Advanced Probability and Statistics

This book highlights the essential contributions of Indian scientists in advanced fields of probability and statistics, showcasing their innovative research and practical applications.

This book provides a comprehensive overview of significant research conducted by Indian scientists in various fields, including pure and applied probability, quantum probability, quantum scattering theory, group representation theory, and general relativity. Advanced Probability and Statistics emphasizes the contributions made by these researchers, showcasing their innovative approaches and findings that have advanced the understanding of these complex subjects.

The text delves into the axiomatic foundations of probability theory as established by A.N. Kolmogorov. It illustrates how the Indian school of probabilists and statisticians has effectively utilized this framework to tackle a range of applied problems. Topics such as parameter estimation, convergence of probability distributions, and martingale characterization of diffusions are explored in depth, providing valuable insights into the practical applications of probability theory.

Advanced Probability and Statistics serves as an essential resource for students and researchers in the fields of Physics and Engineering. It is particularly beneficial for those engaged in advanced studies of probability and statistics, offering a rich compilation of research and methodologies that can enhance their academic and professional pursuits.