Evaluation of the significance of the data on the 160.01 min oscillations of the Sun treated by the superposed epoch analysis

Mathematics

Scientific paper

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Significance, Solar Oscillations, Superposition (Mathematics), Time Measurement, Distribution Moments, Fourier Series, Time Series Analysis

Scientific paper

Means of evaluating the statistical significance of data treated by the superposed epoch method are discussed. It is shown that data quasi-persistency affects the significance criterion more strongly than is commonly assumed. Preliminary averaging of epochs and the use of significance criterion based on Fourier amplitudes permits the quasi-persistency of data to be ignored. The results of a search for quasi-persistency in the 160m.01 period oscillations of the Sun are presented. No quasi-persistency is found. The hypothesis that the amplitude of 160m.01 oscillations is the result of random sequentially independent and normally distributed data, is rejected with a significance level of the order of 10 to the minus 17th to minus 15th power.

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