ABSTRACT

A First Course in Probability with an Emphasis on Stochastic ModelingProbability and Stochastic Modeling not only covers all the topics found in a traditional introductory probability course, but also emphasizes stochastic modeling, including Markov chains, birth-death processes, and reliability models. Unlike most undergraduate-level probability t

chapter |2 pages

Introduction

chapter 1|28 pages

Basic Notions

chapter 2|24 pages

Independence and Conditional Probability

chapter 3|62 pages

Discrete Random Variables

chapter 6|42 pages

Continuous Random Variables

chapter 8|20 pages

Definitions and Properties

chapter 10|30 pages

Covariance and Correlation

chapter 12|10 pages

Stochastic Processes: Preliminaries

chapter 14|8 pages

Preliminaries

chapter 15|34 pages

Definitions and Properties

chapter 16|18 pages

Brownian Motion and Its Generalizations

chapter 17|26 pages

More on Dependency Structures

chapter 18|26 pages

Some Particular Criteria