Research (classified by area)


 

 

Prehistory: Mathematical Logic

As a mathematician I worked on the construction of prime representing polynomials; this was an area opened up by the (negative) solution to Hilbert's Tenth Problem given by Yuri Matiyasevich:

·       J.P. Jones, D. Sato, H. Wada, D. Wiens; 1976; Diophantine Representation of the Set of Prime Numbers; American Mathematical Monthly; 83, 449-464. Awarded the 1977 MAA Lester R. Ford Award.

(This earned me an Erdös number of 3.) I then studied for and completed some entry level examinations of the Society of Actuaries, in the process I was led astray into Mathematical Statistics.

More recently, but still long ago: Applied Probability; Distribution Theory

·       Douglas P. Wiens; 1992; On Moments of Quadratic Forms in Non-Spherically Distributed Variables; Statistics; 23, 265-270.

·       Douglas P. Wiens; 1989; On the Busy Period Distribution of the M/G/2 Queueing System; Journal of Applied Probability; 26, 858 - 865.

·       Douglas Wiens; 1988; The Non-Null Distribution of the Beta Statistic in the Test of the Univariate General Linear Hypothesis, When the Error Distribution is Spherically Symmetric; Journal of Statistical Planning and Inference; 19, 245-252.

·       Subhash C. Kochar, Douglas P. Wiens; 1987; Partial Orderings of Life Distributions With Respect to Their Aging Properties; Naval Research Logistics; 34, 823-829.

·       Doug Wiens; 1985; Asymptotic Distribution of Some Multivariate “Success Run”' Renewal Processes, Applied to a 2-i.i.d. Unit Repairable System; Naval Research and Logistics Quarterly; 32, 589-593.

·       Douglas P. Wiens; 1985; On Some Pattern Reduction Matrices Which Appear in Statistics; Linear Algebra and its Applications, Special Issue on Linear Algebra and Statistics; 67, 233-258.

·       Doug Wiens; 1985; Ellipsoidal Confidence Regions for a Normal Covariance Matrix; Communications in Statistics A; 14, 1405-1411.

·       R. Dawson, G. Gabor, R. Nowakowski, D. Wiens; 1985; Random Fibonacci-type Sequences; Fibonacci Quarterly; 23, 169-176.

·       D.P. Wiens; 1983; Some Distributions for a 2-Identical Unit System; Math. Operationforsch. U. Statist., Ser. Optimization; 14, 607-616.

·       Doug Wiens; 1981; Analysis of a Hot-Standby System With 2 Identical Dependent Units and a General Erlang Failure Time Distribution; IEEE Transactions on Reliability; R30, p. 386 and Supplement. 

Statistical theory and methods  

·       S. Huang, D. P. Wiens, Y. Yang, S. X. Meng, C. L. Vanderschaaf; 2009; Assessing the Impacts of Species Composition, Site Quality and Density on Individual Tree Height Prediction of Aspen in Boreal Mixedwoods; Forest Ecology and Management, 258, 1235-1247.

·       Oleg Michailovich, Douglas Wiens; 2007;  On Separation of Signal Sources using Kernel Estimates of Probability Densities; 7th International Conference on Independent Component Analysis and Signal Separation; London, UK, September 9-12, 2007.  In Independent Component Analysis and Signal Separation: Lecture Notes in Computer Science, Springer, pp. 81-88.

·       Yongge Tian, Douglas P. Wiens; 2006; On Equality and Proportionality of Ordinary Least Squares, Weighted Least Squares, and Best Linear Unbiased Estimators in the General Linear Model; Statistics and Probability Letters, 76, 1265-1272.

·       Douglas P. Wiens, Norman C. Beaulieu, Pavel Loskot; 2006; On the Exact Distribution of the Sum of the Largest n-k out of n Normal Random Variables with Differing Mean Values, with software and addendum; Statistics, 40, 165-173.

·       Julian Cheng, Douglas P. Wiens, Norman C. Beaulieu; 2003; An Asymptotic Study of Generalized Moment Estimators of the Nakagami Fading Parameters; The 2003 Canadian Workshop on Information Theory; Waterloo, Ontario, pp. 63-66, May 18-21, 2003.

