Branching Process Model applied to the 1/f Noise; Formalization

Takayuki Kobayashi

No 2f6r4, OSF Preprints from Center for Open Science

Abstract: In order to discuss the 1⁄f problem, the statistics of branching process of particle in a multiplicative medium are developed by taking account of random particle immigration. The probability distribution function of the number of particles founded in the medium at any fixed time and/or of particles detected in a time interval are obtained in closed form. These results are applied to the case that exactly two particles are produced by branching.

Date: 2021-01-09
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Persistent link: https://EconPapers.repec.org/RePEc:osf:osfxxx:2f6r4

DOI: 10.31219/osf.io/2f6r4

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