| poisson.blaker.limits {BlakerCI} | R Documentation |
Blaker's Poisson confidence limits
Description
Fast and accurate calculation of Blaker's Poisson confidence limits.
Usage
poisson.blaker.limits(x, level = 0.95, tol = 1e-10, ...)
Arguments
x |
number of events. |
level |
confidence level. |
tol |
numerical tolerance. |
... |
additional arguments to be passed to |
Details
Note that the Blaker's (1 - alpha) confidence interval
is the convex hull of the set C of those points
where the acceptability function (Blaker (2000)) exceeds
level alpha.
When C is not connected, the algorithm is, analogously to
binom.blaker.limits (see its details),
immune from leaving out short intervals and making thus
the confidence intervals over-liberal.
Value
Length 2 vector – the lower and upper confidence limits.
Note
Package exactci by M. P. Fay includes another algorithm
that calculates Blaker's Poisson confidence limits
(see user-level function poisson.exact and internal function
exactpoissonCI).
Lecoutre & Poitevineau (2014) designed another algorithm
for the calculation of the Blaker's confidence limits.
It is closely analogous to that of poisson.blaker.limits.
Author(s)
Jan Klaschka klaschka@cs.cas.cz
References
Blaker, H. (2000) Confidence curves and improved exact confidence
intervals for discrete distributions.
Canadian Journal of Statistics 28: 783-798.
(Corrigenda: Canadian Journal of Statistics 29: 681.)
Lecoutre, B. & Poitevineau J. (2014). New results for computing Blaker's exact confidence interval limits for usual one-parameter discrete distributions. Communications in Statistics - Simulation and Computation, http://dx.doi.org/10.1080/03610918.2014.911900.
See Also
exactci:poisson.exact | One of the options yields Blaker's limits. |
Examples
poisson.blaker.limits(3) # [1] 0.8176914 8.5597971