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Mean first passage times of two-dimensional processes with jumps

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  • Bo, Lijun
  • Lefebvre, Mario

Abstract

In this paper, we incorporate a jump component into the model based on a two-dimensional degenerate diffusion process for the remaining lifetime of machines in the recent paper [Lefebvre, M., 2010. Mean first-passage time to zero for wear processes. Stochastic Models 26, 46-53] by the second author. We calculate explicitly the expected value of first passage times associated to the two-dimensional process when the jump component is taken to be a compound Poisson process with exponential jumps and random proportion of jumps.

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  • Bo, Lijun & Lefebvre, Mario, 2011. "Mean first passage times of two-dimensional processes with jumps," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1183-1189, August.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:8:p:1183-1189
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    References listed on IDEAS

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    1. Wang, Xiao, 2010. "Wiener processes with random effects for degradation data," Journal of Multivariate Analysis, Elsevier, vol. 101(2), pages 340-351, February.
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