Professor Kjell Doksum

"Kjell Doksum has worked in a variety of areas including estimation of nonparametric regression and correlation curves, inference for global measures of association in semiparametric and nonparametric settings, the estimation of regression quantiles, statistical modeling and analysis of HIV data, the analysis of financial data, and Bayesian nonparametric inference. He is a co-author with Peter Bickel of Mathematical Statistics: Basic Ideas and Selected Topics".

Select Publications

High Dimensional Data Analysis

Yang F., Doksum, K.A., and Tsui K.-W. Principal Component Analysis (PCA) for High Dimensional Data. PCA is dead. Long live PCA. 2014. In Ahmed, S.E. (ed.), Proceedings for Workshop on Perspectives on High Dimensional Data Analysis II, Montreal. American Mathematical Societ. Providence, Rhode Island

Rank Methods

Doksum, K.A., and Ozeki, A. Semiparametric Models And Likelihood-the Power Of Ranks. The Third Erich L. Lehmann Symposium, IMS Lecture Notes - Monograph Series. Optimality. Vol 57, 2009, 67-92

Estimating Equations

Doksum, K.A.,Ozeki, A., Kim, J., and Neto, E.C.(2007). Thinking outside the box: Statistical inference based on Kullback-Leibler Empirical Projections. Statistics and Probability Letters. 77, 1201-1213.

Nonparametric Bayes

On Spatial Neutral to the Right Processes and Their Posterier Distribution.In Mathematical Reliability: An Expository Perspective. Editors: R. Soyer, T.A.Mazzuchi, and N.D.Singpurwalla. Kluwer's International Series 2004, 87-104. (joint with L.J.James)

Tailfree and Neutral Random Probabilities and Their Posterior Distributions. The Annals of Probability Vol. 2, No. 2 (Apr., 1974), pp. 183-201

Nonparametric Curve Estimation

Empirical Plug-in Curve and Surface Estimates. Mathematical and Statistical Methods in Reliability. Editors: Bo Lindqvist and Kjell Doksum. World Scientific Publishing Company, Singapore, 2003, 433-454. (joint with J. Jiang)

Local Generalized Empirical Estimation of Regression. Science in China. Series A Mathematics. 2004, 114-127. (joint with J. Jiang)

Correlation Curves

Correlation Curves. In Encyclopedia of Statistical Science. Updated Volume 2. pp.155-158.

Measures of Inequality

Modeling inequality and spread in multiple regression IMS Lecture Notes-- Monograph Series 2006, Vol. 49, 120-130

Tuning Parameter Selection

Powerful Choices: Tuning Parameter Selection Based on Power. In Frontiers in Statistics. Fan, J. and H. Koul, editors. 2005.(joint with C. Schafer)

Confidence Plots

Plotting with confidence: Graphical comparisons of two populations Biometrika (1976), 63, 3, pp.421-34 (joint with G. L. Sievers)