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'''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 his solution to the multidimensional rate of convergence problem for the central limit theorem in his Ph.D. thesis |
'''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 his solution to the multidimensional rate of convergence problem for the central limit theorem in his Ph.D. thesis<ref name=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}}</ref> published in [[Bulletin of the American Mathematical Society]]<ref name=bulletin>{{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}}</ref>, |
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and his solution of the validity of the formal Edgeworth expansion in collaboration with [[Jayanta Kumar Ghosh|J.K. Ghosh]] in 1978.<ref name=Edgeworth>{{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}}</ref> The first cited topic is further elaborated in the research monograph |
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,<ref name=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}}</ref> published in [[Bulletin of the American Mathematical Society]] |
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<ref name=Monograph>>{{cite book |
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,<ref name=bulletin>{{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}}</ref> |
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| last1 = Bhattacharya | first1 = R. N. |
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and his solution of the validity of the formal Edgeworth expansion in collaboration with [[Jayanta Kumar Ghosh|J.K. Ghosh]] in 1978. |
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| last2 = Ranga Rao | first2 = R. |
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| ⚫ | |||
| mr = 0436272 |
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.<ref name=book>{{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}}</ref> He is married to Bithika Gouri Bhattacharya, with a daughter, son, and four grandchildren. |
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| publisher = John Wiley & Sons |
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| title = Normal approximation and asymptotic expansions |
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| year = 1976}} |
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| ⚫ | </ref> written jointly with [[R._Ranga_Rao|R. Ranga Rao]]. 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.<ref name=NIM>{{cite book |
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| last1 = Bhattacharya | first1 = Abhishek |
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| last2 = Bhattachayra | first2 = Rabi |
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| publisher = Cambridge University Press |
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| title = Nonparametric Inference on Manifolds: with Application to Shape Spaces |
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| year = 2012}}</ref> He is a co-author of three graduate texts<ref name="graduatetext2007">{{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}}</ref><ref name="graduatetext2009">{{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 |url=https://epubs.siam.org/doi/book/10.1137/1.9780898718997}}</ref><ref name="graduatetext2016">{{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}}</ref> and four research monographs<ref name="monograph1">{{cite book |last1=Bhattacharya |first1=Rabi |last2=Denker |first2=Manfred |title=Asymptotic Statistics |date=1990 |publisher=Birkhäuser Basel |isbn=978-3-0348-9964-2 |url=https://link.springer.com/book/10.1007/978-3-0348-9254-4}}</ref><ref name="monograph2">{{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}}</ref><ref name="monograph3">{{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].}}</ref><ref name="NIM" />. A comprehensive selection of Bhattacharya's work is available in a special 2016 Contemporary Mathematics volume published by Birkhäuser.<ref name=Contemporary>{{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}}</ref> He is married to Bithika Gouri Bhattacharya, with a daughter, a son, and four grandchildren. |
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== Early life and education == |
== Early life and education == |
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Rabindra N. Bhattacharya was born January 11, 1937 in his ancestral home Porgola, [[Barisal District]], in the present country of Bangladesh. He received his [[B.S.]] and [[M.S.]] degree in 1956 and 1959 respectively from |
Rabindra N. Bhattacharya was born January 11, 1937 in his ancestral home Porgola, [[Barisal District]], in the present country of Bangladesh. He received his [[B.S.]] and [[M.S.]] degree in 1956 and 1959 respectively from Presidency College and Calcutta University. He completed his [[Ph.D.]] under direction of [[Patrick Billingsley]] at the [[University of Chicago]] in 1967. |
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== Academic career == |
== Academic career == |
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His first academic position was as Assistant Professor in the [https://statistics.berkeley.edu/ Department of Statistics] at the [[University of California, Berkeley]]. In 1972, he accepted a position as Associate Professor in the [http://math.arizona.edu/ Department of Mathematics] at the [[University of Arizona]] in Tucson, and was promoted to Full Professor in 1977. In 1982, he moved to [[Indiana University Bloomington|Indiana University]], where he remained until his retirement in 2002. Upon retirement from Indiana University, he was re-appointed as a tenured Full Professor at the University of Arizona, |
His first academic position was as Assistant Professor in the [https://statistics.berkeley.edu/ Department of Statistics] at the [[University of California, Berkeley]]. In 1972, he accepted a position as Associate Professor in the [http://math.arizona.edu/ Department of Mathematics] at the [[University of Arizona]] in Tucson, and was promoted to Full Professor in 1977. In 1982, he moved to [[Indiana University Bloomington|Indiana University]], where he remained until his retirement in 2002. Upon retirement from Indiana University, he was re-appointed as a tenured Full Professor at the University of Arizona, retiring in May, 2018. |
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== Awards and honors == |
== Awards and honors == |
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Revision as of 07:40, 16 July 2018
 | This article needs additional citations for verification. (June 2018) |
Rabindra N. Bhattacharya | |
|---|---|
| Born | 11 January 1937 |
| Alma mater | University of Chicago |
| Awards | Humboldt Prize (1994/1995) Guggenheim Fellowship (2000) |
| Scientific career | |
| Fields | Mathematics Statistics |
| Institutions | University of California, Berkeley University of Arizona Indiana University |
| Thesis | Berry-Esseen Bounds for the Multi-Dimensional Central Limit Theorem (1967) |
| Doctoral advisor | Patrick Billingsley |
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 his solution to the multidimensional rate of convergence problem for the central limit theorem in his Ph.D. thesis[1] published in Bulletin of the American Mathematical Society[2], and his solution of the validity of the formal Edgeworth expansion in collaboration with J.K. Ghosh in 1978.[3] The first cited topic is further elaborated in the research monograph [4] written jointly with R. Ranga Rao. 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[9][10][11][5]. A comprehensive selection of Bhattacharya's work is available in a special 2016 Contemporary Mathematics volume published by Birkhäuser.[12] He is married to Bithika Gouri Bhattacharya, with a daughter, a son, and four grandchildren.
