The Monte Carlo method is one of the most powerful mathematical techniques that, through calculation, analyzes risk and allows solving physical problems computer programs. Using historical data creates predicts models possible future results by substituting a range values, calculating repeatedly, using different group random values probability functions to predict potential effects some uncerta...

In this note we continue the study of gaps in samples of geometric random variables originated in Hitczenko and Knopfmacher [Gap-free compositions and gap-free samples of geometric random variables. Discrete Math. 294 (2005) 225–239] and continued in Louchard and Prodinger [The number of gaps in sequences of geometrically distributed random variables, Preprint available at 〈http://www.ulb.ac.be...