Picture of virus under microscope

Research under the microscope...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

Explore SIPBS research

The evolution of a batch-immigration death process subject to counts

Gillespie, C. and Renshaw, E. (2005) The evolution of a batch-immigration death process subject to counts. Proceedings A: Mathematical, Physical and Engineering Sciences, 461 (2057). pp. 1563-1581. ISSN 1364-5021

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

A bivariate batch immigration-death process is developed to study the degree to which the fundamental structure of a hidden stochastic process can be inferred purely from counts of escaping individuals. This question is of immense importance in fields such as quantum optics, where externally based radiation elucidates the nature of the underlying electromagnetic radiation process. Batches of i immigrants enter the population at rate αqi, and each individual dies independently at rate μ. General expressions are developed for the population size cumulants and probabilities, together with those for the associated counting process. The strong link between these two structures is highlighted through two specific examples, involving k-batch immigration for i=k, and Schoenberg-batch immigration over i=2m (m =0, 1, 2, ...), and shows that high quality inferences on the hidden population process can be inferred purely from externally counted observations.