Existence and uniqueness of a stationary and ergodic solution to stochastic recurrence equations via Matkowski’s FPT

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Existence and uniqueness of a stationary and ergodic solution to stochastic recurrence equations via Matkowski’s FPT (EL)

Arvanitis, Stelios (EL)

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NonPeerReviewed

03/13/2017
2025-03-26T19:39:29Z
2017-03-13 16:09:56


We establish the existence of a unique stationary and ergodic solution for systems of stochastic recurrence equations defined by stochastic self-maps on Polish metric spaces based on the fixedpoint theorem of Matkowski. The results can be useful in cases where the stochastic Lipschitz co-efficients implied by the currently used method either do not exist, or lead to the imposition ofunecessarily strong conditions for the derivation of the solution. (EN)


stochastic recurrence equations (EL)
stationarity (EL)
Matkowski’s FPT (EL)
ergodicity (EL)
comparison function (EL)


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CC BY: Attribution alone 4.0




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