تقرير
Singular Spectrum Analysis for astronomical time series: constructing a parsimonious hypothesis test
| العنوان: | Singular Spectrum Analysis for astronomical time series: constructing a parsimonious hypothesis test |
|---|---|
| المؤلفون: | Greco, G., Kondrashov, D., Kobayashi, S., Ghil, M., Branchesi, M., Guidorzi, C., Stratta, G., Ciszak, M., Marino, F., Ortolan, A. |
| سنة النشر: | 2015 |
| المجموعة: | Astrophysics |
| مصطلحات موضوعية: | Astrophysics - Instrumentation and Methods for Astrophysics |
| الوصف: | We present a data-adaptive spectral method - Monte Carlo Singular Spectrum Analysis (MC-SSA) - and its modification to tackle astrophysical problems. Through numerical simulations we show the ability of the MC-SSA in dealing with $1/f^{\beta}$ power-law noise affected by photon counting statistics. Such noise process is simulated by a first-order autoregressive, AR(1) process corrupted by intrinsic Poisson noise. In doing so, we statistically estimate a basic stochastic variation of the source and the corresponding fluctuations due to the quantum nature of light. In addition, MC-SSA test retains its effectiveness even when a significant percentage of the signal falls below a certain level of detection, e.g., caused by the instrument sensitivity. The parsimonious approach presented here may be broadly applied, from the search for extrasolar planets to the extraction of low-intensity coherent phenomena probably hidden in high energy transients. Comment: Refereed Proceeding of the "The Universe of Digital Sky Surveys" conference held at the INAF - Observatory of Capodimonte, Naples, on 25th-28th november 2014, to be published on Astrophysics and Space Science Proceedings, edited by Longo, Napolitano, Marconi, Paolillo, Iodice |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/978-3-319-19330-4_16 |
| URL الوصول: | http://arxiv.org/abs/1509.03342 |
| رقم الأكسشن: | edsarx.1509.03342 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/978-3-319-19330-4_16 |
|---|