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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 sampling space (a sample point). The sampling space is an abstract set, with a probability measure defined on the <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s083/s083220/s0832201.png" />-algebra of its subsets (cf. [[Probability space|Probability space]]). The term  "space of elementary eventsspace of elementary events"  is frequently used in the Russian literature.
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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 a $\sigma$-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,   "An introduction to probability theory and its applications" , '''1''' , Wiley (1957) pp. Chapt. 1</TD></TR></table>
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<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>
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Latest revision as of 19:33, 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 a $\sigma$-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=17077
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
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