This book presents a concise introduction to the concepts of probability theory and mathematical statistics. The accompanying in-class and take-home computer laboratory activities reinforce the techniques introduced in the text and are accessible to students with little or no experience with Mathematica
. These laboratory materials present applications in a variety of real-world settings, with data from epidemiology, environmental sciences, medicine, social sciences, physical sciences, manufacturing, engineering, marketing, and sports. Prerequisites include multivariable calculus and familiarity with the basics of set theory, vectors, matrices, and problem-solving using a computer.
Preface | Introductory Probability Concepts | Discrete Probability Distributions | Continuous Probability Distributions | Mathematical Expectation | Limit Theorems | Transition to Statistics | Estimation Theory | Hypothesis Testing Theory | Order Statistics and Quantiles | Two Sample Analysis | Permutation Analysis | Bootstrap Analysis | Multiple Sample Analysis | Linear Least Squares Analysis | Contingency Table Analysis
, Probability and Statistics