Advanced Probability and Statistics: Applications to Physics and Engineering

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This book surveys some of the important research work carried out by Indian scientists in the field of pure and applied probability, quantum probability, quantum scattering theory, group representation theory and general relativity.

It reviews the axiomatic foundations of probability theory by A.N. Kolmogorov and how the Indian school of probabilists and statisticians used this theory effectively to study a host of applied probability and statistics problems like parameter estimation, convergence of a sequence of probability distributions, and martingale characterization of diffusions.

It will be an important resource to students and researchers of Physics and Engineering, especially those working with Advanced Probability and Statistics.

Author(s): Harish Parthasarathy
Edition: 1
Publisher: CRC Press/Manakin Press
Year: 2022

Language: English
Pages: 426
City: Boca Raton

Cover
Half Title
Title Page
Copyright Page
Preface
Table of Contents
1. Classical and Quantum Probability
2. Quantum Scattering Theory
3. Linear Algebra and Operator Theory
4. Group Theory in Statistical Signal Processing and Control
5. Statistical Aspects of EEG Signal Analysis and Image Processing in the Medical Sciences
6. Electromagnetism and Quantum Field Theory
7. Some Aspects of Superstring Theory
8. Superconductivity
9. Some Aspects of Large Deviation Theory
10. Conributions of Some Indian Scientists
11. Applied Differential Equations
12. Quantum Signal Processing
13. Aspects of Circuit Theory and Device Physics
14. Index on the Contents and Notes