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

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Authors	MICHAILIDIS G.E. SPYROGLOU Ioannis ZARIDIS D. RIGAS A.G.
Year of publication	2020
Type	Article in Periodical
Magazine / Source	JOURNAL OF STATISTICAL THEORY AND PRACTICE
MU Faculty or unit	Central European Institute of Technology
Citation
Web	https://link.springer.com/article/10.1007/s42519-020-00105-8
Doi	http://dx.doi.org/10.1007/s42519-020-00105-8
Keywords	Partial power spectrum; Simple and cross-periodogram; Smoothing procedure; Spectral analysis; Muscle spindle
Description	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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