New approximations to the Malthusian parameter

Ridout, Martin S., Cole, Diana J., Morgan, Byron J. T., Byrne, Lee J., Tuite, Mick F. (2006) New approximations to the Malthusian parameter. Biometrics, 62 (4). pp. 1216-1223. ISSN 0006-341X. (doi:10.1111/j.1541-0420.2006.00564.x) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:740)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1111/j.1541-0420.2006.00564.x

Abstract

Approximations to the Malthusian parameter of an age-dependent branching process are

obtained in terms of the moments of the lifetime distribution, by exploiting a link with renewal

theory. In several examples, the new approximations are more accurate than those currently in use,

even when based on only the first two moments. The new approximations are extended to include a

form of asymmetric cell division that occurs in some species of yeast. When used for inference, the

new approximations are shown to have high efficiency.

Item Type:	Article
DOI/Identification number:	10.1111/j.1541-0420.2006.00564.x
Uncontrolled keywords:	symmetric cell division; cell cycle; cell reproduction; cumulant generating function; empirical transform; exponential growth; generation time; renewal theory; shifted gamma distribution; variation in generation time; yeast cells
Subjects:	H Social Sciences > HA Statistics
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Judith Broom
Date Deposited:	19 Dec 2007 18:27 UTC
Last Modified:	05 Nov 2024 09:30 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/740 (The current URI for this page, for reference purposes)

University of Kent Author Information

Ridout, Martin S..

Creator's ORCID:
CReDIT Contributor Roles:

Cole, Diana J..

Creator's ORCID:	https://orcid.org/0000-0002-8109-4832
CReDIT Contributor Roles:

Morgan, Byron J. T..

Creator's ORCID:
CReDIT Contributor Roles:

Byrne, Lee J..

Creator's ORCID:
CReDIT Contributor Roles:

Tuite, Mick F..

Creator's ORCID:	https://orcid.org/0000-0002-5214-540X
CReDIT Contributor Roles:

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