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KOLMOGOROV-SMIRNOV TESTS OF FIT BASED ON SOME GENERAL BOUNDS.
- Source :
-
Journal of the American Statistical Association . Sep68, Vol. 63 Issue 323, p919-924. 6p. - Publication Year :
- 1968
-
Abstract
- This note gives a systematic method of computing the probability P[sub n](beta) of the event [Multiple line equation(s) cannot be represented in ASCII], where F[sub n] and F are the empirical and theoretical cumulative distribution functions and beta is a function on the interval (0, 1). The result is used to determine not only the significance level but also the exact power for an appropriate testing situation. When beta is a linear function, P[sub n](beta) may represent the probability distribution of the one-sided Kolmogorov-Smirnov statistic D[sup +, sub n]=sup[sub -Infinity < x < Infinity] [F[sub n(x) - F(x)]. Numerical examples are given in section 2, and they show that the method is extensively useful for practical applications. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01621459
- Volume :
- 63
- Issue :
- 323
- Database :
- Academic Search Index
- Journal :
- Journal of the American Statistical Association
- Publication Type :
- Academic Journal
- Accession number :
- 4612313
- Full Text :
- https://doi.org/10.1080/01621459.1968.11009320