caa a22 4500 469040718 CHVBK 20180323132810.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF01581448 doi (NATIONALLICENCE)springer-10.1007/BF01581448 On the lengths of crossing exursions: the case of a discrete normal process with underlying exponential autocovariance [Elektronische Daten] [D. Furbish, W. Parker] An expression is derived for the probability distribution of excursion lengths above a fixed level, for the specific case of a discrete random process sampled from an underlying, continuous normal process with exponential autocovariance function. The expression can be integrated numerically for small excursion lengths, and used with time-series simulations to qualitatively reveal the form of the distribution. Such computations indicate that excursions lengths are well approximated by a Weibull distribution to at least the 0.95 probability value. The fit improves with increasing fixed level, and with decreasing time constant of the process. In addition, an expression is given for the expected number of crossings of a fixed level, analogous to well known formulae used in estimating expected values for the cases of a continuous process and a discrete stepped process. Springer-Verlag, 1992 Crossing theory nationallicence exponential autocovariance model nationallicence discrete time series nationallicence Weibull distribution nationallicence Furbish D. Dept. of Geology and Geophystical Fluid Dynamics Institute, B-160, Florida State University, 32306-3026, Tallahassee, Florida, USA aut Parker W. Dept. of Geology and Geophystical Fluid Dynamics Institute, B-160, Florida State University, 32306-3026, Tallahassee, Florida, USA aut Stochastic Hydrology and Hydraulics Springer-Verlag 6/3(1992-09-01), 167-182 0931-1955 6:3<167 1992 6 477 https://doi.org/10.1007/BF01581448 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01581448 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Furbish D. Dept. of Geology and Geophystical Fluid Dynamics Institute, B-160, Florida State University, 32306-3026, Tallahassee, Florida, USA aut NATIONALLICENCE 700 1- Parker W. Dept. of Geology and Geophystical Fluid Dynamics Institute, B-160, Florida State University, 32306-3026, Tallahassee, Florida, USA aut NATIONALLICENCE 773 0- Stochastic Hydrology and Hydraulics Springer-Verlag 6/3(1992-09-01), 167-182 0931-1955 6:3<167 1992 6 477 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer