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Characterization of the least concave majorant of Brownian motion, conditional on a vertex point, with application to construction

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Publication:1881412
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DOI10.1007/BF02517802zbMath1057.60077OpenAlexW1977881779MaRDI QIDQ1881412

Chris Carolan, Richard L. Dykstra

Publication date: 5 October 2004

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02517802


zbMATH Keywords

Brownian motionleast concave majorant


Mathematics Subject Classification ID

Brownian motion (60J65)


Related Items (3)

A Wiener-Hopf based approach to numerical computations in fluctuation theory for Lévy processes ⋮ A Kolmogorov-type test for monotonicity of regression. ⋮ The greatest convex minorant of Brownian motion, meander, and bridge



Cites Work

  • The concave majorant of Brownian motion
  • Testing uniformity versus a monotone density
  • Marginal densities of the least concave majorant of Brownian motion.
  • Diffusion processes and their sample paths.
  • Isotonic regression: Another look at the changepoint problem
  • Path Decomposition and Continuity of Local Time for One-Dimensional Diffusions, I


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