Goodness-of-fit test
From Encyclopedia of Mathematics
A statistical test for goodness of fit. The essence of such a test is the following. Let 
be independent identically-distributed random variables whose distribution function 
is unknown. Then the problem of statistically testing the hypothesis 
that 
for some given distribution function 
is called a problem of testing goodness of fit. For example, if 
is a continuous distribution function, then as a goodness-of-fit test for testing 
one can use the Kolmogorov test.
See also Non-parametric methods in statistics.
How to Cite This Entry:
Goodness-of-fit test. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Goodness-of-fit_test&oldid=31804
Goodness-of-fit test. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Goodness-of-fit_test&oldid=31804
This article was adapted from an original article by M.S. Nikulin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article