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I am an Associate Professor in the Department of Biostatistics
at Columbia University. I am also a statistical consultant in the School of
Social Work. I obtained my Ph.D. in Mathematical Population Genetics from Monash University, Australia, in 1999. I am Associate
Editor of the journal BMC Genetics. My main areas of research interest
include mathematical population genetics, genetic epidemiology, and the
history of probability and statistics. I am also the author of the book “Classic Problems of
Probability” which won the 2012 PROSE Award for Mathematics from The American
Publishers Awards for Professional and Scholarly Excellence BOOK
“Classic Problems of
Probability” is the winner of the 2012 PROSE Award for Mathematics from The
American Publishers Awards for Professional and Scholarly Excellence. http://www.proseawards.com/current-winners.html From the
Back Cover "A great book, one that I will certainly
add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering,
University of New Hampshire Classic
Problems of Probability presents a lively account of the most intriguing
aspects of statistics. The book features a large collection of more than
thirty classic probability problems which have been carefully selected for
their interesting history, the way they have shaped the field, and their
counterintuitive nature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713
Golden Theorem to Parrondo's 1996 Perplexing
Paradox, the book clearly outlines the puzzles and problems of probability,
interweaving the discussion with rich historical detail and the story of how
the mathematicians involved arrived at their solutions. Each problem is given
an in-depth treatment, including detailed and rigorous mathematical proofs as
needed. Some of the fascinating topics discussed by the author include: ·
Buffon's
Needle problem and its ingenious treatment by Joseph Barbier,
culminating into a discussion of invariance ·
Various
paradoxes raised by Joseph Bertrand ·
Classic
problems in decision theory, including Pascal's Wager, Kraitchik's
Neckties, and Newcomb's problem ·
The
Bayesian paradigm and various philosophies of probability ·
Coverage
of both elementary and more complex problems, including the Chevalier de Méré
problems, Fisher and the lady tasting tea, the birthday problem and its various
extensions, and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level. Book Reviewed by
Andrew Dale Book Reviewed
by Uwe Küchler Errata(pdf):
Many of the corrections in the attached have already been made in the second
printing of the book. Please email me at pg2113@columbia.edu if you notice further
errors. BOOK CHAPTER
Errors of Probability in Historical Context. In ‘The Best Writings on Mathematics 2013,’ edited by M. Pitici, Princeton University Press (2014). (pdf)BOOK UNDER PREPARATION
The sequel to “Classic
Problems of Probability” will be called “Classic Chapters in the History of
Statistics” and is under preparation. Here is the Table of Contents so far.(TOC) PUBLICATIONS
1.Gorroochurn, P (2001) Post-Data Inference of Coalescence Times and
Segregating-Site Distribution in a Two-Island Model with Symmetric Migration.
Advances in Applied Probability 33(3): 600-616. (pdf) 2. Gorroochurn, P (2001) Genetic Differentiation and Mean Coalescence
Times in Two Colonies with Asymmetric Migration. University of Mauritius
Research Journal 8: 103-118. 3. Gorroochurn, P (2003) A Note on the
Stationary Distribution of an Infinitesimal Matrix. The Journal of nature
15(1): 39-45. 4. Komenaka IK, Ditkoff BA, Joseph KA, Russo D, Gorroochurn P, Ward M, Horowitz E,
El-Tamer MB, Schnabel FR (2004) The Development of Interval Breast
Malignancies in Patients with BRCA Mutations. Cancer 100(10): 2079-83. 5. Heiman GA, Hodge SE, Gorroochurn
P, J Zhang, Greenberg DA (2004) Effect of population stratification on
case-control association studies. I: Elevation in the false positive rates
and comparisons to confounding risk ratios (a simulation study). Hum Hered
58: 30-39.(pdf) 6.
Gorroochurn P, Hodge SE, Heiman GA, Greenberg DA (2004) Effect of
population stratification on case-control association studies. II:
False-positive rates and their limiting behavior as number of subpopulations
increases. Hum Hered 58: 40-48. (pdf) 7. Heiman, GA, Gorroochurn P, Hodge SE, Greenberg DA (2005) Robustness of
case-controls studies. Cancer Epidemiol Biomarkers Prev 14(6).(pdf)
8.
Gorroochurn P , Hodge SE (2006)
Estimating allele frequencies and inbreeding coefficients in k-allele models. Math Pop Studies,
13: 83-103.(pdf) 9.
