}
\details{
These three functions compute the probabilities to observe \code{x}
- species starting from a single one after time units \code{t} (assumed
- to be continuous). The first one is a short-cut for the second with
- \code{mu = 0} and with default values for the two other parameters.
+ species starting from a single one after time \code{t} (assumed to be
+ continuous). The first function is a short-cut for the second one with
+ \code{mu = 0} and with default values for the two other arguments.
\code{dbdTime} is for time-varying \code{lambda} and \code{mu}
specified as \R functions.
- Only \code{dyule} is vectorized simultaneously on its three arguments
+ \code{dyule} is vectorized simultaneously on its three arguments
\code{x}, \code{lambda}, and \code{t}, according to \R's rules of
- recycling arguments. The two others are vectorized only on \code{x};
- the other arguments are eventually shortened with a warning if
- necessary.
+ recycling arguments. \code{dbd} is vectorized simultaneously \code{x}
+ and \code{t} (to make likelihood calculations easy), and
+ \code{dbdTime} is vectorized only on \code{x}; the other arguments are
+ eventually shortened with a warning if necessary.
The returned value is, logically, zero for values of \code{x} out of
range, i.e., negative or zero for \code{dyule} or if \code{conditional
= TRUE}. However, it is not checked if the values of \code{x} are
- non-integers and the probabilities are computed and returned.
+ positive non-integers and the probabilities are computed and returned.
The details on the form of the arguments \code{birth}, \code{death},
\code{BIRTH}, \code{DEATH}, and \code{fast} can be found in the links