Advertisement

# Introduction to Probability with Statistical Applications

• Géza Schay
Textbook

## Table of contents

1. Front Matter
Pages I-2
2. Géza Schay
Pages 1-13
3. Géza Schay
Pages 15-35
4. Géza Schay
Pages 37-70
5. Géza Schay
Pages 71-125
6. Géza Schay
Pages 127-175
7. Géza Schay
Pages 177-220
8. Géza Schay
Pages 221-275
9. Back Matter
Pages 277-313

## About this book

### Introduction

This textbook is an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and common probability distributions such as the binomial, Poisson, and normal distributions. Main statistical concepts considered are point and interval estimates, hypothesis testing, power function, various statistical tests: z, t, chi-square and Kolmogorov-Smirnov.

Key features:

* Presents rigorous discussion, with definitions, theorems, and proofs, but aimed at a non-specialist audience;

*Avoids linear algebra;

* Treats informally the few unavoidable concepts from multivariable calculus, such as double integrals;

* Motivates new concepts throughout using examples and brief conceptual discussions;

* Develops basic ideas with clear definitions, carefully designed notation and techniques of statistical analysis, along with well-chosen examples, exercises and applications.

The book contains enough material for two semesters but, with judicious selection, it can also be used for a one-semester course, either in probability and statistics or in probability alone. .Advanced undergraduate and graduate students in computer science, engineering, and other natural and social sciences with only a basic background in calculus will benefit from this introductory text balancing theory with applications.

### Keywords

Normal distribution Probability distribution Random variable computer computer science mathematical statistics statistics

#### Authors and affiliations

• Géza Schay
• 1
1. 1.Department of MathematicsUniversity of Massachusetts BostonBostonU.S.A