Invariance principle for the coverage rate of genomic physical mappings

Details Invariance principle for the coverage rate of genomic physical mappings Invariance principle for the coverage rate of genomic physical mappings

2005-10-03

arxiv.org/abs/math/0510036v1

Mathematics

Probability

24 pages

Scientific paper

We study some stochastic models of physical mapping of genomic sequences. Our starting point is a global construction of the process of the clones and of the process of the anchors which are used to map the sequence. This yields explicit formulas for the moments of the proportion occupied by the anchored clones, even in inhomogeneous models. This also allows to compare, in this respect, inhomogeneous models to homogeneous ones. Finally, for homogeneous models, we provide nonasymptotic bounds of the variance and we prove functional invariance results.

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