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72 (0,105s)

Result

Typical Martingale Diverges at a Typical Point

We investigate convergence of martingales adapted to a given filtration compact space K such that martingales adapted to the filtration can be canonically represented on K. We further show that (except for trivial cases) typical

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Convergence of a typical martingale (A remark on the Doob theorem)

We study convergence behavior of discrete martingales with values in the interval [0,1] from a measure theoretical point of view as well as from a topological one. We show that almost all martingales converge to 0 or 1 almost everyw...

BA - Obecná matematika

  • 2014
  • Jx
  • Link
Result

'Moment problem' solution of local martingale problem

The martingale problem is studied from the point of view of moment problem. Using these techniques we can find existence of solution of the martingale problem and hence the existence of weak solution of the corresponding SDE....

BA - Obecná matematika

  • 2002
  • Vx
Result

Local Martingale Measures

Local Martingale Measures...

BA - Obecná matematika

  • 1999
  • Jx
Result

Diagonal approximations by martingales

In the paper, we study and compare several types of approximations of stationary processes by martingales.

BB - Aplikovaná statistika, operační výzkum

  • 2010
  • Jx
Result

Universal and complete sets in martingale theory

martingale has measure zero. We prove that, conversely, any G(delta sigma) subset of some martingale. In fact, this is effective and uniform. A consequence of this is that the set of everywhere converging martingales is Pi...

Pure mathematics

  • 2018
  • Jimp
  • Link
Result

Convex Analysis for Sets of Local Martingale Measures

Convex Analysis for Sets of Local Martingale Measures...

BA - Obecná matematika

  • 2000
  • Jx
Result

A note on week convergence on martingale measures

It is investigated the topology of the set of all distributions of pairs (X,Y) such that Y is a real continuous local martingale on the canonical filtration of the process X and X is stochastic process on a separable metric space T....

BA - Obecná matematika

  • 2002
  • Jx
Result

Locale martingale measures

The purpose of the paper is to investigate the sets of solutions of the Stroock-Varadhan (local) martingale problem.

BA - Obecná matematika

  • 2000
  • Jx
Result

Brownian representations of cylindrical local martingales, martingale problem and strong Markov property of weak solutions of SPDEs in Banach spaces

The paper deals with three issues. First we show a sufficient condition for a cylindrical local martingale to be a stochastic integral with respect to a cylindrical Wiener process. Secondly, we state an infinite dimensional version of the

BA - Obecná matematika

  • 2005
  • Jx
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