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gammaproposal<-function(y, x, z, betas.ini,gammas.ini,gpri,Gpri,model,m,ni) {
if (model=="NB1"){
Etas_1 = x%*%betas.ini
Mu = exp(Etas_1)
Etas_2N = z%*%gammas.ini
Alpha_N = exp(Etas_2N)
Ym2_N = Etas_2N+y/Mu-1
SIGMA2_N=diag(as.vector((Mu+Alpha_N)/(Alpha_N*Mu)))
} else if (model=="NB2") {
Etas_1 = x%*%betas.ini
Mu = exp(Etas_1)
Etas_2N = z%*%gammas.ini
sigma2 = exp(Etas_2N)
Ym2_N = Etas_2N+y/Mu-1
SIGMA2_N=diag(as.vector(sigma2/Mu^2))
} else {
Etas_1 = x%*%betas.ini
Etas_2N = z%*%gammas.ini
Mu=inv.logit(Etas_1)
phi=exp(Etas_2N)
if (is.null(m)){
m=length(y)
}
if (is.null(ni)){
nro <- length(y)
ni <- rep(m,nro)
}
Ym2_N = Etas_2N+(y/(Mu*ni))-1
Q2=as.vector(((phi+ni)/(phi+1))*((1-Mu)/(ni+Mu)))
SIGMA2_N=diag(Q2)
}
Gpos <-qr.solve(qr.solve(Gpri,tol = 1e-100)+ t(z)%*%solve(SIGMA2_N,tol = 1e-100)%*%z,tol = 1e-100)
Gpos <- as.matrix(forceSymmetric(as.matrix(Gpos)))
gpos <-Gpos%*%(qr.solve(Gpri,tol = 1e-100)%*%gpri + t(z)%*%solve(SIGMA2_N,tol = 1e-100)%*%Ym2_N)
gammas.pro <- rmvnorm(1,gpos,Gpos)
gammas.pro
}
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