Some Exact Results for One-Sided Distribution Tests of the Kolmogorov-Smirnov Type
Whittle, P.
Ann. Math. Statist., Tome 32 (1961) no. 4, p. 499-505 / Harvested from Project Euclid
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I consider the calculation of the probability $P_n$ that the graph of a sample distribution function lie wholly to one side of a given arbitrary contour. A generating function approach is described in Section 2, and $P_n$ calculated exactly for some simple types of contour. Upper and lower bounds of the correct asymptotic form (relations (14), (15)) are obtained for $P_n$ in the case of a straight line contour.
Publié le : 1961-06-14
Classification:  
@article{1177705056,
     author = {Whittle, P.},
     title = {Some Exact Results for One-Sided Distribution Tests of the Kolmogorov-Smirnov Type},
     journal = {Ann. Math. Statist.},
     volume = {32},
     number = {4},
     year = {1961},
     pages = { 499-505},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177705056}
}

Whittle, P. Some Exact Results for One-Sided Distribution Tests of the Kolmogorov-Smirnov Type. Ann. Math. Statist., Tome 32 (1961) no. 4, pp.  499-505. http://gdmltest.u-ga.fr/item/1177705056/