Abstract
In this paper we report some results of the application of a new stochastic model applied to rainfall daily data. The Poisson models, characterized only by the expected rate of events (impulse occurrences, that is the mean number of impulses per unit time) and the assigned probability distribution of the phenomenon magnitude, do not take into consideration the datum regarding the duration of the occurrences, that is fundamental from a hydrological point of view. In order to describe the phenomenon in a way more adherent to its physical nature, we propose a new model simple and manageable. This model takes into account another random variable, representing the duration of the rainfall due to the same occurrence. Estimated parameters of both models and related confidence regions are obtained.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
CADDEMI, S. and DI PAOLA, M. (1995): Ideal and physical white noise in stochastic; analysis, Int. Journal Nonlinear Mechanics, 31,(5), 581–590.
CALENDA, G. and NAPOLITANO, F. (1999): Parameter estimation of neymanscott processes for temporal point rainfall simulation, Journal of Hydrology, 225, 45–66.
DI PAOLA, M. (1997): Linear systems excited by polynomials of filtered poisson pulses, Journal of Applied Mechanics, 64, 712–717.
DI PAOLA, M. and FALSONE, G. (1993 a): Itô and stratonovich integral for delta-correlated processes, Probabilistic Engineering Mechanics, 8, 197–208.
DI PAOLA, M. and FALSONE, G. (1993 b): Stochastic dynamics of nonlinear systems driven by non normal delta-correlated process, Journal of Applied Mechanics, 60, 141–148.
DI PAOLA, M. and VASTA, M. (1997): Stochastic integro-differential equation and differential equations of nonlinear systems excited by parametric poisson pulses, International Journal of Nonlinear Mechanics, 32(5), 855–862.
GRUNWALD, G.K. and RICHARD, H.J. (2000): Markov models for time series with mixed distribution. Environmetries, 11, 327–339.
PIRROTTA, A. (1998): Non-linear systems under delta-correlated processes handled by perturbation theory, Probabilistic Engineering Mechanics, 13(4), 283–290.
SITARAMAN, H. (1991): Approximation of some markov-modulated poisson processes, ORSA Journal on Computing, 3(1), 12–22.
STRATONOVICH, R.L. (1963): Topics in the Theory of Random Noise, Gordon and Breach, New York.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Heidelberg
About this paper
Cite this paper
Lombardo, A., Pirrotta, A. (2006). A Non-Homogeneous Poisson Based Model for Daily Rainfall Data. In: Zani, S., Cerioli, A., Riani, M., Vichi, M. (eds) Data Analysis, Classification and the Forward Search. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-35978-8_45
Download citation
DOI: https://doi.org/10.1007/3-540-35978-8_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35977-7
Online ISBN: 978-3-540-35978-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)