Probability and Statistical Inference

摘要: 1. Empirical and Probability Distributions. Basic Concepts. The Mean, Variance, Standard Deviation. Continuous-Type Data. Exploratory Data Analysis. Graphical Comparisons of Sets. Time Sequences. Density Mass Functions. 2. Probability. Properties Methods Enumeration. Conditional Independent Events. Bayes' Theorem. 3. Discrete Random Variables the Type. Mathematical Expectation. Bernoulli Trials Binomial Distribution. Moment-Generating Function. Poisson 4. Continuous Uniform Exponential Gamma Chi-Square Normal Distributions Functions a Variable. Mixed Censoring. 5. Multivariable Two Variables. Correlation Coefficient. Bivariate Transformations Order Statistics. 6. Sampling Distribution Theory. Sums Associated with Central Limit Approximations for t F Limiting Chebyshev's Inequality Convergence in Importance Understanding Variability. 7. Estimation. Point Confidence Intervals Means. Difference Variances. Proportions. Sample Size. Distribution-Free Percentiles. A Simple Regression Problem. More Regression. 8. Tests Statistical Hypotheses. about One Mean Variance. Equality Goodness Fit Test. Contingency Tables. Several Two-Factor Analysis Concerning Correlation. Wilcoxon Tests. Kolmogorov-Smirnov Resampling Methods. Run Test Randomness. 9. Theory Inference. Sufficient Power Best Critical Regions. Likelihood Ratio Bayesian Asymptotic Maximum Estimators. 10. Quality Improvement through Control. General Factorial 2k Designs. on Design Experiments. Epilogue.Appendix A. Review Selected Techniques. Algebra Tools Hypergeometric Limits. Infinite Series. Integration. Multivariate Calculus. Appendix B. References.Appendix C. Tables.Appendix D. Answers to Odd-Numbered Exercises.Index.