Statistical composition of high-scoring segments from molecular sequences
New probabilistic formulas that provide a benchmark for discerning distributional properties of various data statistics or letter sequences (e.g., DNA) are presented. These include the asymptotical extremal distribution of high aggregate segment scores and the limiting letter composition of high-scoring segments, as well as a number of associated conditional Gaussian central limit laws. These formulas are derived with respect to a general scoring scheme with i.i.d. letter values.
asymptotical extremal distribution of high aggregate segment scores
limiting letter composition of high-scoring segments
scientific article; zbMATH DE number 4170708