#' Function to compute stationary distribution of HMM
#'
#' density of dirichlet
#' @param x, alpha, log=False
#' @keywords dirichlet
#' @export
#' @examples dDirichlet(c(.1, .9), c(0.1,0.1))
aMAXtheory<-function( K , Amin=0.0000001){
p=1;d=1
r1<-((K-1)*(K-2+d)+Amin*K)*((K-1)*(d+K-2)+(d/2))
r2<- r1/((d/2)-Amin*(K^2-3*K+4))
return((r2-(K-p)*Amin)/p)
}
# aMAXtheory<-function(amin, K, ref=c("Rousseau", "Gassiat")){
# if(ref=="Gassiat"){ simonSays<-K*((K-1)-1+1)-(K-1)*amin+0.01}
# if(ref=="Rousseau"){ simonSays<-(K-1)*(1+K-2+amin)*(1+(1/(.5-amin*(K-1)) ))-amin*(K-1)+0.01}
# return(simonSays)
# }
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