Palmer, K.J. and Ridout, M.S. and Morgan, B.J.T. (2008) Modelling cell generation times by using the tempered stable distribution. Journal of the Royal Statistical Society: Series C (Applied Statistics), 57 (4). pp. 379-397. ISSN 0035-9254.
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We show that the family of tempered stable distributions has considerable potential for modelling cell generation time data. Several real examples illustrate how these distributions can improve on currently assumed models, including the gamma and inverse Gaussian distributions which arise as special cases. Our applications concentrate on the generation times of oligodendrocyte progenitor cells and the yeast Saccharomyces cerevisiae. Numerical inversion of the Laplace transform of the probability density function provides fast and accurate approximations to the tempered stable density, for which no closed form generally exists. We also show how the asymptotic population growth rate is easily calculated under a tempered stable model.
|Uncontrolled keywords:||Malthusian parameter • Mitotic cycle duration • Numerical Laplace transform inversion • Saccharomyces cerevisiae • Transition probability model • Tweedie distribution|
|Subjects:||Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Q Science > QR Microbiology
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Byron Morgan|
|Date Deposited:||17 Apr 2009 08:53|
|Last Modified:||24 Aug 2009 10:59|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/12913 (The current URI for this page, for reference purposes)|
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