Section 1.1:
Properties of Probability
Section 1.2:
Methods of Enumeration
Section 1.3:
Conditional Probability
Section 1.4:
Independent Events
Section 1.5:
Bayes' Theorem
Chapter 2: Discrete DistributionsSection 2.1:
Random Variables of the Discrete Type
Section 2.2:
Mathematical Expectation
Section 2.3:
Special Mathematical Expectations
Section 2.4:
The Binomial Distribution
Section 2.5:
The Hypergeometric Distribution
Section 2.6:
The Negative Binomial Distribution
Section 2.7:
The Poisson Distribution
Chapter 3: Continuous DistributionsSection 3.1:
Random Variables of the Continuous Type
Section 3.2:
The Exponential, Gamma, and Chi-Square Distributions
Section 3.3:
The Normal Distribution
Section 3.4:
Additional Models
Chapter 4: Bivariate DistributionsSection 4.1:
Bivariate Distributions of the Discrete Type
Section 4.2:
The Correlation Coefficient
Section 4.3:
Conditional Distributions
Section 4.4:
Bivariate Distributions of the Continuous Type
Section 4.5:
The Bivariate Normal Distribution
Chapter 5: Distributions of Functions of Random VariablesSection 5.1:
Functions of One Random Variable
Section 5.2:
Transformations of Two Random Variables
Section 5.3:
Several Independent Random Variables
Section 5.4:
The Moment-Generating Function Technique
Section 5.5:
Random Functions Associated with Normal Distributions
Section 5.6:
The Central Limit Theorem
Section 5.7:
Approximations for Discrete Distributions
Section 5.8:
Chebyshev's Inequality and Convergence in Probability
Section 5.9:
Limiting Moment-Generating Functions
Chapter 6: Point EstimationSection 6.1:
Descriptive Statistics
Section 6.2:
Exploratory Data Analysis
Section 6.3:
Order Statistics
Section 6.4:
Maximum Likelihood and Method of Moments Estimation
Section 6.5:
A Simple Regression Problem
Section 6.6:
Asymptotic Distributions of Maximum Likelihood Estimators
Section 6.7:
Sufficient Statistics
Section 6.8:
Bayesian Estimation
Chapter 7: Interval EstimationSection 7.1:
Confidence Intervals for Means
Section 7.2:
Confidence Intervals for the Difference of Two Means
Section 7.3:
Confidence Intervals for Proportions
Section 7.4:
Sample Size
Section 7.5:
Distribution-Free Confidence Intervals for Percentiles
Section 7.6:
More Regression
Section 7.7:
Resampling Methods
Chapter 8: Tests of Statistical HypothesesSection 8.1:
Tests About One Mean
Section 8.2:
Tests of the Equality of Two Means
Section 8.3:
Tests for Variances
Section 8.4:
Tests About Proportions
Section 8.5:
Some Distribution-Free Tests
Section 8.6:
Power of a Statistical Test
Section 8.7:
Best Critical Regions
Section 8.8:
Likelihood Ratio Tests
Section 9.1:
Chi-Square Goodness-of-Fit Tests
Section 9.2:
Contingency Tables
Section 9.3:
One-Factor Analysis of Variance
Section 9.4:
Two-Way Analysis of Variance
Section 9.5:
General Factorial and 2K Factorial Designs
Section 9.6:
Tests Concerning Regression and Correlation
Section 9.7:
Statistical Quality Control
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