Statistical Inference/Probability Theory: Difference between revisions
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== Definition 1.1.1 - Sample Space == | == 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. | The set, ''S'', of all possible outcomes of a particular experiment is called the ''sample space'' for the experiment. | ||
== Definition 1.1.2 - Event == | === 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). | An ''event'' is any collection of possible outcomes of an experiment, that is, any subset of ''S'' (including ''S'' itself). | ||
=== Union === | ==== Union ==== | ||
=== Intersection === | ==== Intersection ==== | ||
=== Complementation === | ==== Complementation ==== | ||
== Theorem 1.1.4 - Event Operations == | === Theorem 1.1.4 - Event Operations === | ||
Revision as of 13:37, 25 July 2018
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).