LBI (version 0.2.2)

LIpois: 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)

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

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.

Author

Kyun-Seop Bae [e-mail]

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.

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