Statistical Inference/Probability Theory: Difference between revisions
From Wiki**3
< Statistical Inference
No edit summary |
|||
Line 2: | Line 2: | ||
{{TOCright}} | {{TOCright}} | ||
= 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. | 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). | An ''event'' is any collection of possible outcomes of an experiment, that is, any subset of ''S'' (including ''S'' itself). | ||
=== Union === | |||
=== Intersection === | |||
=== Complementation === | |||
== Event Operations [Theorem 1.1.4] == | |||
= 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 10:26, 1 August 2018
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).