Early life and education
Rabindra N. Bhattacharya was born January 11, 1937 in his ancestral home Porgola, Barisal District, in the present country of Bangladesh. He received his B.S. and M.S. degree in 1956 and 1959 respectively from Presidency College and Calcutta University. He completed his Ph.D. under direction of Patrick Billingsley at the University of Chicago in 1967.
Academic career
His first academic position was as Assistant Professor in the Department of Statistics at the University of California, Berkeley. In 1972, he accepted a position as Associate Professor in the Department of Mathematics at the University of Arizona in Tucson, and was promoted to Full Professor in 1977. In 1982, he moved to Indiana University, where he remained until his retirement in 2002. Upon retirement from Indiana University, he was re-appointed as a tenured Full Professor at the University of Arizona, retiring in May, 2018.
Awards and honors
Bhattacharya has received many awards and honors, including Special Invited Papers in the Annals of Probability (1977) and the Annals of Applied Probability (1999). He was also an elected Fellow of Institute of Mathematical Statistics (1978), a special invited lecturer at the German Mathematical Meeting (1989) and IMS Annual Meeting (1996) for Medallion Lecture. He received the prestigious Humboldt Prize (1994/1995) and the Guggenheim Fellowship (2000).
References
- ^ Bhattacharya, Rabindra N. (1967). Berry-Esseen Bounds for the Multi-Dimensional Central Limit Theorem (PhD). University of Chicago.
- ^ 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.
- ^ Bhattacharya, R.N.; Ghosh, J.K. (1978). "On the Validity of the Formal Edgeworth Expansion". The Annals of Statistics. 6 (2): 434–451. JSTOR 2958887.
- ^ >Bhattacharya, R. N.; Ranga Rao, R. (1976). Normal approximation and asymptotic expansions. John Wiley & Sons. MR 0436272.
- ^ a b Bhattacharya, Abhishek; Bhattachayra, Rabi (2012). Nonparametric Inference on Manifolds: with Application to Shape Spaces. Cambridge University Press.
- ^ Bhattacharya, Rabi; Waymire, Edward C. (2007). A Basic Course in Probability Theory. Springer. ISBN 978-0-387-71939-9.
- ^ Bhattacharya, Rabi N.; Waymire, Edward C. (2009). Stochastic Processes with Applications. SIAM. Classics in Applied Mathematics 61. ISBN 978-0-89871-689-4.
- ^ Bhattacharya, Rabi; Lin, Lizhen; Patrangenaru, Victor (2016). A Course in Mathematical Statistics and Large Sample Theory. Springer. ISBN 978-1-4939-4032-5.
- ^ Bhattacharya, Rabi; Denker, Manfred (1990). Asymptotic Statistics. Birkhäuser Basel. ISBN 978-3-0348-9964-2.
- ^ Bhattacharya, Rabi; Majumdar, Mukul (2007). Random dynamical systems : theory and applications. Cambridge [u.a.]: Cambridge Univ. Press. ISBN 978-0521532723.
- ^ 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.
{{cite book}}: CS1 maint: extra punctuation (link) - ^ Denker, Manfred; Waymire, Edward C., eds. (2016). Rabi N. Bhattacharya : Selected Papers. Contemporary Mathematicians. Birkhäuser. ISBN 978-3-319-30190-7.
