Professor Jayanta K Ghosh, D Phil, FNA, Member, Executive Council

Jawahar Lal Nehru Professor & ex-Director, Indian Statistical Institute, Professor Purdue University

RESEARCH INTERESTS

• Asymptotics
• Bayesian
• Bioinformatics and Biologically Related Disciplines (genomics, nutrition, proteomics, statistical genetics)
• Machine Learning
• Massive Data
• Modeling and Model Selection
• Nonparametric Regression/Density and Models
• Statistical Genetics
• Survival Analysis

• Two of my current interests in applications involve public health problems and environmental or ecological statistics. I have also begun new work on ecological data on Western Ghats in India, which is one of the world's leading hot spots for biodiversity.
• In addition to the above major areas, I have worked on many other problems. Some of these are briefly listed: characterization, multiple decision theory, survey sampling, model selection, mixtures, Neyman-Scott problems, U-statistics, Bahadur representation of quantile. Many of the papers in the above areas solve long standing open problems or pioneer new areas, and have been cited often.

Publications

1. (with Ghosal, S. and Ramamoorthi, R. V.) (1999) Posterior consistency of Dirichlet mixtures in density estimation, Ann. Statist., 27, 143-158.

 

2. (with Maiti, P., Mukhopadhyay, A. C. and Pal, M.) (1997) Stochastic modeling and forecasting of discovery reserve and production of hydrocarbon-with an application, has appeared in Sankhy~a Ser B.

 

3. (with Ghosal, S. and Samanta, T.) (1999) Approximation of the posterior distribution in a change point problem, Ann. of Inst. Statist. Math., 51, 479-497.

 

4. (with Srikant, K. R. and Ramamoorthi, R. V.) (1999) Posterior consistency for right censored data, Statistics and Probability Letters, 41, 255-265.

 

5. (with Ghosal, S. and Ramamoorthi, R. V.) (1999) Consistent semiparametric Bayes- ian inference about a location parameter JSPI , 77, 181-193.

 

6. (with Joshi, S. N. and Mukhopadhyay, C.) (1998) Inference about sharp changes in hazard rates, Frontiers in Reliability (eds. A. P. Basu, S. K. Basu and S. Mukhopad- hyay) pp. 133-142, World Scientific, Singapore.

 

7. Bayesian density estimation, has appeared as an invited paper in the proceedings of the International Congress of Mathematics, 1998.

 

8. (with Ghosal, S. and Ramaoorthi, R. V.) (1999) Consistency issues in Bayesian non- parametrics, in Asymptotics, Nonparametrics and Time Series: A tribute to Madan Lal Puri (ed. S. Ghosh), Marcel Dekker, 639-668.

 

9. (with R. Mukerjee) Test statistics arising from quasi-likelihood: Bartlett-adjustment and higher order power to appear in JSPI.

 

10. (with Maiti, P., Rao, T. J., Sinha, B. K.) (1999) Evolution of Statistics in India, IS Review.

 

11. (with Ghosal, S. and vander Vaart, H.) (2000) Convergence rates of posterior distri- bution (Ann. Stat. #2)

 

12. (with Basu, A. Basu, S., Dewanji, A., Majumder, P. P., Chakvabanty, M.) (1998) Projection of HIV Infection in Calcutta, Indian Journal of Medical Research, 107, 159-172.

 

13. Discussion of "The Stochastic Control of Process Capability Indices" by N. D. Singpur- wallah, Test, 7, 47.

 

14. Discussion of Andrew Barron's paper in Proceedings of Sixth Valencia Meeting.

 

15. (with J. O. Berger and Nitai Mukhopadhyay) (2003) Approximations and consistency of the bayes factors as model dimension grows. Journal of Statistical Planning and Inference, 112, 241-258.

 

16. (with T. Samanta) (2000) Nonsubjective Bayes testing - an Overview (2002) JSPI

 

17. (with T. Samanta) (October 2001) Discussion of a paper by Berger and Pericchi ( 103, 205-223 in IMS Lecture Notes)

 

18. (with Peter Hang Ping Zhang) (2000) Sequential estimation in a reliability change point problem, in Perspectives in Statistical Science, (eds. A. K. Basu, J. K. Ghosh, P. K. Sinha and B. K. Sinha) Oxford University Press, New Delhi.

 

19. (with T. Samanta) (2001) Model Selection-An Overview, Current Science, 80, p. 1135- 1144.

 

20. (with J. Bhanja etc.) (2001) A Statistical Approach to Geological Mapping, (2002) Mathematical Geology, 34, 505-528.

