Statistics Study Guide : Permutation, Random variable, Probability Axioms, Bayesian Probability, Decision Theory, Chebyshev's Inequality, Chi-square & Student's t-Distribution, Sampling, Correlation

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 | 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