**Sankhya: The Indian Journal of Statistics**

1996, Volume 58, Series B, Pt. 2, pp. 170--183

**EXACT CONDITIONAL DISTRIBUTION OF THE TWO-SAMPLE KOLMOGOROV-SMIRNOV GOODNESS-OF-FIT TEST STATISTIC UNDER A FINITE CENSORING SCHEME**

By

TOMMASO GASTALDI, *Università degli Studi di Roma "La Sapienza"*

SUMMARY. A procedure to carry out the Kolmogorov-Smirnov (K-S) test in presence of a general form of censoring, common in life tests, is discussed. The conditional null distribution of the two-sided two-sample K-S statistic, given the observed data and a censoring scheme, is derived. A technique for economizing the sample size for the K-S test is discussed through a simulation study. Examples are included.

*AMS (1980) subject classification.* 62G30

*Key words and phrases.* Censoring, order statistics, test of identity, lifelength, life-test, reliability.