About the stationary states of vortex systems
Accuracy of approximation in the Poisson theorem in terms of the -distance.
Acknowledgment of priority: “When does a randomly weighted self-normalized sum converge in distribution?”.
Addendum: A generalization of the global limit theorems of R. P. Agnew.
Additive and superadditive local theorems
Again on the weak law in martingale type p Banach spaces.
Almost sure central limit theorem without logarithmic sums.
Almost sure central limit theorems for strongly mixing and associated random variables.
Almost sure functional central limit theorem for ballistic random walk in random environment
We consider a multidimensional random walk in a product random environment with bounded steps, transience in some spatial direction, and high enough moments on the regeneration time. We prove an invariance principle, or functional central limit theorem, under almost every environment for the diffusively scaled centered walk. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.
Almost sure functional limit theorem for the product of partial sums
We prove an almost sure functional limit theorem for the product of partial sums of i.i.d. positive random variables with finite second moment.
Almost sure functional limit theorems in .
An almost sure central limit theorem for independent random variables
An application of the voter model–super-brownian motion invariance principle
An approach to generating uniform distribution
An asymptotic representation of the likelihood ratio for irregular families of distributions in the multivariate case.
An Edgeworth expansion for a sum of m-dependent random variables.
An extreme-value analysis of the LIL for Brownian motion.
An Improved General Stochastic Inequality
An inequality for the asymmetry of distributions and a Berry-Esseen theorem for random summation.
An inequality for the distribution of a sum of certain Banach space valued random variables