A Method of Estimating the Partial Power Spectrum of a Bivariate Point Process and an Application to a Neurophysiological Data Set

• Autoři: MICHAILIDIS G.E.; SPYROGLOU Ioannis; ZARIDIS D.; RIGAS A.G.
• Rok publikování: 2020
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: JOURNAL OF STATISTICAL THEORY AND PRACTICE
• Fakulta / Pracoviště MU: Středoevropský technologický institut
• www: https://link.springer.com/article/10.1007/s42519-020-00105-8
• Doi: http://dx.doi.org/10.1007/s42519-020-00105-8
• Klíčová slova: Partial power spectrum; Simple and cross-periodogram; Smoothing procedure; Spectral analysis; Muscle spindle
• Popis: In this paper, we present a method of estimating the partial power spectrum of a bivariate point process. The method is based on the simple and cross-periodograms which are smoothed by applying a simple averaging weighting scheme in order to improve the properties of the estimate. The asymptotic distribution of the estimate is shown to be approximately normal when the amount of smoothing is large. An illustrative example is presented from the field of Neurophysiology when the complex system of the muscle spindle is affected by a static gamma motoneuron.

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