On the Number of Crossings of Empirical Distribution Functions

Let F and G be two continuous distribution functions that cross at a finite number of points $-\infty \leq t_1 < \cdots < t_k \leq \infty$ . We study the limiting behavior of the number of times the empirical distribution function Gncrosses F and the number of times Gncrosses Fn. It is shown t...

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Bibliographische Detailangaben
Veröffentlicht in:The Annals of Probability. - Institute of Mathematical Statistics. - 14(1986), 3, Seite 877-890
1. Verfasser: Nair, Vijayan N. (VerfasserIn)
Weitere Verfasser: Shepp, Lawrence A., Klass, Michael J.
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1986
Zugriff auf das übergeordnete Werk:The Annals of Probability
Schlagworte:Asymptotic distribution boundary crossing probability geometric distribution Poisson process renewal theory stochastic dominance algorithm Wiener-Hopf technique Mathematics Philosophy Economics