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Synopsis

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 CONTENTS:Introduction: 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

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