Laguerre population processes
| Autor: | Keith I. Hopcraft, E. Jakeman |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
education.field_of_study
Population statistics Photon statistics Stochastic process General Mathematics Mathematical analysis Population General Engineering General Physics and Astronomy Poisson distribution symbols.namesake symbols Laguerre polynomials Statistical physics education Random variable Laser light Mathematics |
| Zdroj: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 468:1741-1757 |
| ISSN: | 1471-2946 1364-5021 |
| DOI: | 10.1098/rspa.2011.0557 |
| Popis: | We analyse a number of stochastic processes that give rise to first-order number statistics governed by Laguerre distributions with properties that lie between Poisson and geometric random variables. These distributions have hitherto been used to characterize the photon statistics of a coherent mixture of thermal and laser light. Here, we explore a number of discrete population processes that can lead to the same first-order statistics and correlation functions and highlight the distinguishing features that may be used to identify the relevant model from data. |
| Databáze: | OpenAIRE |
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