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Karhunen-Loève expansion for the second order detrended Brownian motion

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Publication:1724153
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DOI10.1155/2014/457051zbMath1469.60257OpenAlexW2128148967WikidataQ59038357 ScholiaQ59038357MaRDI QIDQ1724153

Yongchun Zhou, Boping Tian, Minghao Lv, Xiaohui Ai

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/457051


zbMATH Keywords

detrended Brownian motion


Mathematics Subject Classification ID

Brownian motion (60J65) General theory of stochastic processes (60G07)




Cites Work

  • Unnamed Item
  • Karhunen-Loève expansions for the detrended Brownian motion
  • Karhunen-Loève expansions of \(\alpha\)-Wiener bridges
  • Comparison results for the lower tail of Gaussian seminorms
  • Limit theorems for the square integral of Brownian motion and its increments
  • Properties of sequences of partial sums of polynomial regression residuals with applications to tests for change of regression at unknown times
  • On quadratic functionals of the Brownian sheet and related processes
  • A Karhunen-Loève expansion for a mean-centered Brownian bridge
  • Karhunen-Loève expansions of mean-centered Wiener processes
  • A Generalization of Smirnov’s Formula for the Distribution Functions of Quadratic Forms
  • Table for Estimating the Goodness of Fit of Empirical Distributions
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