On the Chung-Diaconis-Graham random process.
On the conditional expectation in a regular ordered space
On the continuity of convolution semigroups.
On the continuity of the vector valued and set valued conditional expectations.
On the convergence of bilinear and quadratic forms in independent random variables
On the convolution of a probability measure.
On the correct discrimination of Gaussian hypotheses. II.
On the decomposition of continuous flows on the Polish space
On the definition of a probalistic normed space.
On the density of log concave seminorms on vector spaces
On the distribution of random variables corresponding to Musielak-Orlicz norms
Given a normalized Orlicz function M we provide an easy formula for a distribution such that, if X is a random variable distributed accordingly and X₁,...,Xₙ are independent copies of X, then , where is a positive constant depending only on p. In case p = 2 we need the function t ↦ tM’(t) - M(t) to be 2-concave and as an application immediately obtain an embedding of the corresponding Orlicz spaces into L₁[0,1]. We also provide a general result replacing the -norm by an arbitrary N-norm. This...
On the distribution of the norm for a gaussian measure
On the existence of conditional density functions
On the existence of probability measures with given marginals
Let be a compact ordered space and let be two probabilities on such that for every increasing continuous function . Then we show that there exists a probability on such that(i) , where is the graph of the order in ,(ii) the projections of onto are and .This theorem is generalized to the completely regular ordered spaces of Nachbin and also to certain infinite products. We show how these theorems are related to certain results of Nachbin, Strassen and Hommel.
On the existence of resolvents
On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces II.
On the existence of uniformly distributed sequences in compact spaces
On the explosion of the local times along lines of brownian sheet
On the Feller strong law of large numbers for fields of -valued random variables.
On the Fourier transform on the infinite symmetric group.