Overview and Descriptive Statistics -- Probability -- Discrete Random Variables and Probability Distributions -- Continuous Random Variables and Probability Distributions -- Joint Probability Distributions -- Statistics and Sampling Distributions -- Point Estimation -- Statistical Intervals Based on a Single Sample -- Tests of Hypotheses Based on a Single Sample -- Inferences Based on Two Samples -- The Analysis of Variance -- Regression and Correlation -- Goodness-of-Fit Tests and Categorical Data Analysis -- Alternative Approaches to Inference -- Appendix Tables. Table of contents
Modern Mathematical Statistics with Applications, Second Edition strikes a balance between mathematical foundations and statistical practice. The text illustrates statistical concepts and methods through careful explanations and real-data applications.