ABSTRACT

Many of the problems that engineers face involve randomly varying phenomena of one sort or another. However, if characterized properly, even such randomness and the resulting uncertainty are subject to rigorous mathematical analysis. Taking into account the uniquely multidisciplinary demands of 21st-century science and engineering, Random Phenomena

chapter 0|9 pages

Prelude

chapter 1|22 pages

Two Motivating Examples

chapter 2|4 pages

Part II. Probability

chapter 3|32 pages

Fundamentals of Probability Theory

chapter 4|48 pages

Random Variables and Distributions

chapter 5|34 pages

Multidimensional Random Variables

chapter 6|26 pages

Random Variable Transformations

chapter 7|16 pages

Application Case Studies I: Probability

chapter 3|4 pages

Part III. Distributions

chapter 8|40 pages

Ideal Models of Discrete Random Variables

chapter 10|28 pages

Information, Entropy, and Probability Models

chapter 4|4 pages

Part IV. Statistics

chapter 12|50 pages

Introduction to Statistics

chapter 13|28 pages

Sampling

chapter 14|64 pages

Estimation

chapter 15|96 pages

Hypothesis Testing

chapter 16|84 pages

Regression Analysis

chapter 17|26 pages

Probability Model Validation

chapter 18|34 pages

Nonparametric Methods

chapter 19|64 pages

Design of Experiments

chapter 20|38 pages

Application Case Studies III: Statistics

chapter 5|4 pages

Part V. Applications

chapter 21|34 pages

Reliability and Life Testing

chapter 22|44 pages

Quality Assurance and Control

chapter 23|28 pages

Introduction to Multivariate Analysis