An approach to statistical analysis of coarsely time-Markov systems

R. Rovatti; G. Mazzini; G. Setti

An approach to statistical analysis of coarsely time-Markov systems

R. Rovatti, G. Mazzini, G. Setti

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We here give a sketch of a theoretical framework aiming at the statistical description of discrete-time systems whose state space can be partitioned in regions among which the trajectories move in a Markov-like fashion. A constructive method is given to produce an analytical z-domain expression for the joint distribution of the system state at any number observation instants. The availability of such tools should ease the analysis also of complex chaotic-maps with a possibly infinite description and exhibiting highly non-trivial statistical features.

Original language	English (US)
Title of host publication	Proceedings - IEEE International Symposium on Circuits and Systems
State	Published - Jan 1 2002
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2023-02-15

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N2 - We here give a sketch of a theoretical framework aiming at the statistical description of discrete-time systems whose state space can be partitioned in regions among which the trajectories move in a Markov-like fashion. A constructive method is given to produce an analytical z-domain expression for the joint distribution of the system state at any number observation instants. The availability of such tools should ease the analysis also of complex chaotic-maps with a possibly infinite description and exhibiting highly non-trivial statistical features.

AB - We here give a sketch of a theoretical framework aiming at the statistical description of discrete-time systems whose state space can be partitioned in regions among which the trajectories move in a Markov-like fashion. A constructive method is given to produce an analytical z-domain expression for the joint distribution of the system state at any number observation instants. The availability of such tools should ease the analysis also of complex chaotic-maps with a possibly infinite description and exhibiting highly non-trivial statistical features.

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M3 - Conference contribution

BT - Proceedings - IEEE International Symposium on Circuits and Systems

ER -

An approach to statistical analysis of coarsely time-Markov systems

Abstract

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