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arXiv · 1907.11982

On polynomial recurrence for reliability system with a warm reserve

Alexander Veretennikov
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Abstract

Conditions for positive and polynomial recurrence have been proposed for a class of reliability models of two elements with transitions from working state to failure and back. As a consequence, uniqueness of stationary distribution of the model is proved; the rate of convergence towards this distribution may be theoretically evaluated on the basis of the established recurrence.

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Alexander Veretennikov. 2020-05-27. On polynomial recurrence for reliability system with a warm reserve. https://doi.org/10.1007/s11134-019-09626-x

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