arl {IAcsSPCR}

ARL for Lucas's Cusum Chart for Attribute Data

Description

Calculates ARL for Lucas's Cusum Chart for Attribute Data

Usage

arl(h=2,k=2,lambda=1,shift=.5)

Arguments

h

input - this is the decision limit. It should be an even number, so that h/2 for the FIR feature will also be an integer.

k

input - this is the reference value. It should be calculated as (mu_d-mu_a)/ln(mu_d-mu_a), where mu_a is the in-control Poisson mean and mu_d mean to detect. k should be rounded to an integer.

lambda

input - this is the in-control Poisson mean.

shift

input - this is the number of standard deviation shift from the in-control mean to the mean to detect , i.e., lambda+shift*sqrt(lambda)=mu_d.

Value

returned list containing the ARL and the ARL with FIR.

Author(s)

John Lawson

References

Lucas, J.M.(1985) "Counted data cusums", Technometrics, Vol. 27, No. 2, pp129-143.

Examples

library(IAcsSPCR)
arl(h=6,k=2,lambda=1.88,shift=0)
arl(h=6,k=2,lambda=1.88,shift=.9627)
{
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