R. Zeitak, SHORT-TIME EXPANSION FOR FIRST PASSAGE DISTRIBUTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2560-2567
The probability that a stationary correlated Gaussian process does not
cross zero in an interval of length t is computed to fifth order in t
by a short time expansion. The difficulties inherent ill finding high
er order terms are discussed. The expansion is tested by simulations a
nd comparison to some approximate results.