Estimates of some probabilities in multidimensional convex records
Volume 23 / 1995
Applicationes Mathematicae 23 (1995), 1-11
DOI: 10.4064/am-23-1-1-11
Abstract
Convex records in Euclidean space are considered. We provide both lower and upper bounds on the probability $p_n(k)$ that in a sequence of random vectors $X_1$,..., $X_n$ there are exactly k records.
