# Bounded probability properties of Kolmogorov-Smirnov and similar statistics for discrete data

@article{Walsh1963BoundedPP, title={Bounded probability properties of Kolmogorov-Smirnov and similar statistics for discrete data}, author={John E. Walsh}, journal={Annals of the Institute of Statistical Mathematics}, year={1963}, volume={15}, pages={153-158} }

SummaryA somewhat general class of situations, that include Kolmogorov-Smirnov type results as special cases, is considered. These situations, which are described in the following sections, are required to have uniquely determined probability properties when the sample values used are from continuous populations of any nature. If the populations sampled are discrete, however, these probability values are not uniquely determined. This paper shows that the values for the continuous case represent…

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