In the following, an overview is given on statistical and probabilistic properties of words, as
occurring in the analysis of biological sequences. Counts of occurrence, counts of clumps …

Expert practical and theoretical coverage of runs and scans This volume presents both
theoretical and applied aspects of runs and scans, and illustrates their important role in …

Advances in computers and biotechnology have had a profound impact on biomedical
research, and as a result complex data sets can now be generated to address extremely …

Extreme value theory (EVT) deals with extreme (rare) events. Such events/variables are
often reported as outliers. In some textbooks one can find recommendations to remove …

In this paper, we give an overview about the different results existing on the statistical
distribution of word counts in a Markovian sequence of letters. Results concerning the …

Introduction. The context--Randomness and models--A bit of biology--Simple models for
biological sequences. Why a model?--Permutation model--Bernoulli model--Introduction to …

We propose an original statistical method to estimate how the occurrences of a given
process along a genome, genes or motifs for instance, may be influenced by the …

In the framework of patterns in random texts, the Markov chain embedding techniques
consist of turning the occurrences of a pattern over an order-m Markov sequence into those …

Markov chains and hidden Markov chains have applications in many areas of engineering
and genomics. This book provides a basic introduction to the subject by first developing the …

The exact distribution of word counts in random sequences and several approximations
have been proposed in the past few years. The exact distribution has no theoretical limit but …