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