The Distribution of the Kolmogorov–Smirnov,Cramer–von Mises,and Anderson–Darling Test Statistics for Exponential Populations with Estimated Parameters |
| |
| Authors: | Diane L Evans John H Drew |
| |
| Institution: | 1. Department of Mathematics , Rose–Hulman Institute of Technology , Terre Haute, Indiana, USA;2. Department of Mathematics , The College of William &3. Mary , Williamsburg, Virginia, USA |
| |
| Abstract: | This article presents a derivation of the distribution of the Kolmogorov–Smirnov, Cramer–von Mises, and Anderson–Darling test statistics in the case of exponential sampling when the parameters are unknown and estimated from sample data for small sample sizes via maximum likelihood. |
| |
| Keywords: | Distribution functions Goodness-of-fit tests Maximum likelihood estimation Order statistics Transformation technique |
|
|
