My Academic Family

My academic family as recorded on The Mathematics Genealogy Project

My Grandfather

Solomon Kullback (1907-1994)

My Father

Robert Shumway, Professor, Division of Statistics, University of California at Davis

My Kids (Ph.D.)

• Dr. Thomas Bengtsson, Biostatistician, Genentech

Dissertation: Time Series Discrimination, Signal Comparison Testing, and Model Selection in the State-Space Framework

Defense: April, 2000

Institution: University of Missouri - Columbia

• Dr. Hyun-Joo Kim, Professor, Division of Mathematics and Computer Science, Truman State University

Dissertation: Model Selection Criteria Based on Kullback Information Measures for Weibull, Logistic, and Nonlinear Regression Frameworks

Defense: July, 2000

Institution: University of Missouri - Columbia

• Dr. Simon Davies, Director - Head Safety Statistics, Abbott Laboratories

Dissertation: Discrepancy-Based Model Selection Criteria Using Cross Validation

Defense: July, 2002

Institution: University of Missouri - Columbia

• Dr. J. Wade Davis, Associate Professor, Department of Health Management and Informatics, University of Missouri - Columbia

Dissertation: Wavelet-Based Methods for Estimation and Discrimination

Defense: July, 2003

Institution: University of Missouri - Columbia

• Dr. Junfeng Shang, Associate Professor, Department of Mathematics and Statistics, Bowling Green State University

Dissertation: Problems in the Mixed Modeling Framework: Assessing Predictive Inference, Model Selection, and Bayesian Multiple Comparisons Under Order Restrictions

Defense: July, 2005

Institution: University of Missouri - Columbia

• Dr. Zugui Zhang, Senior Biostatistician, Christiana Care Health System

Dissertation: Linear Model Selection for Exactly and Nearly Replicated Data Based on Conceptual Predictive Statistics

Defense:June, 2007

Institution: University of Iowa

• Dr. JonDavid Sparks, Biostatistician, Eli Lilly and Company

Dissertation: Model Selection Criteria in the Presence of Missing Data Based on the Kullback-Leibler Discrepancy

Defense: October, 2009

Institution: University of Iowa

• Dr. C. Laura Acion, Associate Research Scientist, Department of Psychiatry, University of Iowa

Dissertation: Criteria for Generalized Linear Model Selection Based on Kullback's Symmetric Divergence

Defense: August, 2011

Institution: University of Iowa

• Dr. Ming Yang, Research Associate, Center for Biostatistics in AIDS Research, Harvard University

Dissertation: Statistical Models for Count Time Series with Excess Zeros

Defense: April, 2012

Institution: University of Iowa

• Dr. Eric Foster, Assistant Professor, Department of Biostatistics, University of Iowa

Dissertation: State Space Time Series Clustering Using Discrepancies Based on the Kullback-Leibler Information and the Mahalanobis Distance

Defense: June, 2012

Institution: University of Iowa

PDF versions of highlighted titles may be download.

Time Series Analysis

1993

• Parametric and nonparametric discriminants for regional earthquakes and explosions (with A. D. R. McQuarrie and R. H. Shumway). Report PL-TR-93-2164, Phillips Laboratory, Hanscom Air Force Base, Massachusetts, 01731-3010.

1996

• On computing the expected Fisher information matrix for state-space model parameters (with R. H. Shumway). Statistics and Probability Letters, 26, 347-355.

1997

• A bootstrap corrected variant of AIC for state-space model selection (with R. H. Shumway). Statistica Sinica, 7, 473-496.

• Regression and time series model selection using variants of the Schwarz information criterion (with A. A. Neath). Communications in Statistics - Theory and Methods, 26, 559-580.

1999

• Assessing the predictive influence of cases in a state-space process (with W. O. Johnson). Biometrika, 86, 183-190.

2001

• A diagnostic for assessing the influence of cases on the prediction of missing data (with J. J. Oleson). Journal of the Royal Statistical Society, Series D, 50, 427-440.

• Self-similarity index estimation via wavelets for locally self-similar processes (with Y. Wang and C. Song). Journal of Statistical Planning and Inference, 99, 91-110.

2003

• Self-similar processes and their wavelet analysis (with Y. Wang and J. W. Davis). In Stochastic Processes: Modeling and Simulation (Handbook of Statistics 21), edited by D.N. Shanbhag and C.R. Rao, pp. 93-135. Elsevier Science, Amsterdam, The Netherlands.

2004

• An autoregressive model for analysis of ice sheet elevation change time series (with A. C. Ferguson and C. H. Davis). IEEE Transactions on Geoscience and Remote Sensing, 42, 2426-2436.

