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Difference between revisions of "Testing"

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One of the basic terms in classical statistics and [[Probability theory|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 <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/t/t092/t092460/t0924601.png" />-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" .
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One of the basic terms in classical statistics and [[Probability theory|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" .
  
  
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====Comments====
 
====Comments====
 
This terminology for such a simple concept is hardly ever used in the West.
 
This terminology for such a simple concept is hardly ever used in the West.
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[[Category:Probability and statistics]]

Latest revision as of 07:34, 2 November 2014

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=15720
This article was adapted from an original article by Yu.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article