Gratefully acknowledged is the financial support of this research by
- U.S. Food and Drug Administration grant 1U01FD006549
- National Science Foundation grants DMS-1310127, DMS-0907241, and
- National Institutes of Health grants R01-AA026368, R01-GM068968, and R01-HL53455
- National Security Agency grant H98230-11-1-0162
- Albert & Elaine Borchard Foundation Center on
International Education Scholar-in-Residence (2010-2011) and International
grants (2014, 2017)
- American Institute of
- USC College Faculty Development Awards
I am broadly interested in statistics and probability, from the pure to the applied. More specifically, much of my work has been in the following areas.
- Sequential analysis: hypothesis testing,
estimation, and design methods for sequential (e.g., streaming) data;
so-called adaptive designs; applications to
clinical trial designs and computational biology
- Multiple hypothesis testing: especially methods for
sequential and streaming data
- Applied probability: Stein's method, optimal
including the "Bomber Problem"
- Optimal experimental design: especially geometric
and sequential methods, medical applications in dosing and dose-finding
- Pharmacokinetics/pharmacodynamics: nonparametric
modeling and Bayesian analysis
- Visual information processing: learning, detection,
applications in medical imaging
Here's a word cloud of some of my recent papers:
My Erdős number is
3 (via Yosi Rinott ➙ Michael
Saks ➙ Paul Erdős).
Clinical Trials: Design and Analysis, Springer Series in
Statistics (2013). (With T. L. Lai and
- B. Turnbull wrote an informative review in Mathematical
Reviews including some historical context for our book
= PDF pre/reprint,
- M-estimation in a diffusion model with application to biosensor transdermal blood alcohol monitoring, under review. (With M. Allayioti, L. Goldstein, S. Luczak, and G. Rosen)
- An Algorithm for nonparametric estimation of a multivariate mixing distribution with applications to population pharmacokinetics, to appear in Pharmaceutics (2021). (With W. Yamada
- Asymptotically optimal sequential FDR and pFDR control with (or without) prior information on the number of signals, Journal of Statistical Planning and Inference 210 (2021) 87-99. (With X. He)
- Sequential tests of multiple hypotheses controlling false discovery and
non-discovery rates, Sequential Analysis 39 (2020) 65-91. (With J. Song)
- Multiple hypothesis tests controlling generalized error rates for
sequential data, Statistica Sinica 28 (2018) 363-398. + supplement
- Bounded size biased couplings, log concave distributions and
of measure for occupancy models, Bernoulli, 24 (2018) 3283-3317. (With L.
Goldstein and Ü. Işlak)
- Report of the Committee Studying Home Run Rates in Major League Baseball (2018) 1-84. (With Albert, J., Blandford, R., Brooks, D., Derenski, J., Goldstein, L., Hosoi, A., Lorden, G., Nathan, A., and Smith, L.) [link
@ MLB.com; peer-reviewed report commissioned by the Commissioner of Major League Baseball]
- The sequential probability ratio test: An efficient alternative to
exact binomial testing for Clean Water Act 303(d) evaluation, Journal of Environmental Management
192 (2017) 89-93. (With S. Bay, C. Chen, L.
Goldstein, and M. Gribble)
- A rejection principle for sequential tests of multiple hypotheses
controlling familywise error rates, Scandinavian Journal of Statistics
43 (2015) 3-19. (With J. Song)
- Stochastic curtailment in adaptive mastery testing:
Improving the efficiency of confidence interval based stopping rules,
Applied Psychological Measurement
39 (2015) 278-292. (With M.
Finkelman, H. Sie, and N. Thompson)
- Sequential tests of multiple hypotheses controlling type I and II
familywise error rates, Journal of Statistical Planning and
Inference 153 (2014) 100-114. (With J. Song)
- A new approach to designing phase I-II cancer trials for cytotoxic
chemotherapies, Statistics in Medicine 33 (2014) 2718-2735.
- A Berry-Esseen bound for the uniform multinomial occupancy model,
Electronic Journal of Probability 18
(2013) 1-29. (With L. Goldstein)
- Comment on "Group sequential tests for delayed responses," Journal of the Royal
Statistical Society, Series B 75 (2013) 46-47.
- Comment on "Change-points: From sequential detection to
biology and back," Sequential Analysis 32 (2013) 19-21.
- Two general methods for population pharmacokinetic modeling:
adaptive grid and non-parametric Bayesian, Journal of Pharmacokinetics and
Pharmacodynamics 40 (2013) 189-199. (With T. Tatarinova
- A new characterization of Elfving's method for high dimensional
computation, Journal of Statistical Planning and
Inference 142 (2012) 863-871.