 

21. (with T. Samanta)(2002) Towards a Nonsubjective Bayesian Paradigm (in Golden Jubilee volume for Mathematics, I.I.T., Kharagpar, editor J. Misra).

 

22. (with S. Adhikari etc.) (2001) Group Testing and Optimal Design (in volume for Prof. M. N. Das, editors A. Dey et al).

 

23. (with J. Wilbur etc.) Variable selection in High-Dimensional Multivariate Binary Data With Application to the Analysis of Microbial Community DNA Fingerprints (2002), Biometrics, 58, 378-386.

 

24. (with A. A. Messan etc.) Posterior Consistency for Regression Problems, Bernoulli (2003).

 

25. (with Nitai Mukhopadhyay) (2003) Parametric Empirical Bayes Model Selection - Some Theory Methods and Simulations, in IMS lecture notes in honor of Rabi Bhat- tacharya, editors K. Athreya et al.

 

26. (with Arijit Chaudhuri and Mausumi Bose) An Application of Adaptive Sampling to Estimate Highly Localized Population Segments, JSPI (2003).

 

27. (with Ruma Basu and Rahul Mukerjee) (2003) Empirical Bayes Prediction Intervals in a Normal Regression Model: Higher Order Asmptotics, Statistics and Probalility Letters, 63, 197-203.

 

28. (with S. Purkayastha and T. Samanta) (2004) Sequential Probability Ratio Tests Based on Improper Priors, to appear in Sequential Analysis.

 

29. (with S. Purkayastha and T. Samanta) (2005) Role of P-values and other Measures of Evidence in Bayesian Analysis, to appear in Handbook on Bayesian Analysis, eds C.R. Rao and D. Dey, North Holland.

 

30. (with K. Dihidar and T. Samanta) (2004) On Different Clusterings of the Same Data Set, to appear in a volume for B.K. Kale, editors Sushma Bendre et al.

 

31. Is G"oedel's Theorem Relevant in the Mind-Machine Debate? To appear in the pro- ceedings of an international conference of scientists and philosophers at Ramakrishna Mission Institute, Kolkata, editor Dr. S. Bhattacharya.

 

32. (with M. Bogdan and R.W. Doerge) (2004) Modifying the Schwarz Bayesian Informa- tion Criterion to Locate Multiple Interacting Quantitative Trait Loci, Genetics, 167, pp 989-999.

Monograph Book

1. Invariance in Testing and Estimation (Lecture Notes), 1967, published by Indian Statistical Institute, Calcutta.

 

2. Higher Order Asymptotics (based on CBMS-NSF lecture), published jointly by Insti- tute of Mathematical Statistics and American Statistical Association, 1994.

 

3. (with R.V. Ramamoorthi) Bayesian Nonparametrics (Springer 2003).

Book Reviews

1. Simultaneous Statistical Inference by Rupert G. Miller, Sankhy~a, Series A, 1968, 30, 115-116.

 

2. Studies in Mathematical Statistics Theory and Applications, edited by K. Sarkadi and I. Vincze, Sankhy~a, Series, 1969, 31, p. 502.

 

3. Statistics II by J. Aitchison, Sankhy~a, Series A, 1971, 33, p. 483.

 

4. The Teaching of Probability and Statistics, edited by Nennart Rade, Sankhy~a, Series A, 1972, 34, p. 478.

 

5. On Regular Variation and its Application to the Week Convergence of Sample Extremes by L. DeHaan, Sankhy~a, Series A, 1975, 37, 310-311.

 

6. Asymptotic Expansions and the Deficiency Concept in Statistics by W. Alberts, Sankhy~a, Series A, 1980, 42, 132-134.

 

7. Asymptotic Optimality of Likelihood Ratio Tests in Exponential Families by W.C.M. Kallenberg, Sankhy~a, Series A, 1980, 42, 135-137.

 

8. Approximation Theorems of Mathematical Statistics by Robert J. Serfling, New York: John Wiley, 1980 xiv + 371, JASA, 1983, 78, 731-732.

 

9. Some Recent Advances in Statistics, edited by J. Tiago De Oliveira and Benjamin Epstein, Sankhy~a, Series A, 1984, p. 309.

 

10. Recent Developments in Statistical Inference and Data Analysis, edited by K. Matusita, Sankhy~a, Series A, 1984, p. 309.

 

11. Statistics and Truth, Ramanujan Lectures by C.R. Rao, Sankhy~a, 1990, Series B, p. 130.