nb_bps=function(link='log',theta){
if(link=='log') {
linkfun=function(mu) log(mu)
linkinv=function(eta) exp(eta)
mu.eta=function(eta) exp(eta)
gprime=function(mu) 1/mu
}
variance=function(mu,theta) mu+mu^2/theta
initialize=function(y){
if (any(y < 0))
stop("negative values not allowed for the 'quasiPoisson' family")
y+0.1
}
structure(list(family = "nb_bps", link=link,
linkfun = linkfun, linkinv = linkinv, variance = variance,
mu.eta = mu.eta, gprime = gprime,
initialize = initialize), class = "family")
}
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