We investigate the sequence of difference-sign runs length of a time series in the context of non-parametric tests for serial independence. This sequence is, under suitable conditioning, a stationary sequence and we prove that the normalized correlation of two consecutive runs length is small...

The use of Bayesian approach in forensic science requires the evaluation of likelihood ratio related to the crime scene evidence (denoted as event E) and the suspect characteristic (denoted as event C). This evaluation is trivially naught when the two events are disjoint, and it is a fraction...

The use of Bayesian approach in forensic science requires the evaluation of the likelihood ratio related to the crime scene evidence event E and the suspect characteristic event C. This evaluation fails when the two events are disjoint, i.e. the evidence E is not compatible with the...