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 allows us to obtain a new approximation of the distribution of the local score of one sequence. This approx...
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| Veröffentlicht in: | Journal of applied probability 2003-06, Vol.40 (2), p.427-441 |
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| container_title | Journal of applied probability |
| container_volume | 40 |
| creator | Mercier, S. Cellier, D. Charlot, D. |
| description | 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 us to obtain a new approximation of the distribution of the local score of one sequence. This approximation improves the one given by Karlin
et al.,
which can be deduced from this new formula. We obtain a more accurate asymptotic expression with additional terms. Examples of application are given. |
| doi_str_mv | 10.1017/S0021900200019409 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0021-9002 |
| ispartof | Journal of applied probability, 2003-06, Vol.40 (2), p.427-441 |
| issn | 0021-9002 1475-6072 |
| language | eng |
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| source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| title | An improved approximation for assessing the statistical significance of molecular sequence features |
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