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- Publications
- Influence

Accounting for linkage disequilibrium in genome scans for selection without individual genotypes: The local score approach

- M. I. Fariello, S. Boitard, +12 authors M. Sancristobal
- Biology, Medicine
- Molecular ecology
- 1 July 2017

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‐based… Expand

Exact Distribution for the Local Score of One i.i.d. Random Sequence

- Sabine Mercier, J. Daudin
- Medicine, Mathematics
- J. Comput. Biol.
- 2002

Let X(1)...X(n) be a sequence of i.i.d. positive or negative integer-valued random variables and H(n) = max(0 < or = i < or = j < or = n)(X(i) +...+ X(j)) be the local score of the sequence. The… Expand

Probability that the maximum of the reflected Brownian motion over a finite interval $[0,t]$ is achieved by its last zero before $t$.

- A. Lagnoux, Sabine Mercier, P. Vallois
- Mathematics
- 13 May 2015

Probability that the maximum of the reflected Brownian motion over a finite interval [0, t] is achieved by its last zero before t Abstract We calculate the probability pc that the maximum of a… Expand

Exact and Asymptotic Distribution of the Local Score of One i.i.d. Random Sequence

- Sabine Mercier, D. Cellier, F. Charlot, J. Daudin
- Computer Science, Mathematics
- JOBIM
- 3 May 2000

We propose two new and complementary methods to assess the statistical signiFIcance of high scoring segments, within both long and short sequences. The numerical results show that these methods… Expand

Distribution exacte du score local, cas markovien

- Sabine Mercier, Claudie Hassenforder
- Mathematics
- 15 May 2003

Soit X = (Xk)k≥1 une suite de variables a valeurs dans {−v, ..., 0, ...,+u}. On definit le score local d'une sequence par Hn = max1≤i≤j≤n j k=iXk . Le score local est utilise notamment dans l'analyse… Expand

Back to the Local Score in the Logarithmic Case: A Direct and Simple Proof

- Jean-Noel Bacro, J. Daudin, Sabine Mercier, S. Robin
- Mathematics
- 1 December 2002

Let X1, ... , Xn be a sequence of i.i.d. integer valued random variables and Hn the local score of the sequence. A recent result shows that Hn is actually the maximum of an integer valued Lindley… Expand

An improved approximation for assessing the statistical significance of molecular sequence features

- Sabine Mercier, D. Cellier, D. Charlot
- Mathematics
- 1 June 2003

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 allows… Expand

Exact Distribution of the Local Score for Markovian Sequences

- Claudie Hassenforder, Sabine Mercier
- Mathematics
- 19 November 2007

AbstractLet
$$\mathbb{A} = (A_i)_{1\leq i\leq n}$$ be a sequence of letters taken in a finite alphabet Θ. Let
$$s : \Theta \rightarrow \mathbb{Z}$$ be a scoring function and
$$\mathbb{X} =… Expand

H-Tuple Approach to Evaluate Statistical Significance of Biological Sequence Comparison with Gaps

- Afshin Fayyaz movaghar, Sabine Mercier, L. Ferré
- Medicine, Mathematics
- Statistical applications in genetics and…
- 2007

We propose an approximate distribution for the gapped local score of a two sequence comparison. Our method stands on combining an adapted scoring scheme that includes the gaps and an approximate… Expand

A new local score based method applied to behavior-divergent quail lines sequenced in pools precisely detects selection signatures on genes related to autism

- Maria-Ines Fariello, S. Boitard, +12 authors M. S. Cristobal
- Biology
- 23 July 2015

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, but… Expand