require(bbmle) x <- 0:10 y <- c(26, 17, 13, 12, 20, 5, 9, 8, 5, 4, 8) d <- data.frame(x,y) fit <- mle2(y~dpois(lambda=ymax/(1+x/xhalf)), start=list(ymax=25,xhalf=3),data=d) fit2 <- mle2(y~dpois(lambda=(x+1)*slope), start=list(slope=1),data=d) BIC(fit) BIC(fit,fit2)