·       D. P. Wiens; 2001; Review of "Fundamentals of Modern Statistical Methods: Substantially Improving Power and Accuracy", by R.R. Wilcox; Biometrics; 57, 1275-1276.

·       Mike Bokalo, Stephen J. Titus, Douglas P. Wiens; 1996; Sampling With Partial Replacement Extended to Include Growth Projections; Forest Science, 42, 328-334.

·       Shongming Huang, Stephen J. Titus, Douglas P. Wiens; 1992; Comparisons of Nonlinear Height-Diameter Functions for Major Alberta Species; Canadian Journal of Forest Research; 22, 1297-1304.

·       John W. Haines, Keith R. Thompson, Doug P. Wiens; 1991; The Detection of Coastal-Trapped Waves; Journal of Geophysical Research, 96, 2593-2597.

·       David Hamilton, Douglas Wiens; 1987; Correction Factors for F-ratios in Nonlinear Regression; Biometrika; 74, 423-425 and technical report.

 

Robustness: theory and methods

 

·       John C. Lind, Douglas P. Wiens, Victor J. Yohai; 2013; Robust Minimum Information Loss Estimation; Computational Statistics & Data Analysis.  Special Issue on "Robust Analysis of Complex Data", 65, 98-112. With Matlab and R code.

·       Douglas P. Wiens; 2005; Robustness in Spatial Studies I: Minimax Prediction; Environmetrics, 16, 191-203.

·       Douglas P. Wiens; 2004; Match - A Software Package for Robust Profile Matching Using S-Plus; Journal of Statistical Software, Special Volume on Robustness, 10, 1-35.

·       Sanjoy Sinha, Douglas P. Wiens; 2002; Minimax Weights for Generalised M-Estimation in Biased Regression Models; The Canadian Journal of Statistics, 30, 401-414.

·       D. Wiens, L.Z. Florence, M. Hiltz; 2001; Robust Estimation of Air-Borne Particulate Matter; Environmetrics, 12, 25-40. Accompanying manual and S-Plus code.

·       Zhiyi Du, Douglas P. Wiens; 2000; Jackknifing, Weighting, Diagnostics and Variance Estimation in Generalized M-Estimation; Statistics and Probability Letters, 46, 287-299.

·       Douglas P. Wiens, Eden K.H. Wu, Julie Zhou; 1998; On the Trimmed Mean and Minimax Variance L-estimation in Kolmogorov Neighbourhoods; The Canadian Journal of Statistics, 26, 231-238.

·       Douglas P. Wiens; 1998; Minimum Variance Unbiased Weights and Designs for Biased Regression Models; Proceedings of the Third St. Petersburg Workshop on Simulation; eds. S.M. Ermakov, Y.N. Kashtanov, V.B. Melas, St. Petersburg: St. Petersburg University Press, pp. 220-224.

·       Douglas P. Wiens; 1996; Asymptotics of Generalized M-estimation of Regression and Scale With Fixed Carriers, in an Approximately Linear Model; Statistics and Probability Letters, 30, 271-285.

·       Douglas Wiens, Julie Zhou; 1994; Bounded Influence Rank Estimation in the Linear Model; The Canadian Journal of Statistics; 22, 233-246.

·       C.A. Field, Douglas P. Wiens; 1994; One-step M-estimators in the Linear Model, With Dependent Errors; The Canadian Journal of Statistics; 22, 219-232. With addendum.

·       Yu Wang, Douglas Wiens; 1992; Optimal, Robust R-estimators and Test Statistics in the Linear Model; Statistics and Probability Letters; 14, 179-188.

·       Douglas P. Wiens; 1992; A Note on the Computation of Robust, Bounded Influence Estimates and Test Statistics in Regression; Computational Statistics & Data Analysis; 13, 211-220.

·       Douglas P. Wiens, K.H. Eden Wu; 1991; Distributions Minimizing Fisher Information for Scale in Kolmogorov Neighbourhoods; The Canadian Journal of Statistics; 19, 179-190.

·       Douglas P. Wiens, K.H. Eden Wu; 1990; Asymptotic Minimax Properties of M-estimators of Scale; Statistics and Probability Letters; 10, 363-368.

·       M. Hlynka, J.N. Sheahan, D.P. Wiens; 1990; On the Choice of Support of Re-Descending Psi-Functions in Linear Models With Asymmetric Error Distributions; With addendum. Metrika; 37, 365-381.

