| WpoisCI {ExactCIone} | R Documentation |
An Admissible Exact Confidence Interval for the Poisson Mean
Description
An admissible exact confidence interval for the Poisson mean. This function can be used to calculate the interval constructed method proposed by Wang (2014).
Usage
WpoisCI(x, conf.level = 0.95, details = FALSE)
Arguments
x |
the sample or the observed point. |
conf.level |
confidence level. The default is 0.95. |
details |
TRUE/FALSE, can be abbreviated. To choose whether to compute the confidence intervals for all the sample points. Default is FALSE. |
Details
Suppose X~poi(lambda), the sample space of X is {0,1,...}. Wang (2014) proposed an admissible interval which is obtained by uniformly shrinking the initial 1-alpha Clopper-Pearson interval from 0 to the sample point of interest. This interval is admissible so that any proper sub-interval of it cannot assure the confidence coefficient. This means the interval cannot be shortened anymore.
Value
a list which contain the confidence interval and the ICP.
References
Wang, W. (2014). An iterative construction of confidence intervals for a proportion. "Statistica Sinica" 24: 1389-1410.
Examples
WpoisCI(1)
WpoisCI(3,details = TRUE)