| Автор | Schbath, Sophie |
| Дата выпуска | 1997 |
| dc.description | Identifying words with unexpected frequencies is an important problem in the analysis of long DNA sequences. To solve it, we need an approximation of the distribution of the number of occurrences N(W) of a word W. Modeling DNA sequences with m-order Markov chains, we use the Chen-Stein method to obtain Poisson approximations for two different counts. We approximate the “declumped” count of W by a Poisson variable and the number of occurrences N(W) by a compound Poisson variable. Combinatorial results are used to solve the general case of overlapping words and to calculate the parameters of these distributions. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1997 |
| Тема | DNA sequences / word counts / Poisson approximations / compound Poisson distribution / Chen-Stein method / Markov chains / word periods. |
| Название | Compound Poisson approximation of word counts in DNA sequences |
| Тип | research-article |
| DOI | 10.1051/ps:1997100 |
| Electronic ISSN | 1262-3318 |
| Print ISSN | 1292-8100 |
| Журнал | ESAIM: Probability and Statistics |
| Том | 1 |
| Первая страница | 1 |
| Последняя страница | 16 |
| Аффилиация | Schbath Sophie; Institut National de la Recherche Agronomique, France |
