Occupation times of compact sets by planar brownian motion
On asymptotic behaviors and convergence rates related to weak limiting distributions of geometric random sums
Geometric random sums arise in various applied problems like physics, biology, economics, risk processes, stochastic finance, queuing theory, reliability models, regenerative models, etc. Their asymptotic behaviors with convergence rates become a big subject of interest. The main purpose of this paper is to study the asymptotic behaviors of normalized geometric random sums of independent and identically distributed random variables via Gnedenko's Transfer Theorem. Moreover, using the Zolotarev probability...
On asymptotic properties of the rank of a special random adjacency matrix.
On complete convergence for arrays of rowwise -mixing random variables and its applications.
On complete convergence for weighted sums of -mixing random variables.
On domains of attraction of record value distributions
On infinite products of independent random elements on metric semigroups
On limit distribution of the Riemann zeta-function
On properties of binary random numbers
On statistically convergent sequences of real numbers
On subsets of and -stable processes
On the asymptotic equidistribution of sums of independent identically distributed random variables
On the asymptotic events of a Markov chain.
On the bounded laws of iterated logarithm in Banach space
In the present paper, by using the inequality due to Talagrand's isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.
On the bounded laws of iterated logarithm in Banach space
In the present paper, by using the inequality due to Talagrand’s isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.
On the convergence of bilinear and quadratic forms in independent random variables
On the difference between the product and the convolution product of distribution functions.
On the discretization in time of parabolic stochastic partial differential equations
We first generalize, in an abstract framework, results on the order of convergence of a semi-discretization in time by an implicit Euler scheme of a stochastic parabolic equation. In this part, all the coefficients are globally Lipchitz. The case when the nonlinearity is only locally Lipchitz is then treated. For the sake of simplicity, we restrict our attention to the Burgers equation. We are not able in this case to compute a pathwise order of the approximation, we introduce the weaker notion...
On the discretization in time of parabolic stochastic partial differential equations
We first generalize, in an abstract framework, results on the order of convergence of a semi-discretization in time by an implicit Euler scheme of a stochastic parabolic equation. In this part, all the coefficients are globally Lipchitz. The case when the nonlinearity is only locally Lipchitz is then treated. For the sake of simplicity, we restrict our attention to the Burgers equation. We are not able in this case to compute a pathwise order of the approximation, we introduce the weaker notion...
On the number of local extrema in a sequence of independent random variables