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Difference between revisions of "Simple hypothesis"

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''in mathematical statistics''
 
''in mathematical statistics''
  
A statement according to which an observed random variable is subject to a given probability distribution. The probability distribution determined by the simple hypothesis is called the hypothesis distribution. E.g., if one observes a random variable <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s085/s085240/s0852401.png" />, then the statement  "X is subject to the Poisson law with parameter 1"  is a simple hypothesis. See also [[Composite hypothesis|Composite hypothesis]].
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A statement according to which an observed random variable is subject to a given probability distribution. The probability distribution determined by the simple hypothesis is called the hypothesis distribution. E.g., if one observes a random variable $X$, then the statement  "X is subject to the Poisson law with parameter 1"  is a simple hypothesis. See also [[Composite hypothesis|Composite hypothesis]].
  
  

Latest revision as of 09:30, 27 April 2014

in mathematical statistics

A statement according to which an observed random variable is subject to a given probability distribution. The probability distribution determined by the simple hypothesis is called the hypothesis distribution. E.g., if one observes a random variable $X$, then the statement "X is subject to the Poisson law with parameter 1" is a simple hypothesis. See also Composite hypothesis.


Comments

References

[a1] A.M. Mood, F.A. Graybill, "Introduction to the theory of statistics" , McGraw-Hill (1963) pp. §12.2
How to Cite This Entry:
Simple hypothesis. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Simple_hypothesis&oldid=13487
This article was adapted from an original article by M.S. Nikulin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article