·       Douglas P. Wiens; 1990; Minimax Variance L- and R- Estimators of Location; The Canadian Journal of Statistics; 18, 47 - 57. Awarded the 1990 CJS Award.

·       John Collins, Douglas Wiens; 1989; Minimax Properties of M-, R-, and L- estimators of Location in Lévy Neighbourhoods; The Annals of Statistics; 17, 327-336.

·       Douglas P. Wiens; 1987; Robust Weighted Cramér-von Mises Estimators of Location, with Minimax Variance in epsilon-contamination Neighbourhoods; The Canadian Journal of Statistics; 15, 269-278.

·       Doug Wiens; 1986; Minimax Variance M-estimators of Location in Kolmogorov Neighbourhoods; The Annals of Statistics; 14, 724-732.

·       D. P. Wiens, Z. Zheng; 1986; Robust M-estimators of Multivariate Location and Scatter in the Presence of Asymmetry; The Canadian Journal of Statistics; 14, 161-176.

·       John R. Collins, Douglas P. Wiens; 1985; Minimax Variance M-estimators in epsilon-contamination Models; The Annals of Statistics; 13, 1078-1096.

Design; in particular Robustness of Design

·       Rui Nie, Douglas P. Wiens, Zhichun Zhai; 2017; Minimax Robust Active Learning for Approximately Specified Regression Models; The Canadian Journal of Statistics, special issue on Big Data and Statistical Science; in press With Matlab code.

·       Jacob M. Maronge, Yi Zhai, Douglas P. Wiens, Zhide Fang; 2017; Optimal Designs for Spline Wavelet Regression Models; Statistical Planning and Inference; 184, 94-104. With Matlab code.

·       Douglas P. Wiens; 2017; I-Robust and D-Robust Designs on a Finite Design Space. Statistics and Computing; in press. With Matlab code.

·       Rui Hu, Douglas P. Wiens; 2017; Robust Discrimination Designs over Hellinger Neighbourhoods; Annals of Statistics; in press. With supplement.

·       Yassir Rabhi, Douglas P. Wiens; 2016; Robust Sampling Designs for a Possibly Misspecified Stochastic Process; Statistica Sinica, 26, 1525-1542. With supplementary material and Matlab code.

·       Rui Nie, Douglas P. Wiens, Zhichun Zhai; 2017; Minimax Robust Active Learning for Approximately Specified Regression Models. With Matlab code.

·       Zhichun Zhai, Douglas P. Wiens; 2015; Robust Model-Based Stratified Sampling Designs; The Canadian Journal of Statistics, 43, 554-577.

·       Linglong Kong, Douglas P. Wiens; 2015; .

·       Linglong Kong, Douglas P. Wiens; 2015; Model-Robust Designs for Quantile Regression; Journal of the American Statistical Association, 110, 233-245. With accompanying technical report and Matlab code.

·       Douglas P. Wiens; 2015; Robustness of Design, Chapter 20 of Handbook of Design and Analysis of Experiments, Chapman & Hall/CRC.

·       Douglas P. Wiens; 2015; Optimal Designs for Non-Linear Models: Introduction and Historical Overview, Chapter 12 of Handbook of Design and Analysis of Experiments, Chapman & Hall/CRC.

·       Douglas P. Wiens, Pengfei Li; 2014; V-optimal Designs for Heteroscedastic Regression; Journal of Statistical Planning and Inference, 145, 125-138. With Matlab code.

·       Maryam Daemi, Douglas P. Wiens; 2013; Techniques for the Construction of Robust Regression Designs, with Matlab code; The Canadian Journal of Statistics, 41, 679-695.

·       A. H. Welsh, Douglas P. Wiens; 2013; Robust Model-based Sampling Designs; Statistics and Computing, 23, 689-701. With Matlab and R code.

·       Douglas P. Wiens; 2013; Designs for Weighted Least Squares Regression, With Estimated Weights; Statistics and Computing, 23, 391-401. With Matlab code.

·       Jamil Hasan Karami, Douglas P. Wiens; 2014; Robust Static Designs for Approximately Specified Nonlinear Regression Models; Journal of Statistical Planning and Inference, 144, 55-62. With R code.