Gorroochurn P, Heiman GA, Hodge SE, Greenberg DA
(2006) Centralizing the non-central chi-square: A new method to correct for
population stratification in genetic case-control association studies. Genet Epidemiol, 30: 277-289.(pdf) 10. Bemis DL, Capodice JL, Gorroochurn P, Katz AE, and Buttyan R (2006) Anti-prostate cancer activity of a beta-carboline alkaloid enriched extract from Rauwolfia vomitoria. Int. J Oncol. 29 (5):1065-1073. 11. Durner M, Gorroochurn P, Marini C, and Guerrini R
(2006) Editorial Commentary: Can We Increase the Likelihood of Success for
Future Association Studies in Epilepsy? Epilepsia
47 (10):1617-1621.(pdf) 12. Fine R L, Shah S S, Moulton TA,
Yu IR, Fogelman DR, Richardson M, Burris HA, Samuels BL, Assanasen
C, Gorroochurn P, Hibshoosh H, Orjuela M, Garvin
J, Goldman FD, Dubovsky D, Walterhouse
D, Halligan G (2007) Androgen and c-Kit receptors
in desmoplastic small round cell tumors resistant
to chemotherapy: novel targets for therapy. Cancer Chemother.
Pharmacol. 59 (4):429-437. 13.
Gorroochurn P, Hodge SE, Heiman GA and Greenberg
DA (2007) Invited Article: A unified approach for quantifying, testing
and correcting population stratification in case-control association
studies. Hum Hered 64: 149-159.(pdf) 14.
Gorroochurn P, Hodge SE, Heiman GA, Durner M, Greenberg DA (2007).
Commentary: Non-replication in association studies: 'pseudo-failures' to
replicate? Genetics in Medicine 9(6): 325-331.(pdf) 15. Heiman GA, Ogburn E, Gorroochurn
P, Keyes KM, and Hasin D (2008) Evidence for a two-stage model of
dependence using the NESARC and its implications for genetic association
studies. Drug Alcohol Depend. 92 (1-3):258-266. 16. Zweben A, Pettinati
HM, Weiss RD,Youngblood M, Cox CE, Mattson ME, Gorroochurn P, Ciraulo D. (2008)
Relationship between Medication Adherence and Treatment Outcomes: THE COMBINE
STUDY. Alcoholism: Clinical and Experimental Research 32(9):1661-9. 17. Yaeger R, vila-Bront A, Abdul K, Nolan PC, Grann VR, Birchette MG, Choudhry S, Burchard EG, Beckman KB, Gorroochurn P, Ziv E, Consedine NS, Joe AK (2008) Comparing genetic ancestry and self-described race in african americans born in the United States and in Africa. Cancer Epidemiol Biomarkers Prev 17:1329-1338. 18. Gorroochurn P
(2008) Perils in the Use of Linkage Disequilibrium for Fine Gene Mapping:
Simple Insights from Population Genetics. Cancer Epidemiol Biomarkers Prev
17: 3292-3297.(pdf) 19.
Gorroochurn P, Hodge SE, Heiman GA and Greenberg DA (2009) Comments
on: Review and Evaluation of Methods Correcting for Population Stratification
with a Focus on Underlying Statistical Principles Hum Hered. 67:145–146. 20. Petukhova L, Shimomura Y, Wajid M, Gorroochurn P,
Hodge SE, Christiano AM (2009) The
effect of inbreeding on the distribution of compound heterozygotes: a lesson from
lipase H mutations in autosomal recessive woolly hair. Hum Hered. 68:
117-130. 21. Capodice JL, Gorroochurn
P, Cammack AS, Eric G, McKiernan JM, Benson MC, Stone BA, Katz AE (2009)
Zyflamend in men with high-grade prostatic intraepithelial neoplasia: results
of a phase I clinical trial. J Soc Integr Oncol.
7(2):43-51. 22. Pinto RM, Yu G, Spector AY, Gorroochurn P, McCarthy D (2010).
Substance abuse treatment providers’ involvement in research is associated
with willingness to use findings in practice. Journal of Substance Abuse
Treatment 39: 188–194. 23. Gorroochurn
P, Hodge SE, Heiman GA and Greenberg DA (2010). Comments on ‘Delta-Centralization Fails to
Control for Population Stratification in Genetic Association Studies. Hum Hered. 69:295. 24. Alam ML, Van der Schueren BJ, Ahren B, Wang GC, Swerdlow NJ,
Arias S, Bose M, Gorroochurn P,
Teixeira J, McGinty J, Laferrère
B (2011) Gastric bypass surgery, but not caloric restriction, decreases dipeptidyl peptidase-4 activity in obese patients with
type 2 diabetes. Diabetes Obes
Metab.13(4): 378-381. 25. Drake RE, Caton C, Xie H, Hsu E, Gorroochurn
P, Samet S, Hasin D
(2011). A Prospective 2-year Study of Emergency Department Patients with
Early-phase Primary Psychoses or Substance-induced Psychoses. The American
Journal of Psychiatry. 168(2): 742-748. 26. Herman D, Conover S, Gorroochurn P, Hinterland K, Hoepner L, Susser E (2011) A
Randomized Trial of Critical Time Intervention to Prevent Homelessness in
Persons with Severe Mental Illness following Institutional Discharge.
