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=31944
This article was adapted from an original article by M.S. Nikulin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article