If "F" is continuous then under the null hypothesis formula_10 converges to the Kolmogorov distribution, which does not depend on "F". This result may also be known as the Kolmogorov theorem. The accuracy of this limit as an approximation to the exact cdf of formula_11 when formula_5 is finite is not very impressive: even when formula_13, the corresponding maximum error is about formula_14; this error increases to formula_15 when formula_16 and to a totally unacceptable formula_17 when formula_18. However, a very simple expedient of replacing formula_19 by