caa a22 4500 469040726 CHVBK 20180323132810.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF01581622 doi (NATIONALLICENCE)springer-10.1007/BF01581622 Konecny F. Institut für Mathematik und Angewandte Statistik der Universität für Bodenkultur, Wien Gregor Mendel-Strasse 33, A-1180, Wien, Österreich aut On the shot-noise streamflow model and its applications [Elektronische Daten] [F. Konecny] In this paper we consider the shot-noise model of streamflow series. We show how design discharge can be obtained by the stochastic intensity of thinned Poisson processes describing the peaks over a threshold. The main result concerns the stationary distribution of peaks. We derive an explicit expression for this limit distribution in terms of its Laplace transform. Approximation formulas are developed making use of the saddle point method for the asymptotic evaluation of contour integrals and the Post-Widder formula for inversion of Laplace transforms. We illustrate this methods on the case of Gamma-distributed shots. The stationary peak distribution is used to approximate the maximum value distribution for larger time intervals. Springer-Verlag, 1992 Stream flow series nationallicence shot-noise model nationallicence sadolle-point approximation nationallicence Stochastic Hydrology and Hydraulics Springer-Verlag 6/4(1992-12-01), 289-303 0931-1955 6:4<289 1992 6 477 https://doi.org/10.1007/BF01581622 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01581622 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Konecny F. Institut für Mathematik und Angewandte Statistik der Universität für Bodenkultur, Wien Gregor Mendel-Strasse 33, A-1180, Wien, Österreich aut NATIONALLICENCE 773 0- Stochastic Hydrology and Hydraulics Springer-Verlag 6/4(1992-12-01), 289-303 0931-1955 6:4<289 1992 6 477 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer