We calculate the probability pc that the maximum of a reflected Brownian motion U is achieved on a complete excursion, i.e. pc := P ( U(t) = Uâˆ—(t) ) where U(t) (respectively Uâˆ—(t)) is the maximum ofâ€¦ (More)

Using random walk theory, we first establish explicitly the exact distribution of the maximal partial sum of a sequence of independent and identically distributed random variables. This result allowsâ€¦ (More)

We calculate the density function of ( Uâˆ—(t), Î¸âˆ—(t) ) , where Uâˆ—(t) is the maximum over [0, g(t)] of a reflected Brownian motion U , where g(t) stands for the last zero of U before t, Î¸âˆ—(t) =â€¦ (More)

Detecting genomic footprints of selection is an important step in the understanding of evolution. Accounting for linkage disequilibrium in genome scans increases detection power, but haplotype-basedâ€¦ (More)

Detecting genomic footprints of selection is an important step in the understanding of evolution. Accounting for linkage disequilibrium in genome scans allows increasing the detection power, butâ€¦ (More)

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching andâ€¦ (More)

We propose a new method to approximate the significativity of gapped local sequence alignments. We focus on short sequences for which standard methods are known to be less accurate since they haveâ€¦ (More)