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A lucid presentation of modern probability theory based on Measure theoretic approach with examples. Presentation of the genesis of all standard probability distributions (Discrete, Absolutely Continuous and Singular Distributions) inclusive of circular, Singular distributions. New Interpretations of some distributions like Pareto, Logistic etc. Characterization of Distributions and inclusion of Censoring of Distributions is a unique feature of the book. Coverage of Regression Analysis in a text book of statistical methodology is also a new feature of the book. A large number of solved and unsolved examples is also a special feature of the book.