Introduction to Probability and Statistics for Engineers and Scientists – Sheldon M. Ross – 5th Edition

Dedication
Preface
Organization and Coverage
Supplemental Materials
Acknowledgments

Chapter 1. Introduction to Statistics
1.1 Introduction
1.2 Data Collection and Descriptive Statistics
1.3 Inferential Statistics and Probability Models
1.4 Populations and Samples
1.5 A Brief History of Statistics
Problems

Chapter 2. Descriptive Statistics
2.1 Introduction
2.2 Describing Data Sets
2.3 Summarizing Data Sets
2.4 Chebyshev’s Inequality
2.5 Normal Data Sets
2.6 Paired Data Sets and the Sample Correlation Coefficient
Problems

Chapter 3. Elements of Probability
3.1 Introduction
3.2 Sample Space and Events
3.3 Venn Diagrams and the Algebra of Events
3.4 Axioms of Probability
3.5 Sample Spaces Having Equally Likely Outcomes
3.6 Conditional Probability
3.7 Bayes’ Formula
3.8 Independent Events
Problems

Chapter 4. Random Variables and Expectation
4.1 Random Variables
4.2 Types of Random Variables
4.3 Jointly Distributed Random Variables
4.4 Expectation
4.5 Properties of the Expected Value
4.6 Variance
4.7 Covariance and Variance of Sums of Random Variables
4.8 Moment Generating Functions
4.9 Chebyshev’s Inequality and the Weak Law of Large Numbers
Problems

Chapter 5. Special Random Variables
5.1 The Bernoulli and Binomial Random Variables
5.2 The Poisson Random Variable
5.3 The Hypergeometric Random Variable
5.4 The Uniform Random Variable
5.5 Normal Random Variables
5.6 Exponential Random Variables
5.7 The Gamma Distribution
5.8 Distributions Arising from the Normal
5.9 The Logistics Distribution
Problems

Chapter 6. Distributions of Sampling Statistics
6.1 Introduction
6.2 The Sample Mean
6.3 The Central Limit Theorem
6.4 The Sample Variance
6.5 Sampling Distributions from a Normal Population
6.6 Sampling from a Finite Population
Problems

Chapter 7. Parameter Estimation
7.1 Introduction
7.2 Maximum Likelihood Estimators
7.3 Interval Estimates
7.4 Estimating the Difference in Means of Two Normal Populations
7.5 Approximate Confidence Interval for the Mean of a Bernoulli Random Variable
7.6 Confidence Interval of the Mean of the Exponential Distribution
7.7 Evaluating a Point Estimator
7.8 The Bayes Estimator
Problems

Chapter 8. Hypothesis Testing
8.1 Introduction
8.2 Significance Levels
8.3 Tests Concerning the Mean of a Normal Population
8.4 Testing The Equality of Means of Two Normal Populations
8.5 Hypothesis Tests Concerning the Variance of a Normal Population
8.6 Hypothesis Tests in Bernoulli Populations
8.7 Tests Concerning the Mean of a Poisson Distribution
Problems

Chapter 9. Regression
9.1 Introduction
9.2 Least Squares Estimators of the Regression Parameters
9.3 Distribution of the Estimators
9.4 Statistical Inferences about the Regression Parameters
9.5 The Coefficient of Determination and the Sample Correlation Coefficient
9.6 Analysis of Residuals: Assessing the Model
9.7 Transforming to Linearity
9.8 Weighted Least Squares
9.9 Polynomial Regression
9.10 Multiple Linear Regression
9.11 Logistic Regression Models for Binary Output Data
Problems

Chapter 10. Analysis of Variance
10.1 Introduction
10.2 An Overview
10.3 One-Way Analysis of Variance
10.4 Two-Factor Analysis of Variance: Introduction and Parameter Estimation
10.5 Two-Factor Analysis of Variance: Testing Hypotheses
10.6 Two-Way Analysis of Variance with Interaction
Problems

Chapter 11. Goodness of Fit Tests and Categorical Data Analysis
11.1 Introduction
11.2 Goodness of Fit Tests When All Parameters are Specified
11.3 Goodness of Fit Tests When Some Parameters are Unspecified
11.4 Tests of Independence in Contingency Tables
11.5 Tests of Independence in Contingency Tables Having Fixed Marginal Totals
11.6 The Kolmogorov–Smirnov Goodness of Fit Test for Continuous Data
Problems

Chapter 12. Nonparametric Hypothesis Tests
12.1 Introduction
12.2 The Sign Test
12.3 The Signed Rank Test
12.4 The Two-Sample Problem
12.5 The Runs Test for Randomness
Problems

Chapter 13. Quality Control
13.1 Introduction
13.2 Control Charts for Average Values: The X¯ Control Chart
13.3 S-Control Charts
13.4 Control Charts for the Fraction Defective
13.5 Control Charts for Number of Defects
13.6 Other Control Charts for Detecting Changes in the Population Mean
Problems

Chapter 14. Life Testing
14.1 Introduction
14.2 Hazard Rate Functions
14.3 The Exponential Distribution In Life Testing
14.4 A Two-Sample Problem
14.5 The Weibull Distribution in Life Testing
Problems

Chapter 15. Simulation, Bootstrap Statistical Methods, and Permutation Tests
15.1 Introduction
15.2 Random Numbers
15.3 The Bootstrap Method
15.4 Permutation Tests
15.4.1 Normal Approximations in Permutation Tests
15.5 Generating Discrete Random Variables
15.6 Generating Continuous Random Variables
15.7 Determining the Number of Simulation Runs in a Monte Carlo Study

Problems
Appendix of Tables
Index