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;
· 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
·
Jesús
López Fidalgo, Douglas
P. Wiens; 2022; Robust
Active Learning with Binary Responses; Journal
of Statistical Planning and Inference, 220,
1-14. With Matlab data
and code.
·
Douglas
P. Wiens; 2021; Robust
Designs for Dose-Response Studies: Model and Labelling Robustness. Computational
Statistics & Data Analysis, 158, article 107189. With appendices
and Matlab code.
· Selvakkadunko Selvaratnam, Linglong Kong,
Douglas P. Wiens; 2021; Model-Robust Designs for Nonlinear
Quantile Regression. Statistical Methods in Medical Research,
30, 221 - 231. With supplement and Matlab code.
· Rui Nie, Douglas P. Wiens, Zhichun Zhai; 2018; Minimax Robust Active Learning for
Approximately Specified Regression Models; The Canadian Journal of Statistics, special issue on Big
Data and Statistical Science (Editorial);
46, 104-122. With Matlab code.
· Douglas P. Wiens; 2018; I-Robust
and D-Robust Designs on a Finite Design Space; Statistics and Computing, 28,
241-258. 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.
· Rui Hu, Douglas P. Wiens; 2017; Robust
Discrimination Designs over Hellinger Neighbourhoods; Annals of Statistics, 45,
1638-1663. 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; Nonlinear Quantile
Regression Design; JSM Proceedings;
Alexandria, VA: American Statistical Association, 3602-3609.
· 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.
· 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.
· 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.
· 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, 3-15. Special 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.
· 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.
· 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.