Download PDFOpen PDF in browserCurrent version1/f Noise: Branching Process Model (I); FormalizationEasyChair Preprint 996, version 110 pages•Date: May 14, 2019AbstractIn order to discuss the 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 a moment and/or of particles detected in a time interval are derived in close forms. Also derived are conditional probabilities, conditioned on having a given number of particles at time t=0. These are applied to the case that exactly two particles are produced by branching. Keyphrases: 1/f noise, brancching process, formalization, probability
|