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  4. Unbiased parameter estimation of the Neyman-Scott model for rainfall simulation with related confidence interval
 
research article

Unbiased parameter estimation of the Neyman-Scott model for rainfall simulation with related confidence interval

Favre, A. C.  
•
Musy, A.  
•
Morgenthaler, S.  
2004
Journal of Hydrology

The Neyman-Scott rectangular pulses model is a clustered point process in time. This article presents a new method of parameters estimation for this model applied to rainfall simulation. It is based on a modified method of moments using two temporal scales of aggregation. A simple algebraic computation leads to reduce the number of parameters estimated by minimisation. Indeed two parameters are obtained by minimisation while the three others can be directly computed. The optimisation method used is based on the Nelder-Mead simplex. The minimisation procedure is stable with regard to the starting point and always converges. The related approximate confidence interval is obtained using the delta method and block bootstrap techniques. The validation is carried out using the rainfall station of Payerne situated on the Swiss Plateau. 100series of 10 years of hourly rainfall have been generated for both a summer and a winter month. From the obtained simulated series 100 sets of parameters have been determined. These parameters estimators are unbiased.

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Type
research article
DOI
10.1016/j.jhydrol.2003.09.025
Web of Science ID

WOS:000188887100011

Author(s)
Favre, A. C.  
Musy, A.  
Morgenthaler, S.  
Date Issued

2004

Published in
Journal of Hydrology
Volume

286

Issue

1-4

Start page

168

End page

178

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
HYDRAM  
STAP  
Available on Infoscience
October 11, 2005
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/217565
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