Going beyond the conventional mathematics of Probability Theory, this study views the subject in a wider context. It discusses new results, along with applications of Probability Theory to a variety of problems. The book...Going beyond the conventional mathematics of Probability Theory, this study views the subject in a wider context. It discusses new results, along with applications of Probability Theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis.