Difference between revisions of "Sample space"
From Encyclopedia of Mathematics
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| − | The set of all [[Elementary events|elementary events]] related to some experiment, where any non-decomposable experimental result is represented by one and only one point of the sample space (a sample point). The sample space is an abstract set, with a probability measure defined on the | + | The set of all [[Elementary events|elementary events]] related to some experiment, where any non-decomposable experimental result is represented by one and only one point of the sample space (a sample point). The sample space is an abstract set, with a probability measure defined on the $\sigma$-algebra of its subsets (cf. [[Probability space]]). The term "space of elementary events" is frequently used in the Russian literature. |
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| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> W. Feller, [[Feller, "An introduction to probability theory and its applications"|"An introduction to probability theory and its applications"]], '''1''', Wiley (1957) pp. Chapt. 1</TD></TR></table> | + | <table> |
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> W. Feller, [[Feller, "An introduction to probability theory and its applications"|"An introduction to probability theory and its applications"]], '''1''', Wiley (1957) pp. Chapt. 1</TD></TR> | ||
| + | </table> | ||
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Revision as of 19:20, 22 October 2016
The set of all elementary events related to some experiment, where any non-decomposable experimental result is represented by one and only one point of the sample space (a sample point). The sample space is an abstract set, with a probability measure defined on the $\sigma$-algebra of its subsets (cf. Probability space). The term "space of elementary events" is frequently used in the Russian literature.
Comments
References
| [a1] | W. Feller, "An introduction to probability theory and its applications", 1, Wiley (1957) pp. Chapt. 1 |
How to Cite This Entry:
Sample space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sample_space&oldid=39494
Sample space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sample_space&oldid=39494
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article