.
11. (2005) Artificially augmented samples, shrinkage and mean squared error reduction. JASA 100, 1168-1175.

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