On some length biased inequalities for reliability measures.
On some limit distributions for geometric random sums
We define and give the various characterizations of a new subclass of geometrically infinitely divisible random variables. This subclass, called geometrically semistable, is given as the set of all these random variables which are the limits in distribution of geometric, weighted and shifted random sums. Introduced class is the extension of, considered until now, classes of geometrically stable [5] and geometrically strictly semistable random variables [10]. All the results can be straightforward...
On some limit properties of the reward from a Markov replacement process
On some limit theorems for solutions of stochastic differential equations
On some maximal inequalities for demisubmartingales and -demisuper martingales.
On some mean oscillation inequalities for martingales.
On some method for diagnosing convergence in MCMC setups via atoms and renewal sets
On some properties of J-convex stochastic processes.
On Some Properties of the Linear Function Poisson Binomial and Negative Binomial Distributions.
On some properties of the Lüroth-type alternating series representations for real numbers.
On some properties of transition operators.
On some queue length controlled stochastic processes.
On some random convex sets
On some recent aspects of stochastic control and their applications.
On some regularity properties of quadratic stochastic processes.
On some regularity properties of solutions to stochastic evolution equations in Hilbert spaces
On some sample path properties of Skorohod integral processes
On some sequences derived from the Poisson distribution.
On some shift invariant integral operators, univariate case
In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and...
On some stability properties of stochastic differential equations of Itô's type