2008/04/21 by Theodore Alexandrov, Alexandrov, Theodore
Engineering · Mathematics · #Inertial Sensor and Navigation #Statistical and numerical algorithms #stat.ME
paper · pdf · doi:10.48550/arxiv.0804.3367
9 pages, 3 figures, accepted to COMPSTAT'08, updated version is published in RevStat, 7(1):1-22, 2009
arxiv created 2009/06/05 · arxiv updated 2009/12/01
The paper presents a new method of trend extraction in the framework of the Singular Spectrum Analysis (SSA) approach. This method is easy to use, does not need specification of models of time series and trend, allows to extract trend in the presence of noise and oscillations and has only two parameters (besides basic SSA parameter called window length). One parameter manages scale of the extracted trend and another is a method specific threshold value. We propose procedures for the choice of the parameters. The presented method is evaluated on a simulated time series with a polynomial trend and an oscillating component with unknown period and on the seasonally adjusted monthly data of unemployment level in Alaska for the period 1976/01-2006/09.