A Note on the Almost Sure Approximation of Weakly Dependent Random Variables.
A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.
The goal of this paper is to show that, in most strong laws of large numbers, the nth partial sum can be replaced with the largest of the first n sums. Moreover it is shown that the usual assumptions of independence and common distribution are unnecessary and that these results apply also to strong laws for Banach valued random elements.
A note on the asymptotic behavior of the heights in -trees for large.
A note on the asymptotic independence of maximum and minimum of stationary sequences with extremal index
A note on the exponential convergence rate for products of sums
A note on the invariance principle of the product of sums of random variables.
A note on the k-th distance random variables
A note on the L1-convergence of a superadditive bisexual Galton-Watson process.
A note on the martingale central limit theorem
A note on the rate of complete convergence for maximums of partial sums for moving average processes in Rademacher type Banach spaces.
A note on the strong consistency of least squares estimates
The strong consistency of least squares estimates in multiples regression models with i.i.d. errors is obtained under assumptions on the design matrix and moment restrictions on the errors.
A note on the strong law of large numbers for associated sequences.
A note on the two-sided regulated random walk
A PDE approach to certain large deviation problems for systems of parabolic equations
A penalized bandit algorithm.
A probabilistic approach to the asymptotics of the length of the longest alternating subsequence.
A probabilistic description of the three theorems of Hardy.
A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree.
A probalistic solution of the Neumann problem.
A proof of a non-commutative central limit theorem by the Lindeberg method.