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Lectures in Elementary Probability Theory and Stochastic Processes

Lectures in Elementary Probability Theory and Stochastic Processes Cover

Synopses & Reviews

Publisher Comments:

This text is designed for undergraduate mathematics students or graduate students in the sciences. Each chapter corresponds to a fifty-minute lecture. LECTURES IN ELEMENTARY PROBABILITY THEORY AND STOCHASTIC PROCESSES can be used in a prerequisite course for Statistics (for math majors) or Mathematical Modeling. The first eighteen chapters could be used in a one-quarter course, and the entire text is appropriate for a one-semester course.

Synopsis:

This text is designed for undergraduate mathematics students or graduate students in the sciences. Each chapter corresponds to a fifty-minute lecture. LECTURES IN ELEMENTARY PROBABILITY THEORY AND STOCHASTIC PROCESSES can be used in a prerequisite course for Statistics (for math majors) or Mathematical Modeling. The first eighteen chapters could be used in a one-quarter course, and the entire text is appropriate for a one-semester course.

Table of Contents

1 Preliminaries

2 Sample Space and Events

3 Probability and Area

4 Probability Measures

5 Basic Rules of Probability Calculus

6 Sampling

7 Counting Subsets

8 Discrete Distributions

9 Conditional Probabilities

10 Independence and Bayes Theorem

11 The Principle of Maximum Likelihood

12 Random Variables

13 Distribution Functions

14 Continuous Random Variables

15 Expectation and Moments

16 Covariance and Correlation

17 The Law of Large Numbers

18 Moment Generating Functions

19 Multivariate Distributions

20 Bivariate Normal Distributions

21 Finite Markov Chains, Basic Concepts

22 Homogeneous Markov Chains

23 Random Walks

24 Poisson Processes

Solutions and Hints for Selected Problems

Glossary of Symbols

Index

Bibliography

Product Details

ISBN:
9780072448900
Publisher:
McGraw-Hill Science/Engineering/Math
Location:
Dubuque, Iowa
Author:
Falmagne, Jean-Claude
Subject:
Statistics
Subject:
Probabilities
Subject:
Stochastic processes
Subject:
Probability & Statistics - General
Copyright:
Edition Number:
1
Series Volume:
7
Publication Date:
June 2002
Binding:
Hardcover
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
274
Dimensions:
9.34x6.56x.61 in. 1.20 lbs.
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