Advanced Probability and Statistics

Applications to Physics and Engineering

Harish Parthasarathy

• Verlag: CRC Press
• Jahr: 2022
• ISBN:
  9781000790801
• Auflage: 1
• Thema: Matemáticas
• Thema: Matemática aplicada

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.

Inhaltsverzeichnis

• Cover Page
• Half Title Page
• Title Page
• Copyright Page
• Preface
• 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. Contributions 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