Journal
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS
Volume 57, Issue -, Pages 379-397Publisher
WILEY
DOI: 10.1111/j.1467-9876.2008.00625.x
Keywords
Malthusian parameter; mitotic cycle duration; numerical Laplace transform inversion; Saccharomyces cerevisiae; transition probability model; Tweedie distribution
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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.
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