Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Pascu, Mihai N."'
In the present paper we show that in P\'{o}lya's urn model, for an arbitrarily fixed initial distribution of the urn, the corresponding random variables satisfy a convex ordering with respect to the replacement parameter. As an application, we show t
Externí odkaz:
http://arxiv.org/abs/2201.05870
Recently we introduced a new Bernstein-type operator using P\'olya's urn model with negative replacement, and we showed that it satisfies a Popoviciu-type inequality with a constant slightly larger than that of the corresponding inequality for the cl
Externí odkaz:
http://arxiv.org/abs/1803.09235
Using P\'{o}lya's urn model with negative replacement we introduce a new Bernstein-type operator and we show that the new operator improves upon the known estimates for the classical Bernstein operator. We also provide numerical evidence showing that
Externí odkaz:
http://arxiv.org/abs/1710.08818
Autor:
Pascu, Mihai N., Popescu, Ionel
We consider the model space of constant curvature in dimension n and characterize all co-adapted couplings of Brownian motions on this space for which the distance between the processes is deterministic. In addition, the construction of the coupling
Externí odkaz:
http://arxiv.org/abs/1507.05202
Autor:
Pascu, Mihai N.
In this paper we consider stochastic differential equations with discontinuous diffusion coefficient of varying sign, for which weak existence and uniqueness holds but strong uniqueness fails. We introduce the notion of $\varphi $-strong solution, an
Externí odkaz:
http://arxiv.org/abs/1309.1551
Autor:
Pascu, Mihai N., Popescu, Ionel
In this paper we introduce three Markovian couplings of Brownian motions on smooth Riemannian manifolds without boundary which sit at the crossroad of two concepts. The first concept is the one of shy coupling put forward in \cite{Burdzy-Benjamini} a
Externí odkaz:
http://arxiv.org/abs/1210.7217
Autor:
Pascu, Mihai N.
In a series of papers, Burdzy et. al. introduced the \emph{mirror coupling} of reflecting Brownian motions in a smooth bounded domain $D\subset \mathbb{R}^{d}$, and used it to prove certain properties of eigenvalues and eigenfunctions of the Neumann
Externí odkaz:
http://arxiv.org/abs/1004.2398
Autor:
Pascu, Mihai N., Pascu, Nicolae R.
The main result shows a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighborhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothes
Externí odkaz:
http://arxiv.org/abs/0910.5456
Autor:
Pascu, Mihai N., Gageonea, Maria E.
A well known conjecture of R. Laugesen and C. Morpurgo asserts that the diagonal element of the Neumann heat kernel of the unit ball in $\mathbb{R}^{n}$ ($n\geq1$) is a radially increasing function. In this paper, we use probabilistic arguments to se
Externí odkaz:
http://arxiv.org/abs/0807.4726
Autor:
Pascu, Mihai N.
Publikováno v:
Proceedings of the American Mathematical Society, 2005 Jun 01. 133(6), 1707-1711.
Externí odkaz:
https://www.jstor.org/stable/4097708
