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Accounting for linkage disequilibrium in genome scans for selection without individual genotypes: The local score approach
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‐basedExpand
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Exact Distribution for the Local Score of One i.i.d. Random Sequence
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. TheExpand
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Probability that the maximum of the reflected Brownian motion over a finite interval $[0,t]$ is achieved by its last zero before $t$.
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 aExpand
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Exact and Asymptotic Distribution of the Local Score of One i.i.d. Random Sequence
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 methodsExpand
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Distribution exacte du score local, cas markovien
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'analyseExpand
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Back to the Local Score in the Logarithmic Case: A Direct and Simple Proof
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 LindleyExpand
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An improved approximation for assessing the statistical significance of molecular sequence features
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 allowsExpand
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Exact Distribution of the Local Score for Markovian Sequences
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
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H-Tuple Approach to Evaluate Statistical Significance of Biological Sequence Comparison with Gaps
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 approximateExpand
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A new local score based method applied to behavior-divergent quail lines sequenced in pools precisely detects selection signatures on genes related to autism
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, butExpand
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