Paper
28 October 1994 General class of chi-square statistics for goodness-of-fit tests for stationary time series
Karim Choukri, Eric Moulines
Author Affiliations +
Abstract
In this contribution, a class of time-domain goodness-of-fit procedures for stationary time- series, is presented. These test procedures are based on minimum chi-square statistics in the deviations of certain sample statistics (obtained from finite-memory non-linear transformations of the process) from their ensemble counterparts. Two specific versions are derived, depending on the parameterization of the model manifold. Exact asymptotic distribution of these tests under the null hypothesis HO and local alternatives are derived. Two applications of this general procedure is finally presented, aiming at assessing that (1) a stationary scalar time-series is autoregressive and (2) that a multivariate stationary time-series is a noisy instantaneous mixture of independent scalar time-series.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Karim Choukri and Eric Moulines "General class of chi-square statistics for goodness-of-fit tests for stationary time series", Proc. SPIE 2296, Advanced Signal Processing: Algorithms, Architectures, and Implementations V, (28 October 1994); https://doi.org/10.1117/12.190833
Lens.org Logo
CITATIONS
Cited by 1 scholarly publication.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Autoregressive models

Statistical modeling

Statistical analysis

Array processing

Interference (communication)

System identification

Mathematical modeling

Back to Top