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An Intro to the Theory of Probability

by Mukhopadhyay Parimal

A systematic introduction to probability theory

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Hardcover New English

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AlbakiReads Editorial

A systematic introduction to probability theory

Mukhopadhyay’s text connects the classical treatment of probability with its modern axiomatic framework. Across 474 pages, it reviews foundational material before moving through univariate and multivariate distributions, convergence of random variables, and elements of stochastic processes. The coverage also includes the power series distribution. Explanatory notes, worked examples, and exercises with hints accompany the theoretical material, making the book’s structure useful for studying concepts alongside applications and practice. The stated prerequisite is graduate-level mathematics, placing this as a substantial textbook for readers approaching probability at an advanced level.

Good fit for readers who enjoy

  • Graduate-level mathematics students seeking a systematic study of probability theory.
  • Readers interested in axiomatic probability alongside classical approaches.
  • Students looking for worked examples and exercises with hints.

Themes

Probability theoryAxiomatic and classical approachesProbability distributionsConvergence of random variablesStochastic processes

Based on publisher information and book metadata.

Book overview

The Theory of Probability is a major tool that can be used to explain and understand the various phenomena in different natural, physical and social sciences. This book provides a systematic exposition of the theory in a setting which contains a balanced mixture of the classical approach and the modern day axiomatic approach. After reviewing the basis of the theory, the book considers univariate distributions, bivariate normal distribution, multinomial distribution, convergence of random variables and elements of stochastic process. Difficult ideas have been explained lucidly and augmented with explanatory notes, examples and exercises. The basic requirement for reading the book is the knowledge of mathematics at graduate level.This book tries to explain the difficult ideas in axiomatic approach to the theory in a clear and comprehensive manner. It addresses several unusual distributions including the power series distribution. Readers will find many worked-out examples and exercises with hints, which will make the book easily readable and engaging.The author is a former professor of the Indian Statistical Institute, India.
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