Abstract
A version for the calculation of mean first-passage time (MFPT) for non-Markovian processes driven by continuous noises has been proposed by Masoliver recently. In this article, we develop some methods for the calculation of MFPT based on the Masoliver's version. At last, we approve that the tail of switching time distribution has nothing to do with MFPT. This shows that the non-Markovian property of the tail of the switching time distribution does not influence MFPT.
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