Difference between revisions of "Simple hypothesis"
From Encyclopedia of Mathematics
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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 | + | 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
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