A counterexample to a conjecture concerning the Hall-Wellner band
Chen, Kani ; Ying, Zhiliang
Ann. Statist., Tome 24 (1996) no. 6, p. 641-646 / Harvested from Project Euclid
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Hall and Wellner proposed a natural extension of the Kolmogorov-Smirnov simultaneous confidence band for survival curve using the Kaplan-Meier estimator. They and Gill conjectured that the confidence band holds for all t up to the last observed failure time. A counterexample is given herein, showing that this may not always be true.
Publié le : 1996-04-14
Classification:  Censored survival data,  Kolmogorov-Smirnov statistic,  Brownian bridge,  Doob's transformation,  confidence band,  tightness,  weak convergence,  62E20,  62G30 
@article{1032894456,
     author = {Chen, Kani and Ying, Zhiliang},
     title = {A counterexample to a conjecture concerning the Hall-Wellner band},
     journal = {Ann. Statist.},
     volume = {24},
     number = {6},
     year = {1996},
     pages = { 641-646},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1032894456}
}

Chen, Kani; Ying, Zhiliang. A counterexample to a conjecture concerning the Hall-Wellner band. Ann. Statist., Tome 24 (1996) no. 6, pp.  641-646. http://gdmltest.u-ga.fr/item/1032894456/