We consider a multivariate distributional recursion of sum type, as arises in the probabilistic analysis of algorithms and random trees. We prove an upper tail bound for the solution using Chernoff's ...

Advances in Applied Probability, Vol. 41, No. 3 (SEPTEMBER 2009), pp. 845-873 (29 pages) Large deviation principles and related results are given for a class of Markov chains associated to the 'leaves ...

After earlier explaining how to compute disorder and split data in his exploration of machine learning decision tree classifiers, resident data scientist Dr. James McCaffrey of Microsoft Research now ...