Nothing
ldd_ejtot <- function(pars,qq)
{
logfun <- function(x) ldd_ejtot_int(x,pars,qq);
lejtot <- integral_peak(logfun);
ejtot <- exp(lejtot);
return(ejtot);
}
ldd_ejtot_int <- function(x,pars,qq)
{
th <- pars[1];
al <- pars[2];
ii <- pars[3];
y <- rep(0,length(x));
for(cnt in 1:length(x))
{
if(ii * x[cnt] > al)
{
y[cnt] <- log(th) - th * x[cnt] + log(ii) + log(ii * x[cnt] - al) - log(ii * x[cnt] - (1 - qq)^(ii * x[cnt] - al) * al);
} else
{
y[cnt] <- log(th) - th * x[cnt] + log(ii) + (al - ii*x[cnt]) * log(1 - qq) + log(al - ii * x[cnt]) - log(al - (1 - qq)^(-ii * x[cnt] + al) * ii * x[cnt]);
}
}
y <- y + log(qq) - log(1 - qq);
return(y);
}
ldd_lesk <- function(pars,qq,k)
{
logfun <- function(x) ldd_lesk_int(x,pars,qq,k);
lesk <- integral_peak(logfun);
return(lesk);
}
ldd_estot <- function(pars,qq)
{
logfun <- function(x) ldd_lestot_int(x,pars,qq);
lestot <- integral_peak(logfun);
estot <- exp(lestot);
return(estot);
}
ldd_lesk_int <- function(x,pars,qq,k)
{
th <- pars[1];
al <- pars[2];
ii <- pars[3];
y <- rep(0,length(x));
for(cnt in 1:length(x))
{
if(ii * x[cnt] > al)
{
y[cnt] = log(th) - th*x[cnt] + log(ii) + sum(log(ii * x[cnt]-al + (0:(k - 1)))) - (-ii * x[cnt] + al) * log(1 - qq) - log(ii * x[cnt] - (1 - qq)^(ii * x[cnt] - al) * al);
} else
{
if(k > 1)
{
y[cnt] <- sum(log(ii * x[cnt] - al + (1:(k - 1))));
} else
{
y[cnt] <- 0;
}
y[cnt] <- y[cnt] + log(th) - th * x[cnt] + log(ii) + log(al - ii * x[cnt]) - log(al - (1 - qq)^(-ii * x[cnt] + al) * ii * x[cnt]);
}
}
y <- y + k * log(qq) - lgamma(k + 1);
return(y);
}
ldd_lestot_int <- function(x,pars,qq)
{
th <- pars[1];
al <- pars[2];
ii <- pars[3];
y <- rep(0,length(x));
for(cnt in 1:length(x))
{
if(ii * x[cnt] > al)
{
y[cnt] <- log(th) - th * x[cnt] + log(ii) + log(1 - (1 - qq)^(ii * x[cnt] - al)) - log(ii * x[cnt] - (1 - qq)^(ii * x[cnt] - al) * al);
} else
{
y[cnt] <- log(th) - th * x[cnt] + log(ii) + log(1 - (1 - qq)^(-ii * x[cnt] + al)) - log(al - (1 - qq)^(-ii * x[cnt] + al) * ii * x[cnt]);
}
}
return(y);
}
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