Statistical Inference/Probability Theory: Difference between revisions

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


=== Definition 1.1.2 - Event ===
=== Event [Definition 1.1.2] ===


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

Revision as of 16:40, 26 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

Sample Space [Definition 1.1.1]

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

Event [Definition 1.1.2]

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