rcrv: Reduced centered random variable

Description Usage Arguments Value Author(s) References Examples

Description

The RCRV provides information on the reliability of an ensemble system in terms of the bias and the dispersion. A perfectly reliable system as no bias and a dispersion equal to 1. The observational error is taken into account

Usage

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      rcrv(obs,epsMean,epsVariance,obsError)
       

Arguments

obs

A vector of observations

epsMean

A vector of the means of the ensemble

epsVariance

A vector of the variances of the ensemble

obsError

Observational error

Value

bias

The weighted bias between the ensemble and the observation. A value equal to 0 indicates no bias. A positive (negative) value indicates a positive (negative) bias

disp

The dispersion of the ensemble. A value equal to 1 indicates no dispersion. A value greater (smaller) then 1 indicates underdispersion (overdispersion)

y

Vector of y. Mean of y equals bias and standard deviation of y equals dispersion

obsError

Observational error (passed to function)

Author(s)

Ronald Frenette <Ronald.Frenette@ec.gc.ca>

References

G. Candille, C. P. L. Houtekamer, and G. Pellerin: Verification of an Ensemble Prediction System against Observations, Monthly Weather Review,135, pp. 2688-2699

Examples

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data(precip.ensemble) 
#Observations are in the column
obs<-precip.ensemble[,3] 

#Forecast values of ensemble are in the column 4 to 54
eps<-precip.ensemble[,4:54]   

#Means and variances of the ensemble
mean<-apply(eps,1,mean)
var<-apply(eps,1,var)

#observation error of 0.5mm 
sig0 <- 0.5 

rcrv(obs,mean,var,sig0)

verification documentation built on May 2, 2019, 1:24 a.m.