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On vector-valued functional equations with multiple recursive terms

Published 2 Jul 2025 in math.PR | (2507.01871v1)

Abstract: In this paper, we study a vector-valued functional equation that arises naturally when we are dealing with vector-valued multiplicative Lindley-type recursions. Our work is strongly motivated by a wide range of semi-Markovian queueing, and autoregressive processes.

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