A law of uniform seniority for dependent lives

On the Convergence Rate of the Law of Large Numbers for Sums of Dependent Random Variables

In this paper, we generalize some results of Chandra and Goswami [4] for pairwise negatively dependent random variables (henceforth r.v.’s). Furthermore, we give Baum and Katz’s [1] type results on estimate for the rate of convergence in these laws.

Wanted: Uniform Law Enforcement

MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES

In the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. Let be a double sequence of pairwise negatively dependent random variables. If for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). In addition, it also converges to 0 in ....

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

A Log Log Law for Maximal Uniform Spacings

McGill University Let X1 , X2, • . . be a sequence of independent uniformly distributed random variables on [0, 1] and Kn be the kth largest spacing induced by X 1 , X12 . We show that P(Kn < (log n log3n log 2)/n i .o .) = 1 where log, is the j times iterated logarithm. This settles a question left open in Devroye (1981) . Thus, we have lim inf(nKn log n + log3n) _ -log 2 almost surely, and li...