pr_lesk <- function(pars,qq,k)
{
logfun <- function(x) pr_lesk_int(x,pars,qq,k);
lesk <- integral_peak(logfun);
return(lesk);
}
pr_estot <- function(pars,qq)
{
th <- pars[1];
ph <- pars[2];
ii <- pars[3];
estot <- th * log((th * ph - (th + ph) * ii * log(1 - qq))/(th * ph - th * ii * log(1 - qq)));
return(estot);
}
pr_lesk_int <- function(x,pars,qq,k)
{
th <- pars[1];
ph <- pars[2];
ii <- pars[3];
y <- rep(0,length(x));
for(cnt in 1:length(x))
{
if(x[cnt] == 0)
{
y[cnt] = -Inf;
} else
{
if(k > 1)
{
y[cnt] <- sum(log(ii * x[cnt] + (1:(k - 1))));
} else
{
y[cnt] <- 0;
}
y[cnt] <- y[cnt] + ii * x[cnt] * log(1 - qq) + log(ii) + log(th);
if(ph^2 * x[cnt]/(th + ph) > 100)
{
y[cnt] <- y[cnt] - th * ph * x[cnt]/(th + ph);
} else
{
y[cnt] <- y[cnt] - ph * x[cnt] + log(expm1(ph^2 * x[cnt]/(th + ph)));
}
}
}
y <- y + k * log(qq) - lgamma(k + 1);
return(y);
}
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