WpoisCI: An Admissible Exact Confidence Interval for the Poisson Mean

In ExactCIone: Admissible Exact Intervals for One-Dimensional Discrete Distributions

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)

ExactCIone documentation built on May 29, 2024, 5:42 a.m.