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An excursion approach to maxima of the Brownian bridge

Distributions of functionals of Brownian bridge arise as limiting distributions in non-parametric statistics. In this paper we will give a derivation of distributions of extrema of the Brownian bridge based on excursion theory for Brownian motion. The idea of rescaling and conditioning on the local...

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Bibliografski detalji
Izdano u:Stoch Process Their Appl
Glavni autori: Perman, Mihael, Wellner, Jon A.
Format: Artigo
Jezik:Inglês
Izdano: 2014
Teme:
Online pristup:https://ncbi.nlm.nih.gov/pmc/articles/PMC4847753/
https://ncbi.nlm.nih.gov/pubmed/27134338
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1016/j.spa.2014.04.008
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