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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" .


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

How to Cite This Entry:
Testing. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by Yu.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article