·       Douglas P. Wiens, Pengfei Li; 2012; A Robust Treatment of a Dose-Response Study; Applied Stochastic Models in Business and Industry, 28, 164-173.

·       Pengfei Li, Douglas P. Wiens; 2011; Robustness of Design in Dose-Response Studies; Journal of the Royal Statistical Society (Series B), 17, 215-238. With Matlab code.

·       Douglas P. Wiens; 2010; Robustness of Design for the Testing of Lack of Fit and for Estimation in Binary Response Models; Computational Statistics & Data Analysis, 54, 3371-3378.  Special Issue on "Model Selection and Robust Procedures". With Matlab code.

·       Douglas P. Wiens, Eden K.H. Wu; 2010; A Comparative Study of Robust Designs for M-Estimated Regression Models; Computational Statistics & Data Analysis, 54, 1683-1695. With Matlab code.

·       Douglas P. Wiens; 2009; Asymptotic Properties of a Neyman-Pearson Test for Model Discrimination, with an Application to Experimental Design;  Proceedings of the International Conference on Advances in Interdisciplinary Statistics and Combinatorics, U. of North Carolina at Greensboro, October 12 - 14, 2007; Journal of Statistical Theory and Practice, 3, 419-427.

·       Douglas P. Wiens; 2009; Robust Discrimination Designs; Journal of the Royal Statistical Society (Series B), 71, 805 - 829. With Matlab code.

·       Holger Dette, Douglas P. Wiens; 2009; Robust Designs for 3D Shape Analysis with Spherical Harmonic Descriptors (incl. supplement); Statistica Sinica, 19, 83-102 + supplement.

·       Adeniyi Adewale, Douglas P. Wiens; 2009; Robust Designs for Misspecified Logistic Models; Journal of Statistical Planning and Inference, 139, 3-15Special Issue on "Metaheuristics, Combinatorial Optimization and Design of Experiments". With Matlab code.

·       Holger Dette, Douglas P. Wiens; 2008; Robust Designs for Series Estimation; Computational Statistics & Data Analysis, 52, 4305-4324.

·       Douglas P. Wiens, Xiaojian Xu; 2008; Robust Prediction and Extrapolation Designs for Misspecified Generalized Linear Regression Models; Journal of Statistical Planning and Inference, 138, 30-46.  Special Issue on "International Conference on Design of Experiments", U. Memphis, 2005.

·       Douglas P. Wiens, Julie Zhou; 2008; Robust Estimators and Designs for Field Experiments; Journal of Statistical Planning and Inference, 138, 93-104.  Special Issue on "International Conference on Design of Experiments", U. Memphis, 2005.

·       Douglas P. Wiens, Xiaojian Xu; 2008; Robust Designs for One-Point Extrapolation; Journal of Statistical Planning and Inference, 138, 1319 - 1357.

·       J. López-Fidalgo, R. Martín-Martín, Douglas P. Wiens; 2008; Marginally Restricted Sequential D-Optimal Designs; The Canadian Journal of Statistics, 36, 397 - 410.

·       Adeniyi J. Adewale, Douglas P. Wiens; 2006; New Criteria for Robust Integer-Valued Designs in Linear Models, with Matlab code; Computational Statistics & Data Analysis, 51, 723-736.

·       Zhide Fang, Douglas P. Wiens, Zheyang Wu; 2006; Locally D-Optimal Designs for Multi-Stage Models and Heteroscedastic Polynomial Regression Models; Journal of Statistical Planning and Inference, 136, 4059-4070.

·       Douglas P. Wiens; 2005; Robustness in Spatial Studies II: Minimax Design; Environmetrics, 16, 205-217.

·       Douglas P. Wiens; 2005; Robust Allocation Schemes for Clinical Trials With Prognostic Factors; Journal of Statistical Planning and Inference, 127, 323-340.

·       Zhide Fang, Douglas P. Wiens; 2004; Bayesian Minimally Supported D-Optimal Designs for an Exponential Regression Model; Communications in Statistics, Theory and Methods, 33, 1187-1204.

·       Zhide Fang, Douglas P. Wiens; 2003; Robust Regression Designs for Approximate Polynomial Models; Journal of Statistical Planning and Inference, 117, 305 - 321. Accompanying software.

