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Paper: Methodology of Time Delay Change Determination for Uneven Data Sets
Volume: 145, Astronomical Data Analysis Software and Systems VII
Page: 488
Authors: Oknyanskij, V. L.
Abstract: At the previous ADASS Conference (Oknyanskij, 1997a) we considered and used a new algorithm for time-delay investigations in the case when the time delay was a linear function of time and the echo response intensity was a power-law function of the time delay. We applied this method to investigate optical-to-radio delay in the double quasar 0957+561 (generally accepted to be a case of gravitational lensing). It was found in this way that the radio variations (5 MHz) followed the optical ones, but that the time delay was a linear function of time with the mean value being about 2370 days and with the rate of increase ${\bf V} \approx 110$ days/year. Here we use Monte-Carlo simulations to estimate the significance of the results. We estimate (with the 95\% confidence level) that the probability of getting the same result by chance (if the real {\bf V} value was equal to 0 days/year) is less then 5\%. We also show that the method can also determine the actual rate of increase ${\bf V_a}$ of the time delay in artificial light curves, which have the same data spacing, power spectrum and noise level as real ones. We briefly consider some other possible fields for using the method.
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