An Introduction to Probability Theory

An Introduction to Probability Theory (Paperback)

By Kishore K Das 
Publisher: ASIAN BOOKS
Edition: Paperback
Language: English
ISBN: 8184121415
EAN: 9788184121414
No. of Pages: 452
Publish Date: 2016-08-11
Binding: Paperback
Ships to India.

Description

About The Book

This book is written keeping in view the students of B.Sc, (Honours in Statistics), M.Sc. in Statistics, students preparing for the National Eligibility Test (NET) in Mathematical Science, Indiana Statistical Service (ISS), Indian Administrative service (IAS) and other state civil services examination with Statistics as one of the subjects. The book is divided into twenty-one chapters. It covers some of the most important topics of probability and stochastic process. The book is a utility text and to the readers of the book it will come as a hand book at all the different levels for which the book is intended. The book starts with some mathematical preliminaries like set theory, permutation and combination etc. those which are essential for the understanding of probability theory. A details discussion on random variables and their properties are provided. Some of the important generating functions and their properties are also been dealt with. A brief discussion is made about he commonly known discrete, continuous and sampling distributions. Bivariate random variables, law of large numbers, central limit theorem, convergence of random variables are some of the highlights of the book with special reference to bivariate normal distribution are also discussed. Elements of random process like Poisson process, Markov chains, simple birth and death process, gambler ruin problem etc. are also discussed. The coverage of the book is wide and pays more stress to those important topics that are not generally discussed in other books of probability or mathematical statistics.

Table of Contents :

Preliminaries

Elementary Probability

Conditional Probability and Stochastic Independence

Bayes Theorem

Urn Models

Random Variables and Probability Functions

Mathematical Expectations

Standard Distributions

Generating Functions

Some Important Inequalities

Convergence of Random Variables

The Law of Large Numbers

The Central Limit Theorem

Two Dimensional Random Variable

Reliability

Elements of Stochastic Process

Markov Process

Random Walk

Poisson Process

Branching Process

Special Random Process

Appendix

Index.

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Specification

Title: An Introduction to Probability Theory
Publisher: ASIAN BOOKS
Author: Kishore K Das
Edition: Paperback
Language: English
ISBN: 8184121415
EAN: 9788184121414
No. of Pages: 452
Publish Date: 2016-08-11
Binding: Paperback

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