Good afternoon,

I have two years of count data (daily time-series data). My Y variable can be modeled using a ZINB model with "day of the week" and "month" effects (both x variables retained in the logistic and negative binomial part of the model). Now I would like to simulate 100 years of count  data with the same characteristics as the 2 years of observations I have, i.e. I want the predicted value for each day of the year to be set as the mean of the ZINB distribution and to sample that distribution randomly to determine the value for that day for a given year for each of 100 simulated years.

The function rZINBI from the {gamlss.dist} package sounds like what I need:
rZINBI(n, mu, sigma, nu)
I need to provide 3 parameters to the function to draw n random values from the distribution.
mu

vector of positive means

sigma

vector of positive despersion parameter

nu

vector of zero probability parameter


Now, my question is how can I derive mu, sigma and nu from the output of my ZINB model? Is mu the predicted mean count for a particular day-of-week*month combination? Is sigma the overdispersion parameter (theta) from my ZINB model (it appears from model output from example below that it is not)? What is nu?

######################################################
To give a reproducible example, I generate some fake data using rZINBI

#create data
count<- rZINBI(480, mu=300, sigma=10,nu=0.1)
day<-rep(1:5,96)# 5 days in week as week-ends are not included
month<-rep(rep(1:12,each=20),2)#let's assume 20 days in a month
data<-data.frame(count,day,month)

attach(data)
day<-factor(day)
month<-factor(month)

#activate library
library(pscl)

#fit ZINB model to data
f1d<-formula(count~day+month|day+month)
Nb1d<-zeroinfl(f1d,dist="negbin",link="logit")
summary(Nb1d)
######################################################

How can I extract the relevant information from my ZINB model (Nb1d) to feed into the rZINBI function (knowing that I will have to do 12*5 times*100 for each day*month combination for each 100 simulated years)?

Thank you for your suggestions

Dr Flavie Vial
Veterinary Public Health Institute
DCR-VPH, Vetsuisse Fakultät
Schwarzenburgstrasse 155
CH-3003 Bern
Switzerland






	[[alternative HTML version deleted]]