- Nonparametric population modeling and Bayesian analysis,
Pharmacological Research 64 (2011) 426. (With R. Jelliffe et
- A proof of the Bomber problem's spend-it-all
conjecture, Sequential Analysis
30 (2011) 52-57.
- Incorporating individual and collective ethics into phase I
cancer trial designs, Biometrics
67 (2011) 596-603. (With T. L.
- The Fighter problem: Optimal allocation of a discrete commodity, Advances in Applied Probability 43
(2011) 121-130. (With
- Framework for adaptive multiscale analysis of
nonhomogeneous point processes, Proc. IEEE Eng Med Biol Soc. (2011).
Helgason and P. Abry.)
- On optimal allocation of a continuous resource using an
iterative approach and total positivity, Advances in Applied Probability
42 (2010) 795-815.
(With L. Goldstein,
Y. Rinott, and E. Samuel-Cahn.)
- Approximate dynamic
programming and its
applications to the design of
phase I cancer trials, Statistical
(2010) 245-257. (With T. L. Lai.)
- Multistage tests of multiple hypotheses, Communications in Statistics - Theory
& Methods (Special Issue Honoring M. Akahira, M. Aoshima ed.)
1597-1607. (With T. L. Lai.)
- The spend-it-all region and small time results for the continuous
Bomber problem, Sequential
Analysis 29 (2009) 275-291. (With
Goldstein and E. Samuel-Cahn.)
- Modern sequential
analysis and its applications to computerized adaptive testing,
73 (2008) 473-486. (With M. Finkelman and
T. L. Lai.)
- Generalized likelihood ratio
statistics and uncertainty adjustments in adaptive design of clinical trials, Sequential Analysis
27 (2008) 254-276. (With T. L.
- Efficient adaptive designs with
size adjustment in clinical trials, Statistics in
(With T. L. Lai.) + supplement
- Asymptotically optimal multistage tests of simple
hypotheses, Annals of Statistics 35 (2007) 2075-2105.
- On "Sequential design and estimation in heteroscedastic
Sequential Analysis 26 (2007) 49-51.
- Efficient three-stage t-tests. In Recent Developments in Nonparametric Inference and
Probability: Festschrift for Michael Woodroofe. IMS
Lecture Notes-Mongraph Series, 50 (2006). Institute of Mathematical
Statistics, Hayward, 105-111.
- Optimal multistage sampling in a boundary-crossing problem, Sequential Analysis 25 (2006) 59-84.
- Asymptotically optimal multistage hypothesis tests, PhD. thesis, Caltech, 2004.
@ Caltech; winner of the
W.P. Carey Graduate Dissertation Prize for
dissertation in pure or applied mathematics at Caltech.]
computer evaluation and optimization of image compression of x-ray
coronary angiograms for signal known exactly detection tasks, Optics Express 11 (2003) 460-475. (With M. Eckstein,
C. Abbey, J. Whiting, and F. Bochud.) [link]
- Model observer based optimization of
JPEG image compression, Proc. SPIE Medical Imaging 2000: Image
Perception and Performance 3981 (2000) 106-115. (With M. Eckstein
and C. Abbey.)
performance for JPEG vs. wavelet image compression of x-ray coronary
angiograms, Optics Express 5 (1999) 8-19. (With C. Morioka, M.
Eckstein, J. Hausleiter, and J. Whiting.) [link]
stabilized digital x-ray coronary angiograms improve human visual
detection in JPEG compressed images, Optics Express 4 (1999) 193-199. (With M. Eckstein,
C. Morioka, D. Vodopich, and J. Whiting.) [link]
- Effect of image compression in model
and human observers, Proc. SPIE Medical Imaging 1999: Image Perception and
3663 (1999) 243-252. (With M.
Eckstein, C. Abbey, F. Bochud, and J. Whiting.)
- Image compression and
feature stabilization of dynamically displayed coronary angiograms, Proc. SPIE Medical Imaging 1999: Image Perception and Performance
3363 (1999) 342-346. (With C. Morioka,
J. Whiting, and M. Eckstein.)
- Guided search vs. signal detection theory in target localization
tasks, Investigative Ophthalmology and Visual Science 40 (1999)
1836. (With M. Eckstein, B. Beutter, and L. Stone.)
- Effect of the number of locations in MAFC experiments performed with
mammograms, Proc. of the Far West Image Perception
Alberta, Canada (1999). (With F. Bochud, C. Abbey, D. Vodopich, and M. Eckstein).