Description
Boost Your grades with this illustrated Study Guide. You will use it from an undergraduate school all the way to graduate school and beyond.Features Written in concise and clear English Illustrated with graphs and diagrams Use your down time to prepare for an exam. Includes Glossary of probability and statistics Table of ContentsIntroduction: History | Conceptual overview | Statistical methods | Specialized disciplines | SoftwareProbability: Event | Statistical Independence | Interpretations | Classical definition | Permutation | Combination | Random element | Random variable | Random VectorRules of Probability: Probability Axioms | Odds | Probability Theory | Bayesian ProbabilityExpectations and Decisions: Mathematical Expectation | Decision Theory | Chebyshev’s InequalityProbability Distribution: Discrete Probability Distribution | Bernoulli Distribution | Binomial Distribution | Hypergeometric Distribution | Poisson Distribution | Multinomial Distribution | Standard Deviation | Chi-square Distribution | Student’s t-DistributionNormal Distribution: Continuous Probability Distribution | Normal Distribution | Infinite DivisibilitySampling: Simple Random Sample | Sampling Distribution | Central Limit TheoremTests of Hypotheses: Null Hypothesis | Statistical Hypothesis Testing | Pearson’s Chi-square test | Student’s t-test | Z-test | General Linear Model | ANOVA | Generating Function | Non-parametric StatisticsRegression: Regression Analysis | Linear Model | Linear Regression | Nonlinear Regression | Kernel Regression | Robust RegressionCorrelation: Pearson’s product-moment coefficient | Non-parametric correlation coefficients | Other measures of dependence among random variables | Copulas and correlation | Correlation matricesApplications: Borel algebra | Cumulative Distribution Function | Probability Mass Function
