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Significance levels of common frequencies extracted from multiple data sets
(Oxford University Press, 2020)
Large monitoring campaigns, particularly those using multiple filters, have produced replicated time series of observations for literally millions of stars. The search for periodicities in such replicated data can be ...
The analysis of indexed astronomical time series – X. Significance testing of O − C data
(Oxford University Press, 2006)
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 ...
The analysis of irregularly observed stochastic astronomical time-series – I. Basics of linear stochastic differential equations
(Oxford University Press, 2005)
The theory of low-order linear stochastic differential equations is reviewed. Solutions to these
equations give the continuous time analogues of discrete time autoregressive time-series. Explicit
forms for the power ...