Psychiatr Serv. 62(7):713-9. 27. Pinto RM, Campbell ANC, Hien D, Yu G, Gorroochurn
P (2011). Retention in the NIDA Clinical Trials Network Women and Trauma
Study: Implications for Post-trial Implementation. American Journal of Orthopsychiatry. 81(2): 210-216. 28. Gorroochurn
P, Hodge SE, Heiman GA, Greenberg DA (2011). An
Improved Delta-Centralization Method for Population Stratification. Human
Heredity. 71(3): 180-185.(pdf) 29. Gorroochurn, P
(2011) Use the Correlation Coefficient to Summarize Regression
Performance?" Teaching Statistics. 33: 81-82. 30. Laferrère B, Reilly D, Arias S, Swerdlow N, Gorroochurn P, Bose M, Bawa B,
Tiexeira J, Stevens RD ,Wenner BR, Bain JR, et al. (2011). Differential
Metabolic Impact of Gastric Bypass Surgery Versus Dietary Intervention in
Obese Diabetic Subjects Despite Identical Weight Loss. Sci. Transl. Med.
3(80), 80re2. 31. Van der Schueren B, Green N, Gorroochurn P, Teixeira J, Altiner S, Laferrère B (2011) Low Vitamin D in Candidates for Bariatric Surgery: Are the
Americans Better Off than the French? Obesity Surgery. 21(7): 948-949. 32. Alam ML, Van der
Schueren BJ, Ahren B,
Wang GC, Swerdlow, NJ, Arias, S, Bose M, Gorroochurn P, Teixeira J, McGinty J; Laferrere B (2011).
Gastric bypass surgery, but not caloric restriction, decreases dipeptidyl peptidase-4 activity in obese patients with
type 2 diabetes. Diabetes Obesity & Metabolism. 13(4): 378-381. 33. Gorroochurn P (2011).
Errors of Probability in Historical Context. American Statistician. 65(4):
246-254. (Also to appear in ‘The Best Writings on Mathematics 2013,’ edited
by M. Pitici, Princeton University Press )(pdf) 34. Shah SH, Crosslin DR,
Haynes CS, Nelson S, Turer CB, Stevens RD, Muehlbauer MJ, Wenner BR, Bain JR,
Laferrère B, Gorroochurn P, Teixeira J, Brantley PJ, Stevens VJ,
Hollis JF, Appel LJ, Lien LF, Batch B, Newgard CB, Svetkey LP. (2012).
Branched-chain amino acid levels are associated with improvement in insulin
resistance with weight loss. Diabetologia. 55(2):321-30. 35. Gorroochurn P
(2012) Some Laws and Problems of Classical Probability and How Cardano
Anticipated Them. Chance 25.4: 13-20 (pdf) 36. Smolak A, Gorroochurn
P, Kamarulzaman A, Janjua
N (2012) Asian
public concern over the ethics of scientists: Predictors and implications for
research ethics. Accountability in Research 19: 370-382. (pdf) 37. McQuistion H.L., Gorroochurn P., Hsu
E., Caton C. L. M. (2013) Risk Factors Associated
with Recurrent Homelessness After a First Homeless Episode. Community Mental
Health Journal (To Appear) 38. Edge M.D., Gorroochurn
P., Rosenberg, N. A. (2013) Windfalls and pitfalls: Applications of
population genetics to the search for disease genes Evolution, Medicine, and
Public Health 2013 (1): 254-272. (pdf) 39. Yin B., Levy D., Meadows
M., Moen T., Gorroochurn P., Cadet E. R., Levine W. N., Ahmad C.S.
(2013) How Does External Rotation Bracing Influence Motion and Functional
Scores After Arthroscopic Shoulder Stabilization? Clinical Orthopaedics and
Related Research (To Appear) 40. Gorroochurn, P.,
Levin, B. (2013) On Two Historical Aspects of Buffon's Needle Problem.
Electronic Journal for History of Probability and Statistics 9, pp. 20. (pdf) 41. Gorroochurn, P. (2014) Thirteen Correct Solutions to the "Problem of Points" and their Histories. The Mathematical Intelligencer (To Appear).
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