Nonparametric Inference for a Family of Counting Processes

Let B = (N1, ⋯, Nk) be a multivariate counting process and let Ftbe the collection of all events observed on the time interval [ 0, t]. The intensity process is given by $\Lambda_i(t) = \lim_{h \downarrow 0} \frac{1}{h}E(N_i(t + h) - N_i(t) \mid \mathscr{F}_t)\quad i = 1, \cdots, k.$ We give an appl...

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Bibliographische Detailangaben
Veröffentlicht in:The Annals of Statistics. - Institute of Mathematical Statistics. - 6(1978), 4, Seite 701-726
1. Verfasser: Aalen, Odd (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1978
Zugriff auf das übergeordnete Werk:The Annals of Statistics
Schlagworte:Point process counting process intensity process inference for stochastic processes nonparametric theory empirical process survival analysis martingales stochastic integrals Mathematics mehr... Social sciences Behavioral sciences