Some probability distributions in modeling DNA replication
Lachal, Aimé
Ann. Appl. Probab., Tome 13 (2003) no. 1, p. 1207-1230 / Harvested from Project Euclid
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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.
Publié le : 2003-08-14
Classification:  Renewal equation,  functional differential equation,  Laplace transform,  infinite product,  60K05,  92B05,  92C45 
@article{1060202839,
     author = {Lachal, Aim\'e},
     title = {Some probability distributions in modeling DNA replication},
     journal = {Ann. Appl. Probab.},
     volume = {13},
     number = {1},
     year = {2003},
     pages = { 1207-1230},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1060202839}
}

Lachal, Aimé. Some probability distributions in modeling DNA replication. Ann. Appl. Probab., Tome 13 (2003) no. 1, pp.  1207-1230. http://gdmltest.u-ga.fr/item/1060202839/