Statistical Inference/Probability Theory: Difference between revisions

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Definition 1.1.1 - The set, ''S'', of all possible outcomes of a particular experiment is called the ''sample space'' for the experiment.
== 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 ==
 


Definition 1.1.2 - An ''event'' is any collection of possible outcomes of an experiment, that is, any subset of ''S'' (including ''S'' itself).


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

Revision as of 14:05, 23 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

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