Boost Your grades with this illustrated quick-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 | Software

Probability: Event | Statistical Independence | Interpretations | Classical definition | Permutation | Combination | Random element | Random variable | Random Vector

Rules of Probability: Probability Axioms | Odds | Probability Theory | Bayesian Probability

Expectations and Decisions: Mathematical Expectation | Decision Theory | Chebyshev's Inequality

Probability Distribution: Discrete Probability Distribution | Bernoulli Distribution | Binomial Distribution | Hypergeometric Distribution | Poisson Distribution | Multinomial Distribution | Standard Deviation | Chi-square Distribution | Student's t-Distribution

Normal Distribution: Continuous Probability Distribution | Normal Distribution | Infinite Divisibility

Sampling: Simple Random Sample | Sampling Distribution | Central Limit Theorem

Tests 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 Statistics

Regression: Regression Analysis | Linear Model | Linear Regression | Nonlinear Regression | Kernel Regression | Robust Regression

Correlation: Pearson's product-moment coefficient | Non-parametric correlation coefficients | Other measures of dependence among random variables | Copulas and correlation | Correlation matrices

Applications: Borel algebra | Cumulative Distribution Function | Probability Mass Function

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 | Software

Probability: Event | Statistical Independence | Interpretations | Classical definition | Permutation | Combination | Random element | Random variable | Random Vector

Rules of Probability: Probability Axioms | Odds | Probability Theory | Bayesian Probability

Expectations and Decisions: Mathematical Expectation | Decision Theory | Chebyshev's Inequality

Probability Distribution: Discrete Probability Distribution | Bernoulli Distribution | Binomial Distribution | Hypergeometric Distribution | Poisson Distribution | Multinomial Distribution | Standard Deviation | Chi-square Distribution | Student's t-Distribution

Normal Distribution: Continuous Probability Distribution | Normal Distribution | Infinite Divisibility

Sampling: Simple Random Sample | Sampling Distribution | Central Limit Theorem

Tests 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 Statistics

Regression: Regression Analysis | Linear Model | Linear Regression | Nonlinear Regression | Kernel Regression | Robust Regression

Correlation: Pearson's product-moment coefficient | Non-parametric correlation coefficients | Other measures of dependence among random variables | Copulas and correlation | Correlation matrices

Applications: Borel algebra | Cumulative Distribution Function | Probability Mass Function