Add to ORKGMetric entropy of the class of probability distribution functions on [0, 1] with a k-monotone density is studied through its connection with the small ball probability of k-times integrated Brownian motions.
We study the small deviation probabilities of a family of very smooth self-similar Gaussian processe...
AbstractIn this paper, we derive some monotonicity properties of generalized entropy functionals of ...
Let X be a Gaussian process and let U denote the Strassen ball of X. A precise link between the L^...
AbstractWe establish a precise link between the small ball problem for a Gaussian measure μ on a sep...
AbstractLet Td:L2([0, 1]d)→C([0, 1]d) be the d-dimensional integration operator. We show that its Ko...
A precise link proved by J. Kuelbs and W. V. Li relates the small ball behavior of a Gaussian measur...
AbstractThe paper contains estimates for the entropy numbers of classes of functions with conditions...
We establish upper and lower bounds for the metric entropy and bracketing entropy of the class of d-...
Let Td: L2([0, 1]d) C([0, 1]d) be the d-dimensional integration operator. We show that its Kolmogo...
We establish upper and lower bounds for the metric entropy and bracketing entropy of the class of d-...
While many data processing techniques assume that we know the probability distributions, in practice...
We investigate the small deviation probabilities of a class of very smooth stationary Gaussian proce...
This thesis discusses the small deviation problem -- also called small ball or lower tail probabilit...
AbstractConsidered here are absolutely continuous probability distributions, concentrated on the int...
A characterization of the entropy —∫ f log f dx of a random variable is provided. If X is a random v...
We study the small deviation probabilities of a family of very smooth self-similar Gaussian processe...
AbstractIn this paper, we derive some monotonicity properties of generalized entropy functionals of ...
Let X be a Gaussian process and let U denote the Strassen ball of X. A precise link between the L^...
AbstractWe establish a precise link between the small ball problem for a Gaussian measure μ on a sep...
AbstractLet Td:L2([0, 1]d)→C([0, 1]d) be the d-dimensional integration operator. We show that its Ko...
A precise link proved by J. Kuelbs and W. V. Li relates the small ball behavior of a Gaussian measur...
AbstractThe paper contains estimates for the entropy numbers of classes of functions with conditions...
We establish upper and lower bounds for the metric entropy and bracketing entropy of the class of d-...
Let Td: L2([0, 1]d) C([0, 1]d) be the d-dimensional integration operator. We show that its Kolmogo...
We establish upper and lower bounds for the metric entropy and bracketing entropy of the class of d-...
While many data processing techniques assume that we know the probability distributions, in practice...
We investigate the small deviation probabilities of a class of very smooth stationary Gaussian proce...
This thesis discusses the small deviation problem -- also called small ball or lower tail probabilit...
AbstractConsidered here are absolutely continuous probability distributions, concentrated on the int...
A characterization of the entropy —∫ f log f dx of a random variable is provided. If X is a random v...
We study the small deviation probabilities of a family of very smooth self-similar Gaussian processe...
AbstractIn this paper, we derive some monotonicity properties of generalized entropy functionals of ...
Let X be a Gaussian process and let U denote the Strassen ball of X. A precise link between the L^...