2006

• An improved Akaike information criterion for state-space model selection (with T. Bengtsson). Computational Statistics and Data Analysis, 50, 2635-2654.

2008

• State-space discrimination and clustering of atmospheric time series data based on Kullback information measures (with T. Bengtsson). Environmetrics, 19, 103-121.

Model Selection

1997

• Unifying the derivations of the Akaike and corrected Akaike information criteria. Statistics and Probability Letters, 31, 201--208.

• A bootstrap corrected variant of AIC for state-space model selection (with R. H. Shumway). Statistica Sinica, 7, 473-496.

• Regression and time series model selection using variants of the Schwarz information criterion (with A. A. Neath). Communications in Statistics - Theory and Methods, 26, 559-580.

1998

• An Akaike information criterion for model selection in the presence of incomplete data (with R. H. Shumway). Journal of Statistical Planning and Inference, 67, 45-65.

1999

• Generalizing the derivation of the Schwarz information criterion (with A. A. Neath). Communications in Statistics - Theory and Methods, 28, 49-66.

• A large-sample model selection criterion based on Kullback's symmetric divergence. Statistics and Probability Letters, 44, 333-344.

2000

• A regression model selection criterion based on bootstrap bumping for use with resistant fitting (with A. A. Neath). Computational Statistics and Data Analysis, 35, 155-169.

2004

• Criteria for linear model selection based on Kullback's symmetric divergence. Australian and New Zealand Journal of Statistics, 46, 257-274.

2005

• Model selection criteria based on Kullback information measures for nonlinear regression (with H.-J. Kim). Journal of Statistics Planning and Inference, 134, 332-349.

• Cross-validation model selection criteria for linear regression based on the Kullback-Leibler discrepancy (with S. L. Davies and A. A. Neath). Statistical Methodology, 2, 249-266.

2006

• An improved Akaike information criterion for state-space model selection (with T. Bengtsson). Computational Statistics and Data Analysis, 50, 2635-2654.

• A Bayesian approach to the multiple comparisons problem (with A. A. Neath). Journal of Data Science, 4, 131-146.

• Bayesian estimation of linear statistical model bias (with A. A. Neath). International Journal of Pure and Applied Mathematics, 32, 255-264.

• An improved Akaike information criterion for state-space model selection (with T. Bengtsson). Computational Statistics and Data Analysis, 50, 2635-2654.

2008

• Discrepancy-based model selection criteria using cross validation (with S. L. Davies and A. A. Neath). In Statistical Models and Methods for Biomedical and Technical Systems, edited by F. Vonta, M. Nikulin, N. Limnios and C. Huber, pp. 473-485. Birkhauser, Boston, Massachusetts.

• Performance of variable selection methods in regression using variations of the Bayesian information criterion (with T. Burr, H. Fry, B. McVey, E. Sander and A. Neath). Communications in Statistics - Simulation and Computation, 37, 507-520.

• Bootstrap variants of the Akaike information criterion for mixed model selection (with J. Shang). Computational Statistics and Data Analysis, 52, 2004-2021.

• An assumption for the development of bootstrap variants of the Akaike information criterion in mixed models (with J. Shang). Statistics and Probability Letters, 78, 1422-1429.

2010

• Linear model evaluation based on estimation of model bias (with A. A. Neath). Journal of Statistical Theory and Practice, 4, 169-179.

• An alternate version of the conceptual predictive statistic based on a symmetrized discrepancy measure (with A. A. Neath and S. L. Davies). Journal of Statistical Planning and Inference, 140, 3389-3398.

• Bayesian estimation of prediction error and variable selection in linear regression (with A. A. Neath). To appear in International Statistical Review.

Modeling Diagnostics

1999

• Assessing the predictive influence of cases in a state-space process (with W. O. Johnson). Biometrika, 86, 183-190.

2001

• A diagnostic for assessing the influence of cases on the prediction of missing data (with J. J. Oleson). Journal of the Royal Statistical Society, Series D, 50, 427-440.

2005

• A diagnostic for assessing the influence of cases on the prediction of random effects in a mixed model (with J. Shang). Journal of Data Science, 3, 137-151.

Multiple Comparisons

2006

• A Bayesian approach to the multiple comparisons problem (with A. A. Neath). Journal of Data Science, 4, 131-146.

2008

• A Bayesian multiple comparison procedure for order-restricted mixed models. (with J. Shang and F. T. Wright). International Statistical Review, 76, 268-284.