ON RANDOM MAPS CORRELATED WITH RANDOM DENSITIES
Mohamed Hmissi1, Farida Mokchaha2
1College of Science, Department of Mathematics and Statistics
Imam Muhammad Ibn Saud Islamic University
Riyadh-11623, SAUDI ARABIA
2College of Science, Department of Mathematics and Statistics
Imam Muhammad Ibn Saud Islamic University
Riyadh-11623, SAUDI ARABIA

Abstract

Let q = (qij) : 1 ≤ i ≤ I, 1 ≤ j &le J be a bivariate probability vector, let T = (T1,..., TI ) be a sequence of ρ-nonsingular transformations defined on a probability space (E,B, ρ) and let f" = (f1,..., fJ ) be a sequence of densities in L1(ρ). In this paper, we construct in a natural way, a discrete random dynamical system (with skew product Φ) generated by T and the first marginal of q and a random density ρ generated by f" and the second marginal of q. Moreover, we characterize the Φ-invariance of ξ.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 6
Year: 2022

DOI: 10.12732/ijam.v35i6.7

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