Estimates for the derivative of diffusion semigroups.
Estimates for the distribution of sums and maxima of sums of random variables without the Cramér condition.
Estimates for the distribution of the first exit time of α-stable processes
The Varopoulos-Hardy-Littlewood theory and the spectral analysis are used to estimate the tail of the distribution of the first exit time of α-stable processes.
Estimates for the expectation of the maximum of a critical Galton-Watson process on a finite interval.
Estimates for the Poisson kernel on higher rank NA groups
We obtain an estimate for the Poisson kernel for the class of second order left-invariant differential operators on higher rank NA groups.
Estimates in the invariance principle in terms of truncated power moments.
Estimates in the laws of large numbers for regular summation methods.
Estimates of Hellinger integrals of infinitely divisible distributions
Estimates of random walk exit probabilities and application to loop-erased random walk.
Estimates of some probabilities in multidimensional convex records
Convex records in Euclidean space are considered. We provide both lower and upper bounds on the probability that in a sequence of random vectors ,..., there are exactly k records.
Estimates of stability of Markov control processes with unbounded costs
For a discrete-time Markov control process with the transition probability , we compare the total discounted costs ...
Estimates of the Hausdorff dimension of the boundary of positive brownian sheet components
Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
We characterize those homogeneous translation invariant symmetric non-local operators with positive maximum principle whose harmonic functions satisfy Harnack's inequality. We also estimate the corresponding semigroup and the potential kernel.
Estimates of the rate of approximation in a de-poissonization lemma
Estimates on the solution of an elliptic equation related to Brownian motion with drift (II).
In this paper we continue the study of the Dirichlet problem for an elliptic equation on a domain in R3 which was begun in [5]. For R > 0 let ΩR be the ball of radius R centered at the origin with boundary ∂Ω R. The Dirichlet problem we are concerned with is the following:(-Δ - b(x).∇) u(x) = f(x), x ∈ Ω R,with zero boundary conditionsu(x) = 0, x ∈ ∂Ω R.
Estimating a Distribution Function in the Presence of Auxiliary Information.
Estimating an even spherical measure from its sine transform
To reconstruct an even Borel measure on the unit sphere from finitely many values of its sine transform a least square estimator is proposed. Applying results by Gardner, Kiderlen and Milanfar we estimate its rate of convergence and prove strong consistency. We close this paper by giving an estimator for the directional distribution of certain three-dimensional stationary Poisson processes of convex cylinders which have applications in material science.
Estimating interactions in binary data sequences
Estimating interactions in binary lattice data with nearest-neighbor property
Estimating the conditional expectations for continuous time stationary processes
One of the basic estimation problems for continuous time stationary processes , is that of estimating based on the observation of the single block when the actual distribution of the process is not known. We will give fairly optimal universal estimates of this type that correspond to the optimal results in the case of discrete time processes.