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Difference between revisions of "Sample space"

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(terminology, and technical error)
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<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> W. Feller,   "An introduction to probability theory and its applications" , '''1''' , Wiley (1957) pp. Chapt. 1</TD></TR></table>
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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>

Revision as of 09:36, 4 May 2012

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 -algebra of its subsets (cf. Probability space). The term "space of elementary events" is frequently used in the Russian literature.


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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=20907
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article