# 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".

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## Selected 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)