Brief Course in Mathematical Statistics, A

ISBN: 0131751395

Author: Tanis, Elliot

Condition: New

For a one-semester course in Mathematical Statistics.This innovative new introduction to Mathematical Statistics covers the important concept of estimation at a point much earlier than other texts (Chapter 2). Thought-provoking pedagogical aids help students test their understanding and relate concepts to everyday life. Ideal for courses that offer a little less probability than usual, this book requires one year of calculus as a prerequisite.

• Preface | 1. Probability | 1.1 Basic Concepts | 1.2 Methods of Enumeration | 1.3 Conditional Probability | 1.4 Independent Events | 1.5 Bayes's Theorem | Chapter One Comments | 2. Discrete Distributions | 2.1 Discrete Probability Distributions | 2.2 Expectations | 2.3 Special Discrete Distributions | 2.4 Estimation | 2.5 Linear Functions of Independent Random Variables | 2.6 Multivariate Discrete Distributions | Chapter Two Comments | 3. Continuous Distributions | 3.1 Descriptive Statistics and EDA | 3.2 Continuous Probability Distributions | 3.3 Special Continuous Distributions | 3.4 The Normal Distribution | 3.5 Estimation in the Continuous Case | 3.6 The Central Limit Theorem | 3.7 Approximations for Discrete Distributions | Chapter Three Comemnts | 4. Applications of Statistical Inference | 4.1 Summary of Necessary Theoretical Results | 4.2 Confidence Intervals Using X2 F,and T | 4.3 Confidence Intervals and Tests of Hypotheses | 4.4 Basic Tests Concerning One Parameter | 4.5 Tests of the Equality of Two Parameters | 4.6 Simple Linear Regression | 4.7 More on Linear Regression | 4.8 One-Factor Analysis of Variance | 4.9 Distribution-Free Confidence and Tolerance Intervals | 4.10 Chi-Square Goodness of Fit Tests | 4.11 Contingency Tables | Chapter Four Comments | 5. Computer Oriented Techniques | 5.1 Computation of Statistics | 5.2 Computer Algebra Systems | 5.3 Simulation | 5.4 Resampling | Chapter Five Comments | 6. Some Sampling Distribution Theory | 6.1 Moment-Generation Function Technique | 6.2 M.G.F of Linear Functions | 6.3 Limiting Moment-Generating Functions | 6.4 Use of Order Statistics in Non-regular Cases | Chapter Six Comments