Statistical Inference/Probability Theory: Difference between revisions

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=== Theorem 1.1.4 - Event Operations ===
=== Theorem 1.1.4 - Event Operations ===


== Basics of Probability Theory ==


== Conditional Probability and Independence ==
== Random Variables ==
== Distribution Functions ==
== Density and Mass Functions ==


[[category:Statistics]]
[[category:Statistics]]
[[category:Statistical Inference]]
[[category:Statistical Inference]]

Revision as of 18:16, 25 July 2018

Statistical Inference
Probability Theory
Transformations and Expectations
Common Families of Distributions
Multiple Random Variables
Properties of a Random Sample
Principles of Data Reductions
Point Estimation
Hypothesis Testing
Interval Estimation
Asymptotic Evaluations
Analysis of Variance and Regression
Regression Models

Set Theory

Definition 1.1.1 - Sample Space

The set, S, of all possible outcomes of a particular experiment is called the sample space for the experiment.

Definition 1.1.2 - Event

An event is any collection of possible outcomes of an experiment, that is, any subset of S (including S itself).

Union

Intersection

Complementation

Theorem 1.1.4 - Event Operations

Basics of Probability Theory

Conditional Probability and Independence

Random Variables

Distribution Functions

Density and Mass Functions