**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; 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.

· 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**, 3-15*. *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.

·