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Approximation of stopped Brownian local time by diadic crossing chains

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Publication:1382513
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DOI10.1016/S0304-4149(96)00119-6zbMath0889.60083MaRDI QIDQ1382513

Frank B. Knight

Publication date: 29 March 1998

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)


zbMATH Keywords

Brownian motionlocal timeBessel processesconditional mean squared errorupcrossingsapproximating random walks


Mathematics Subject Classification ID

Brownian motion (60J65) Local time and additive functionals (60J55)


Related Items

The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest, A note on the sharp \(L^p\)-convergence rate of upcrossings to the Brownian local time



Cites Work

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  • Exact rates of convergence to Brownian local time
  • [https://portal.mardi4nfdi.de/wiki/Publication:3923330 Generalised arc length for brownian motion and L�vy processes]
  • Brownian Local Times and Taboo Processes
  • Excursions of a non-singular diffusion
  • Random Walks and A Sojourn Density Process of Brownian Motion
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