The analysis of indexed astronomical time series – X. Significance testing of O − C data

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Date

2006

Journal Title

Journal ISSN

Volume Title

Publisher

Oxford University Press

Abstract

It is assumed that O − C (‘observed minus calculated’) values of periodic variable stars are determined by three processes, namely measurement errors, random cycle-to-cycle jitter in the period, and possibly long-term changes in the mean period. By modelling the latter as a random walk, the covariances of all O − C values can be calculated. The covariances can then be used to estimate unknown model parameters, and to choose between alternative models. Pseudo-residuals which could be used in model fit assessment are also defined. The theory is illustrated by four applications to spotted stars in eclipsing binaries.

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Keywords

Methods: data analysis, Methods: statistical, Stars: variables: other

Citation

Koen, C. (2006). The analysis of indexed astronomical time series – X. Significance testing of O − C data. Monthly Notices of the Royal Astronomical Society, 365(2): 489-495