Rabi Bhattacharya

{{Short description|Indian mathematician}}

{{Infobox scientist

| name = Rabindra N. Bhattacharya

| image = RabiNBhattacharya.jpg

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| birth_date = {{birth date and age|1937|01|11|df=yes}}

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| fields = Mathematics
Statistics

| workplaces = University of California, Berkeley
University of Arizona
Indiana University

| education = Presidency College
Calcutta University
University of Chicago

| doctoral_advisor = Patrick Billingsley

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| awards = Humboldt Prize (1993)
Guggenheim Fellowship (2000)

| thesis_title = Berry-Esseen Bounds for the Multi-Dimensional Central Limit Theorem

| thesis_year = 1967

| website = {{URL|http://math.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{{cite thesis |type=PhD |last=Bhattacharya |first=Rabindra N. |title=Berry-Esseen Bounds for the Multi-Dimensional Central Limit Theorem |date=1967 |publisher=University of Chicago}} published in the Bulletin of the American Mathematical Society{{cite journal |doi=10.1090/S0002-9904-1968-11923-8 |last=Bhattacharya |first=R.N. |title=Berry-Esseen bounds for the multi-dimensional central limit theorem |journal=Bull. Amer. Math. Soc. |volume=74 |issue=2 |pages=285–287 |date=1968|doi-access=free }} and further elaborated in a research monograph{{cite book

| last1 = Bhattacharya | first1 = R. N.

| last2 = Ranga Rao | first2 = R.

| mr = 0436272

| publisher = John Wiley & Sons

| title = Normal Approximation and Asymptotic Expansions

| year = 1976

}} 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.{{cite journal |last1=Bhattacharya |first1=R.N. |last2=Ghosh |first2=J.K. |title=On the Validity of the Formal Edgeworth Expansion |journal=The Annals of Statistics |volume=6 |issue=2 |date=1978 |pages=434–451|jstor = 2958887|doi=10.1214/aos/1176344134 |doi-access=free }} 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.

{{cite book |last1=Bhattacharya |first1=Abhishek |last2=Bhattacharya |first2=Rabi |title=Nonparametric Inference on Manifolds : with Applications to Shape Spaces |date=2012 |publisher=Cambridge University Press |location=Cambridge |isbn=9781107019584 |url=http://www.cambridge.org/gb/academic/subjects/statistics-probability/statistical-theory-and-methods/nonparametric-inference-manifolds-applications-shape-spaces}} He is a co-author of three graduate texts{{cite book |last1=Bhattacharya |first1=Rabi |last2=Waymire |first2=Edward C. |title=A Basic Course in Probability Theory |date=2007 |publisher=Springer |isbn=978-0-387-71939-9 |url=https://www.springer.com/gb/book/9780387719399}}{{cite book |last1=Bhattacharya |first1=Rabi N. |last2=Waymire |first2=Edward C. |title=Stochastic Processes with Applications |date=2009 |publisher=SIAM. Classics in Applied Mathematics 61. |isbn=978-0-89871-689-4 |doi=10.1137/1.9780898718997 }}{{cite book |last1=Bhattacharya |first1=Rabi |last2=Lin |first2=Lizhen |last3=Patrangenaru |first3=Victor |title=A Course in Mathematical Statistics and Large Sample Theory |date=2016 |publisher=Springer |isbn=978-1-4939-4032-5 |url=https://www.springer.com/la/book/9781493940301}} and four research monographs.{{cite book |last1=Bhattacharya |first1=Rabi |last2=Denker |first2=Manfred |title=Asymptotic Statistics |date=1990 |publisher=Birkhäuser Basel |isbn=978-3-0348-9964-2 |doi=10.1007/978-3-0348-9254-4 }}{{cite book |last1=Bhattacharya |first1=Rabi |last2=Majumdar |first2=Mukul |title=Random Dynamical Systems : Theory and Applications |date=2007 |publisher=Cambridge Univ. Press |location=Cambridge [u.a.] |isbn=978-0521532723}}{{cite book |last1=Bhattacharya |first1=Rabi N. |last2=Rao |first2=R. Ranga |title=Normal Approximation and Asymptotic Expansions |date=2010 |publisher=Society for Industrial and Applied Mathematics |location=Philadelphia |isbn=978-0-89871-897-3 |edition=ed. rev. corr. [new chapter].}} A comprehensive selection of Bhattacharya's work is available in a special 2016 Contemporary Mathematicians volume published by Birkhäuser.{{cite book |title=Rabi N. Bhattacharya : Selected Papers |editor-last1=Denker |editor-first1=Manfred |editor-last2=Waymire |editor-first2=Edward C. |date=2016 |isbn=978-3-319-30190-7 |publisher=Birkhäuser |series=Contemporary Mathematicians}} He is married to Bithika Gouri Bhattacharya, with a daughter, a son, and four grandchildren.