Indian Statistical Institute Series
Editors-in-Chief
Ayanendranath Basu
Indian Statistical Institute, Kolkata, India
B. V. Rajarama Bhat
Indian Statistical Institute, Bengaluru, India
Abhay G. Bhatt
Indian Statistical Institute, New Delhi, India
Joydeb Chattopadhyay
Indian Statistical Institute, Kolkata, India
S. Ponnusamy
Indian Institute of Technology Madras, Chennai, India
Associate Editors
Atanu Biswas
Indian Statistical Institute, Kolkata, India
Arijit Chaudhuri
Indian Statistical Institute, Kolkata, India
B. S. Daya Sagar
Indian Statistical Institute, Bengaluru, India
Mohan Delampady
Indian Statistical Institute, Bengaluru, India
Ashish Ghosh
Indian Statistical Institute, Kolkata, India
S. K. Neogy
Indian Statistical Institute, New Delhi, India
C. R. E. Raja
Indian Statistical Institute, Bengaluru, India
T. S. S. R. K. Rao
Indian Statistical Institute, Bengaluru, India
Rituparna Sen
Indian Statistical Institute, Chennai, India
B. Sury
Indian Statistical Institute, Bengaluru, India
The Indian Statistical Institute Series, publishes high-quality content in the domain of mathematical sciences, bio-mathematics, financial mathematics, pure and applied mathematics, operations research, applied statistics and computer science and applications with primary focus on mathematics and statistics. Editorial board comprises of active researchers from major centres of the Indian Statistical Institute.
Launched at the 125th birth Anniversary of P.C. Mahalanobis, the series will publish high-quality content in the form of textbooks, monographs, lecture notes and contributed volumes. Literature in this series are peer-reviewed by global experts in their respective fields, and will appeal to a wide audience of students, researchers, educators, and professionals across mathematics, statistics and computer science disciplines.
More information about this series at http://www.springer.com/series/15910
Editors
Arijit Chaudhuri , Sat N. Gupta and Rajkumar Roychoudhury
A Tribute to the Legend of Professor C. R. Rao
The Centenary Volume
1st ed. 2021
Logo of the publisher
Editors
Arijit Chaudhuri
Applied Statistics Unit, Indian Statistical Institute, Kolkata, India
Sat N. Gupta
Department of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, NC, USA
Rajkumar Roychoudhury
Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata, West Bengal, India
ISSN 2523-3114 e-ISSN 2523-3122
Indian Statistical Institute Series
ISBN 978-981-33-6990-0 e-ISBN 978-981-33-6991-7
https://doi.org/10.1007/978-981-33-6991-7
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
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Preface
In order to appropriately observe the centenary celebrations of an illustrious academic like Prof. C. R. Rao, preparations had to start in a timely manner. Since other important organizations and institutions were also expected to organize parallel celebrations, we felt it was not easy to find celebrated speakers and writers to agree to collaborate with us. But happily for us, Prof. Rao himself remained enthusiastic throughout and his advice and guidance were very critical. He gave us a short article to encourage us to go ahead with our project. He gave us an account of his bright career and emailed us a good many photographs, including his own.
We have included in this volume a copy of one of his early papers published by the Calcutta Mathematical Society which is well known among the statisticians around the world. We have annexed a copy of a permission for this insertion gathered from the present authorities of this publishing society.
The present President of Indian Statistical Institute (ISI) has also kindly blessed us with an article on Prof. C. R. Rao, and our present Director also has kindly done the same. Two former Directors of ISI have also contributed their write-ups. An article by one of them is a reproduction from a publication by him in a different source. Two documents authorizing us to implement this reproduction are also cited in this volume.
We were very delighted when the Abel Prize winner and the National Medal of Science (USA) winner Prof. S. R. Varadhan kindly came to Kolkata to give a talk on this occasion in our ISI Auditorium. He further gave us a write-up based on his speech which we have gratefully incorporated in this volume. This is a precious publication by our association.
We feel profound honor in putting together this edited book volume commemorating the centenary year of a legend, Prof. C. R. Rao. We are deeply indebted to all of the distinguished academics who contributed to this volume. We are also grateful to Prof. C. R. Rao himself for blessing this project. Academics like Prof. C. R. Rao appear only once in a generation, and we are extremely honored to play a small role in this commemoration.
Sincerely,
Arijit Chaudhuri
Sat N. Gupta
Rajkumar Roychoudhuri
Acknowledgements
The editors and the publishers gratefully acknowledge the help received from the Director, Indian Statistical Institute and the Reprography and Photography Unit of the Library, for permitting the insertion of the photographs in several articles by the contributing authors.