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Brownian crossings via regeneration times

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Publication:369389
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DOI10.1007/s13171-013-0027-yzbMath1274.60074OpenAlexW2030652285MaRDI QIDQ369389

B. Rajeev, Krishna B. Athreya

Publication date: 24 September 2013

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-013-0027-y


zbMATH Keywords

excursionsTauberian theoremslimit theoremsrenewal equationregenerative processesconditional limit theoremsregeneration timesBrownian crossingslast entrance timessemi-martingales


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Markov renewal processes, semi-Markov processes (60K15)


Related Items (2)

Weak convergence of the past and future of Brownian motion given the present ⋮ Stochastic model for barrier crossings and fluctuations in local timescale



Cites Work

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  • Probability theory.
  • On Occupation Times for Markoff Processes
  • Infinite-dimensional elliptic equations and operators of Lévy type
  • Ergodic Property of the Brownian Motion Process




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