000055310 001__ 55310
000055310 005__ 20180317092730.0
000055310 0247_ $$2doi$$a10.1016/j.jhydrol.2003.09.025
000055310 02470 $$2DAR$$a4842
000055310 02470 $$2ISI$$a000188887100011
000055310 037__ $$aARTICLE
000055310 245__ $$aUnbiased parameter estimation of the Neyman-Scott model for rainfall simulation with related confidence interval
000055310 269__ $$a2004
000055310 260__ $$c2004
000055310 336__ $$aJournal Articles
000055310 520__ $$aThe 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.
000055310 700__ $$0241607$$aFavre, A. C.$$g101340
000055310 700__ $$0241373$$aMusy, A.$$g105948
000055310 700__ $$0241889$$aMorgenthaler, S.$$g105911
000055310 773__ $$j286$$k1-4$$q168–178$$tJournal of Hydrology
000055310 909CO $$ooai:infoscience.tind.io:55310$$pSB$$particle
000055310 909C0 $$0252387$$pHYDRAM
000055310 909C0 $$0252209$$pSTAP$$xU10127
000055310 917Z8 $$x148230
000055310 937__ $$aHYDRAM-ARTICLE-2004-001
000055310 970__ $$a478/HYDRAM
000055310 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000055310 980__ $$aARTICLE