Fortet-Mourier norms associated with some iterated function systems

Date

2000-11-01

Author

Zaharopol, R

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

46
views

0
downloads

We extend a criterion for the existence of attractive probability measures for iterated function systems which we have obtained recently. In the proof of our extension we have developed a line of investigations suggested by Lasota and Yorke (1994. Random Comput. Dyn. 2, 41-77).

Subject Keywords

Attractive probabilities, Prokhorov condition, Nonexpansive operators, Iterated function systems, Fortet-Mourier norms

URI

https://hdl.handle.net/11511/63983

Journal

STATISTICS & PROBABILITY LETTERS

DOI

https://doi.org/10.1016/s0167-7152(00)00093-6

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

MMLEs are as good as M-estimators or better Tiku, Mod L.; Sürücü, Barış (Elsevier BV, 2009-04-01) Tiku-Suresh modified maximum likelihood estimators necessitate the assumption of a particular distribution. New forms of the estimators which, like Huber M-estimators, only assume that the distribution is long-tailed symmetric (unspecified) are given. They have high breakdown and, through Simulations, are shown to be overall more efficient than M-estimators.
Experimental design with short-tailed and long-tailed symmetric error distributions Yilmaz, Yıldız Elif; Akkaya, Ayşen; Department of Statistics (2004) One-way and two-way classification models in experimental design for both balanced and unbalanced cases are considered when the errors have Generalized Secant Hyperbolic distribution. Efficient and robust estimators for main and interaction effects are obtained by using the modified maximum likelihood estimation (MML) technique. The test statistics analogous to the normal-theory F statistics are defined to test main and interaction effects and a test statistic for testing linear contrasts is defined. It is ...
Finite bisimulations for switched linear systems Aydın Göl, Ebru; Lazar, Mircea; Belta, Calin (2013-02-04) In this paper, we consider the problem of constructing a finite bisimulation quotient for a discrete-time switched linear system in a bounded subset of its state space. Given a set of observations over polytopic subsets of the state space and a switched linear system with stable subsystems, the proposed algorithm generates the bisimulation quotient in a finite number of steps with the aid of sublevel sets of a polyhedral Lyapunov function. Starting from a sublevel set that includes the origin in its interio...
Finite Bisimulations for Switched Linear Systems Aydın Göl, Ebru; Lazar, Mircea; Belta, Calin (2014-12-01) In this paper, we consider the problem of constructing a finite bisimulation quotient for a discrete-time switched linear system in a bounded subset of its state space. Given a set of observations over polytopic subsets of the state space and a switched linear system with stable subsystems, the proposed algorithm generates the bisimulation quotient in a finite number of steps with the aid of sublevel sets of a polyhedral Lyapunov function. Starting from a sublevel set that includes the origin in its interio...
Fuzzy Discrete Event Systems for Multiobjective Control: Framework and Application to Mobile Robot Navigation Schmidt, Klaus Verner (2012-10-01) Fuzzy discrete event systems (FDESs) have been introduced in recent years to model systems whose discrete states or discrete state transitions can be uncertain and are, hence, determined by a possibility degree. This paper develops an FDES framework for the control of sampled data systems that have to fulfill multiple objectives. The choice of a fuzzy system representation is justified by the assumption of a controller realization that depends on various potentially imprecise sensor measurements. The propos...

Citation Formats

R. Zaharopol, “Fortet-Mourier norms associated with some iterated function systems,” STATISTICS & PROBABILITY LETTERS, pp. 149–154, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63983.