Occurrence of structured motifs in random sequences: Arbitrary number of boxes
Résumé
Structured motifs with arbitrary number of boxes are considered. In particular, such motifs are of interest in molecular biology for identifying gene promoters along genomes. Neat closed-form expressions for relevant distributions associated with occurrences of structured motifs are derived. Our methodology is based on developing a suitable semi-Markov embedding of the problem. A numerical example is also provided.