Rabi Bhattacharya

Rabindra N. Bhattacharya
Born (1937-01-11) 11 January 1937 (age 87)
EducationPresidency College
Calcutta University
University of Chicago
AwardsHumboldt Prize (1993)
Guggenheim Fellowship (2000)
Scientific career
FieldsMathematics
Statistics
InstitutionsUniversity of California, Berkeley
University of Arizona
Indiana University
Thesis Berry-Esseen Bounds for the Multi-Dimensional Central Limit Theorem  (1967)
Doctoral advisorPatrick Billingsley
Websitemath.arizona.edu/~rabi/

Rabindra Nath Bhattacharya (born January 11, 1937) is a mathematician/statistician at the University of Arizona. He works in the fields of probability theory and theoretical statistics where he has made fundamental contributions to long-standing problems in both areas. Most notable are (1) his solution to the multidimensional rate of convergence problem for the central limit theorem in his Ph.D. thesis[1] published in the Bulletin of the American Mathematical Society[2] and further elaborated in a research monograph[3] written jointly with R. Ranga Rao and (2) the solution of the validity of the formal Edgeworth expansion in collaboration with J.K. Ghosh in 1978.[4] He has also contributed significantly to the theory and application of Markov processes, including numerous co-authored papers on problems in groundwater hydrology with Vijay K. Gupta, and in economics with Mukul Majumdar. Most recently his research has focused on nonparametric statistical inference on manifolds and its applications. [5] He is a co-author of three graduate texts[6][7][8] and four research monographs.[5][9][10][11] A comprehensive selection of Bhattacharya's work is available in a special 2016 Contemporary Mathematicians volume published by Birkhäuser.[12] He is married to Bithika Gouri Bhattacharya, with a daughter, a son, and four grandchildren.

  1. ^ Bhattacharya, Rabindra N. (1967). Berry-Esseen Bounds for the Multi-Dimensional Central Limit Theorem (PhD). University of Chicago.
  2. ^ Bhattacharya, R.N. (1968). "Berry-Esseen bounds for the multi-dimensional central limit theorem". Bull. Amer. Math. Soc. 74 (2): 285–287. doi:10.1090/S0002-9904-1968-11923-8.
  3. ^ Bhattacharya, R. N.; Ranga Rao, R. (1976). Normal Approximation and Asymptotic Expansions. John Wiley & Sons. MR 0436272.
  4. ^ Bhattacharya, R.N.; Ghosh, J.K. (1978). "On the Validity of the Formal Edgeworth Expansion". The Annals of Statistics. 6 (2): 434–451. doi:10.1214/aos/1176344134. JSTOR 2958887.
  5. ^ a b Bhattacharya, Abhishek; Bhattacharya, Rabi (2012). Nonparametric Inference on Manifolds : with Applications to Shape Spaces. Cambridge: Cambridge University Press. ISBN 9781107019584.
  6. ^ Bhattacharya, Rabi; Waymire, Edward C. (2007). A Basic Course in Probability Theory. Springer. ISBN 978-0-387-71939-9.
  7. ^ Bhattacharya, Rabi N.; Waymire, Edward C. (2009). Stochastic Processes with Applications. SIAM. Classics in Applied Mathematics 61. doi:10.1137/1.9780898718997. ISBN 978-0-89871-689-4.
  8. ^ Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor (2016). A Course in Mathematical Statistics and Large Sample Theory. Springer. ISBN 978-1-4939-4032-5.
  9. ^ Bhattacharya, Rabi; Denker, Manfred (1990). Asymptotic Statistics. Birkhäuser Basel. doi:10.1007/978-3-0348-9254-4. ISBN 978-3-0348-9964-2.
  10. ^ Bhattacharya, Rabi; Majumdar, Mukul (2007). Random Dynamical Systems : Theory and Applications. Cambridge [u.a.]: Cambridge Univ. Press. ISBN 978-0521532723.
  11. ^ Bhattacharya, Rabi N.; Rao, R. Ranga (2010). Normal Approximation and Asymptotic Expansions (ed. rev. corr. [new chapter]. ed.). Philadelphia: Society for Industrial and Applied Mathematics. ISBN 978-0-89871-897-3.
  12. ^ Denker, Manfred; Waymire, Edward C., eds. (2016). Rabi N. Bhattacharya : Selected Papers. Contemporary Mathematicians. Birkhäuser. ISBN 978-3-319-30190-7.