Next Article in Journal / Special Issue
Symmetry in Infancy: Analysis of Motor Development in Autism Spectrum Disorders
Previous Article in Journal
Testing Group Symmetry of a Multivariate Distribution
Previous Article in Special Issue
Tetraquark Spectroscopy: A Symmetry Analysis
Symmetry 2009, 1(2), 201-214; doi:10.3390/sym1020201
Article

On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities

*  and
Received: 23 October 2009; Accepted: 24 November 2009 / Published: 26 November 2009
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
Download PDF [250 KB, uploaded 26 November 2009]
Abstract: We consider a bilateral birth-death process having sigmoidal-type rates. A thorough discussion on its transient behaviour is given, which includes studying symmetry properties of the transition probabilities, finding conditions leading to their bimodality, determining mean and variance of the process, and analyzing absorption problems in the presence of 1 or 2 boundaries. In particular, thanks to the symmetry properties we obtain the avoiding transition probabilities in the presence of a pair of absorbing boundaries, expressed as a series.
Keywords: bilateral processes; transition probabilities; first-passage-time; absorption bilateral processes; transition probabilities; first-passage-time; absorption
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Export to BibTeX |
EndNote


MDPI and ACS Style

Di Crescenzo, A.; Martinucci, B. On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities. Symmetry 2009, 1, 201-214.

AMA Style

Di Crescenzo A, Martinucci B. On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities. Symmetry. 2009; 1(2):201-214.

Chicago/Turabian Style

Di Crescenzo, Antonio; Martinucci, Barbara. 2009. "On a Symmetric, Nonlinear Birth-Death Process with Bimodal Transition Probabilities." Symmetry 1, no. 2: 201-214.


Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert