Mathematical statistics (both fixed sample and asymptotic),
Applied probability, Analytic number theory,
Inequalities, Connecting different branches of mathematics.
More specifically,
Decision theory and inference, minimaxity, thresholding,
Bayes theory, adaptation,
extreme value theory, function and density estimation,
efficient and robust estimation,
limit theorems and higher order asymptotics;
infinite divisibility, inequalities on moments, tails, of the Poincare type,
of the Hardy-Littlewood maximal type, on matrix norms;
exact calculations in distribution theory; asymptotics of the prime counting function, prime gaps,
lattice point counting, packing and covering;
L2 theory in general Hilbert spaces, and complex analytic
techniques for asymptotics of integrals and for
random matrices.
Education, Professional Honors and Societies
PhD, 1984, Indian Statistical Institute
Fellow of the Institute of Mathematical Statistics, Elected 1993
Member, IMS Council, 2014-2016
Member, IMS Council, 2008-09
Elected one of the 10 Best Teachers in the School
of Science; 1987-88; 1997-98
Past Editorial Work
Editor, Lecture
Notes and Monograph Series, Institute of Mathematical Statistics,
2008-2009
Editor, Institute of Mathematical Statistics Collections and Volumes Series, 2008-2009
Associate Editor, Journal of American Statistical Association, 1996-
1999
Associate Editor, Journal of Statistical Planning and Inference, 1996-
2003
Associate Editor, International Statistical Review, 1995-1997
Associate Editor, Sankhya, 1997-2005
Volume Editorships
Editor, Selected Works of D. Basu, Springer
Editor, The Herman Rubin Festschrift, Institute of Mathematical
Statistics
Editor, Basu Memorial Issue of Sankhya, Parts I and II
Courses Taught
Statistics for Technology, Statistical Methods, Applied Linear Regression,
Experimental statistics, Applied multivariate analysis, Time series, Probability
theory, Probability for management, Statistical inference, Mathematical statistics, Decision theory and
Bayesian analysis, Advanced estimation, Advanced testing, Bootstrap, Asymptotic
theory, Nonparametric statistics, Inference for Stochastic processes, Spline smoothing, Tools of simulation, Calculus,
Advanced calculus, Linear Algebra.
My Coauthors
Larry Brown, Herman Rubin, Larry Shepp, Bill Studden, Iain Johnstone, Jim Berger, Tony Cai, Dimitris Politis, George Casella, Bill Strawderman, J.K. Ghosh, Jim Zidek, S.N. Lahiri, Jordan Stoyanov, Len Haff, John Marden, Gene Hwang, Brani Vidakovic, Arup Bose, G.D. Lin, Sanjib Basu, Christian Genest, Bimal Sinha, Alan Gelfand, Dipak Dey, Hyun-Sook Oh, Mei-mei Zen, S. Mukherjee, Wen-Chi Tsai, M. Delampady, John Peterson, Suzanne Lorenz, Laura Cayon, Weizhen Wang, Chuanbo Zhang, Tonglin Zhang