# Sample space

From Encyclopedia of Mathematics

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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.

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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:**

Sampling space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Sampling_space&oldid=20906