·       Alwell J. Oyet, Douglas P. Wiens; 2003; On Exact Minimax Wavelet Designs Obtained by Simulated Annealing; Statistics and Probability Letters, 61, 111-121.

·       Sanjoy K. Sinha, Douglas P. Wiens; 2003; Asymptotics for Robust Sequential Designs in Misspecified Regression Models; Mathematical Statistics and Applications: Festschrift for Constance van Eeden, IMS Lecture Notes - Monograph Series, Eds. M. Moore, C. Léger and S. Froda, 233-248.

·       Sanjoy Sinha, Douglas P. Wiens; 2002; Robust Sequential Designs for Nonlinear Regression; The Canadian Journal of Statistics, 30, 601-618.

·       Giseon Heo, Byron Schmuland, Douglas P. Wiens; 2001; Restricted Minimax Robust Designs for Misspecified Regression Models; The Canadian Journal of Statistics, 29, 117-128. With addendum.

·       Douglas P. Wiens; 2001; Robust Designs for Approximate Regression Models With Correlated Errors; 2002 Proceedings of the American Statistical Association, [CD-ROM], Alexandria, VA: American Statistical Association.

·       Douglas P. Wiens; 2000; Bias Constrained Minimax Robust Designs for Misspecified Regression Models; Selected Proceedings of the Third St. Petersburg Workshop on Simulation; 117-133, Birkhauser, Boston.

·       Alwell J. Oyet, Douglas P. Wiens; 2000; Robust Designs for Wavelet Approximations of Regression Models; Journal of Nonparametric Statistics, 12, 837-859.

·       Zhide Fang, Douglas P. Wiens; 2000; Integer-Valued, Minimax Robust Designs for Estimation and Extrapolation in Heteroscedastic, Approximately Linear Models; Journal of the American Statistical Association, 95, 807-818.

·       Douglas P. Wiens; 2000; Robust Weights and Designs for Biased Regression Models: Least Squares and Generalized M-estimation; Journal of Statistical Planning and Inference, 83, 395-412.

·       Zhide Fang, Douglas P. Wiens; 1999; Robust Extrapolation Designs and Weights for Biased Regression Models With Heteroscedastic Errors; The Canadian Journal of Statistics, 27, 751-770.

·       Douglas P. Wiens, Julie Zhou; 1999; Minimax Designs for Approximately Linear Models With AR(1) Errors; The Canadian Journal of Statistics, 27, 781-794.

·       Douglas P. Wiens; 1998; Minimax Robust Designs and Weights for Approximately Specified Regression Models With Heteroscedastic Errors; Journal of the American Statistical Association, 93, 1440-1450.

·       Shawn X. Liu, Douglas P. Wiens; 1997; Robust Designs for Approximately Polynomial Regression; Journal of Statistical Planning and Inference, 64, 369-381. With addendum.

·       Douglas P. Wiens, Julie Zhou; 1997; Robust Designs Based on the Infinitesimal Approach; Journal of the American Statistical Association, 92, 1503-1511.

·       Douglas Wiens, Julie Zhou; 1996; Minimax Regression Designs for Approximately Linear Models With Autocorrelated Errors; Journal of Statistical Planning and Inference, 55, 95-106.

·       Douglas P. Wiens; 1996; Robust, Sequential Designs for Approximately Linear Models; The Canadian Journal of Statistics, 24, 67-79.

·       Douglas P. Wiens; 1994; Robust Designs for Approximately Linear Regression: M-estimated Parameters; Journal of Statistical Planning and Inference; 40, 135-160.

·       Douglas P. Wiens; 1993; Designs for Approximately Linear Regression: Maximizing the Minimum Coverage Probability of Confidence Ellipsoids; The Canadian Journal of Statistics; 21, 59-70.

·       Douglas P. Wiens; 1992; Minimax Designs for Approximately Linear Regression; Journal of Statistical Planning and Inference; 31, 353-371.

·       Douglas P. Wiens; 1991; Designs for Approximately Linear Regression:Two Optimality Properties of Uniform Designs; Statistics and Probability Letters; 12, 217-221.

·       Douglas P. Wiens; 1990; Robust, Minimax Designs for Multiple Linear Regression; Linear Algebra and Its Applications, Second Special Issue on Linear Algebra and Statistics; 127, 327 - 340.

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