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arXiv · 1404.5532

Exact solution to a Lindley-type equation on a bounded support

Maria Vlasiou·Ivo J. B. F. Adan
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Abstract

We derive the limiting waiting-time distribution $F_W$ of a model described by the Lindley-type equation $W=\max\{0, B - A - W\}$, where $B$ has a polynomial distribution. This exact solution is applied to derive approximations of $F_W$ when $B$ is generally distributed on a finite support. We provide error bounds for these approximations.

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Maria Vlasiou, Ivo J. B. F. Adan. 2014-04-22. Exact solution to a Lindley-type equation on a bounded support. https://arxiv.org/abs/1404.5532

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