LIpois: Likelihood Interval of the Mean assuming Poisson Distribution

In LBI: Likelihood Based Inference

Likelihood Interval of the Mean assuming Poisson Distribution

Description

Likelihood interval of lambda assuming Poisson distribution.

Usage

  LIpois(x, k, n = 1, conf.level = 0.95, eps = 1e-8)

Arguments

x	raw data vector or a mean value. If the length of x is 1, x is considered as a mean.
k	1/k likelihood interval will be calculated.
n	number of observations. If the length of x is 1, x is considered as the mean.
conf.level	approximately corresponding confidence level. If k is specified, this is ignored.
eps	estimated values less than this eps are considered as 0.

Details

It calculates likelihood interval of mean(lambda) assuming Poisson distribution. The likelihood interval is asymmetric and there is no standard error in the output.

Value

PE	maximum likelihood estimate on the lambda
LL	lower limit of likelihood interval
UL	upper limit of likelihood interval
n	number of observations
k	1/k likelihood interval provided
logk	log(k) of k value
maxLL without factorial	maximum log likelihood without factorial part

Author(s)

Kyun-Seop Bae [e-mail]

Examples

  LIpois(4, k=15)     # Fisher
  LIpois(4, k=exp(2)) # Edwards
  LIpois(4, k=1/0.15) # Pawitan
  LIpois(4, k=8)      # Rhode
  LIpois(4, n=4)      # Bae
  LIpois(4)           # Bae
#  poisson.test(4)
  LIpois(4, k=32)     # 0.7454614 11.7893612
  LIpois(2.1, n=60)   # 1.750222   2.493533

LBI documentation built on Aug. 21, 2025, 5:53 p.m.