Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/81302
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kreer, M. | - |
dc.contributor.author | Kizilersu, A. | - |
dc.contributor.author | Thomas, A. | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Statistics and Probability Letters, 2013; 84(1):27-32 | - |
dc.identifier.issn | 0167-7152 | - |
dc.identifier.issn | 1879-2103 | - |
dc.identifier.uri | http://hdl.handle.net/2440/81302 | - |
dc.description.abstract | Fractional Poisson processes, a rapidly growing area of non-Markovian stochastic processes, are useful in statistics to describe data from counting processes when waiting times are not exponentially distributed. We show that the fractional Kolmogorov–Feller equations for the probabilities at time t can be represented by an infinite linear system of ordinary differential equations of first order in a transformed time variable. These new equations resemble a linear version of the discrete coagulation–fragmentation equations, well-known from the non-equilibrium theory of gelation, cluster-dynamics and phase transitions in physics and chemistry. | - |
dc.description.statementofresponsibility | Markus Kreer, Ayşe Kızılersü, Anthony W. Thomas | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Science BV | - |
dc.rights | Copyright © 2013 Elsevier B.V. All rights reserved. | - |
dc.source.uri | http://dx.doi.org/10.1016/j.spl.2013.09.028 | - |
dc.subject | Fractional Poisson process | - |
dc.subject | Kolmogorov–Feller equations | - |
dc.subject | Riordan arrays | - |
dc.subject | Infinite matrices | - |
dc.subject | Coagulation–fragmentation equations | - |
dc.title | Fractional Poisson processes and their representation by infinite systems of ordinary differential equations | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1016/j.spl.2013.09.028 | - |
dc.relation.grant | http://purl.org/au-research/grants/arc/FL0992247 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Kizilersu, A. [0000-0003-2096-8900] | - |
dc.identifier.orcid | Thomas, A. [0000-0003-0026-499X] | - |
Appears in Collections: | Aurora harvest 4 Physics publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.