thresh: Bound for the accept-reject algorithm in Chapter 5
Description
This function is used in ardipper to determine the bound for
the accept-reject algorithm simulating the non-standard conditional distribution
of $r_1$.
Usage
thresh(k, n1, c2, c3, r2, q1)
Arguments
k
current proposal for the number of individuals vanishing
between the first and second experiments
n1
first capture population size
c2
number of individuals recaptured during the second experiment
c3
number of individuals recaptured during the third experiment
r2
number of individuals vanishing
between the second and third experiments
q1
probability of disappearing from the population
Value
numerical value of the upper bound, to be compared with the uniform random draw
Details
This upper bound is equal to
$$\frac{{n_1-c_2 \choose k} {n_1-k \choose c_3+r_2}}{{\bar r\choose k}}$$