Results 11 to 20 of about 5,443 (259)

On Smooth Martingales

open access: yesJournal of Functional Analysis, 1994
The paper is devoted to quasi-sure analysis of Wiener functionals. The author works on the probability space \(X= C_ 0 ([0, \infty)\to R^ d)\) of the \(d\)-dimensional Brownian motion on \([0, +\infty)\). He gives a quasi-sure version of Kolmogorov's criterion for the continuity of trajectories of a stochastic process, and proves that any \(W_ \infty\)-
Ren, J.G.
openaire   +3 more sources

A functional limit law for the profile of plane-oriented recursive trees. [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
We give a functional limit law for the normalized profile of random plane-oriented recursive trees. The proof uses martingale convergence theorems in discrete and continuous-time. This complements results of Hwang (2007).
Henning Sulzbach
doaj   +1 more source

Martingale-like sequences in Banach lattices

open access: yesModern Stochastics: Theory and Applications, 2018
Martingale-like sequences in vector lattice and Banach lattice frameworks are defined in the same way as martingales are defined in [Positivity 9 (2005), 437–456].
Haile Gessesse, Alexander Melnikov
doaj   +1 more source

Exact bounds for tail probabilities of martingales with bounded differences

open access: yesLietuvos Matematikos Rinkinys, 2009
We consider random walks, say Wn = {0, M1, . . ., Mn} of length n starting at 0 and based on a martingale sequence Mk = X1 + ··· + Xk with differences Xm. Assuming |Xk| \leq 1 we solve the isoperimetric problem Bn(x) = supP\{Wn visits an interval [x,∞
Dainius Dzindzalieta
doaj   +1 more source

On Barrier Binary Options in the Telegraph-like Financial Market Model

open access: yesComputation, 2022
The article continues the study of the market model based on jump-telegraph processes. It is assumed that the price of a risky asset follows the stochastic exponential of a piecewise linear process, equipped with jumps that occur at the moments of a ...
Nikita Ratanov
doaj   +1 more source

Martingale Morrey-Hardy and Campanato-Hardy Spaces

open access: yesJournal of Function Spaces and Applications, 2013
We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012.
Eiichi Nakai   +2 more
doaj   +1 more source

Conditioned martingales

open access: yesElectronic Communications in Probability, 2012
Corrected several typos, improved formulations. Accepted by Electronic Communications in Probability; Electronic Communications in Probability, 2012, Volume 17, Issue ...
Perkowski, Nicolas, Ruf, Johannes
openaire   +4 more sources

A note on dilations and martingales

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
The purpose of this note is to investigate the effect of dilations on martingales and to give conditions under which a dilated martingale will retain the martingale property.
Martin L. Jones
doaj   +1 more source

Martingales and an Application

open access: yes, 2022
We set up some of the basic probability concepts needed to define martingales. We study ”strategies” on martingales and how they help us prove convergence. In addition, we prove decomposition of processes in terms of martingales.
Abhijeet Anand Mulgund (14073792)
core   +1 more source

Local asymptotic normality of statistical models of discrete martingales

open access: yesLietuvos Matematikos Rinkinys, 2023
We establish general conditions assuring the local asymptotic normality of statistical experiments of discrete or purely discontinuous local martingales obtained models of point processes of all types were found out.
Vaidotas Kanišauskas
doaj   +3 more sources

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