Measure Theory for Analysis and Probability by Alok Goswami, Hardcover, 9789819779284 | Buy online at The Nile
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Measure Theory for Analysis and Probability

Author: Alok Goswami and B.V. Rao   Series: Indian Statistical Institute Series

Measure Theory for Analysis and Probability
Hardcover

This book covers major measure theory topics with a fairly extensive study of their applications to probability and analysis.

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Summary

This book covers major measure theory topics with a fairly extensive study of their applications to probability and analysis.

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Description

This book covers major measure theory topics with a fairly extensive study of their applications to probability and analysis. It begins by demonstrating the essential nature of measure theory before delving into the construction of measures and the development of integration theory. Special attention is given to probability spaces and random variables/vectors. The text then explores product spaces, Radon–Nikodym and Jordan–Hahn theorems, providing a detailed account of 

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About the Author

Alok Goswami is Visiting Professor in the School of Mathematical and Computational Science at the Indian Association for the Cultivation of Science, Kolkata, West Bengal India. Earlier, he was a faculty member in the Theoretical Statistics and Mathematics Unit at the Indian Statistical Institute, West Bengal, Kolkata, India, for nearly 30 years, until his retirement in 2019, as Professor. He received his M.Stat. degree from the Indian Statistical Institute in 1980 and his Ph.D. degree from the Department of Mathematics in the University of Illinois at Urbana-Champaign, U.S.A., in 1986. He visited many other premier universities and institutes of India and abroad and is widely regarded as one of the top academicians in the field of probability theory. His primary research interests are probability and stochastic processes, while he has also done some collaborative research in statistics. 

B.V. Rao has been at Chennai Mathematical Institute, Tamil Nadu, India, since 2009, and is currently a Visiting Faculty there. Earlier, he served as a faculty member at the Indian Statistical Institute, Kolkata, for more than 30 years, before retiring as a Distinguished Professor in 2009. He received his M.Sc. in Statistics from Osmania University, Hyderabad, India, in 1965, and his Ph.D. from the Indian Statistical Institute, Kolkata, in 1970. His research interests include descriptive set theory, stochastic processes, characterization of distributions and statistics, percolation theory, iterated function systems and spin glasses. He has lectured at several places in India and abroad.

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Product Details

Publisher
Springer Verlag, Singapore | Springer Nature
Published
11th March 2025
Edition
2024th
Pages
377
ISBN
9789819779284

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