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Invariance of Wiener processes and of Brownian bridges by integral transforms and applications

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Publication:1167475
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DOI10.1016/0304-4149(82)90017-5zbMath0491.60037OpenAlexW2052992128MaRDI QIDQ1167475

Paul Deheuvels

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0304-4149(82)90017-5


zbMATH Keywords

Brownian bridge


Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Gaussian processes (60G15) Brownian motion (60J65) Functional limit theorems; invariance principles (60F17)


Related Items

On the available local asymptotic efficiency of some goodness-of-fit criteria ⋮ Sums of weighted spacings and a test for the logistic distribution ⋮ Further results on some singular linear stochastic differential equations



Cites Work

  • On Tests of Normality and Other Tests of Goodness of Fit Based on Distance Methods
  • Nonparametric Statistical Data Modeling
  • Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
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