Abstract
By using some quasi-renewal-like equations and functional differential equations, we explicitly compute the Laplace transforms of some random variables introduced by Cowan and Chiu in modeling the mechanism of replication of a DNA molecule [J. Appl. Probab. (1994) 31 301--308]. These Laplace transforms are expressed by means of infinite products arising in the theory of partitions.
Citation
Aimé Lachal. "Some probability distributions in modeling DNA replication." Ann. Appl. Probab. 13 (3) 1207 - 1230, August 2003. https://doi.org/10.1214/aoap/1060202839
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