The automatic extraction of statistically relevant expressions of any language from raw (non-annotated) corpora is a very useful task, specially when it may be used for the study of data from old texts, given the unavailability of informants, the large amount of graphic variants found in that kind of texts and the scarcity of annotated texts. Furthermore, statistically based extraction of compl...

The toss of a coin is usually regarded as the epitome of randomness, and has been used for ages as a means to resolve disputes in a simple, fair way. Perhaps as ancient as consulting objects such as coins and dice is the art of maliciously biasing them in order to unbalance their outcomes. However, it is possible to employ a biased device to produce equiprobable results in a number of ways, the...

We construct irreducible balanced nontransitive sets of n -sided dice for any positive integer id="M2"> . One main tool the construction is to study so-called fair dice. Furthermore, we also distribution probabilities For a lower bound, show that winning probability can be arbitrarily close id="M3"> 1 /...

We study, in various special cases, total distributions on the product of a finite collection of finite probability spaces and, in particular, the question of when the probability distribution of each factor space is determined by the total