# Testing

From Encyclopedia of Mathematics

One of the basic terms in classical statistics and probability theory. In the axiomatic approach it is defined as any decomposition of the space of elementary events into pairwise-disjoint events, which are called "initial tests" , while the elements of the $\sigma$-field generated by them are called "events related to the given test" . The term "testing" is basically used in combinations as "repeated testing" , "independent testing" , "testing in a Markov chain" .

#### Comments

This terminology for such a simple concept is hardly ever used in the West.

**How to Cite This Entry:**

Testing.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Testing&oldid=34197

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