Arbeitspapier

A Bootstrap Test for the Comparison of Nonlinear Time Series - with Application to Interest Rate Modelling

We study the drift of stationary diffusion processes in a time series analysis of the autoregression function. A marked empirical process measures the difference between the nonparametric regression functions of two time series. We bootstrap the distribution of a Kolmogorov-Smirnov-type test statistic for two hypotheses: Equality of regression functions and shifted regression functions. Neither markovian behavior nor Brownian motion error of the processes are assumed. A detailed simulation study finds the size of the new test near the nominal level and a good power for a variety of parametric models. The two-sample result serves to test for mean reversion of the diffusion drift in several examples. The interest rates Euribor, Libor as well as T-Bond yields do not show that stylized feature often modelled for interest rates.

Language
Englisch

Bibliographic citation
Series: Technical Report ; No. 2006,30

Event
Geistige Schöpfung
(who)
Dette, Holger
Weißbach, Rafael
Event
Veröffentlichung
(who)
Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
(where)
Dortmund
(when)
2006

Handle
Last update
10.03.2025, 11:41 AM CET

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Object type

  • Arbeitspapier

Associated

  • Dette, Holger
  • Weißbach, Rafael
  • Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen

Time of origin

  • 2006

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