Probability of acceptance estimation when diluted samples are collected from a heterogeneous batch.

prob_acceptance_heterogeneous_multiple provides a probability of acceptance in the original sample when samples collected from a heterogeneous batch.

prob_acceptance_heterogeneous_multiple (c, mu, sd, a, b, f, u, USL, n, n_sim)

Arguments

c

acceptance number

mu

the mean concentration (on the log scale).

sd

the standard deviation of the normal distribution (on the log scale).

a

lower domain of the number of cell counts.

b

upper domain of the number of cell counts.

f

final dilution factor.

u

amount put on the plate.

USL

upper specification limit.

n

number of samples which are used for inspection.

n_sim

number of simulations (large simulations provide more precise estimations).

Value

Probability of acceptance when samples collected from a heterogeneous batch.

Details

prob_acceptance_heterogeneous_multiple provides a probability of acceptance when diluted samples are collected from a heterogeneous batch (this section will be updated later on).

Examples

c <- 2
mu <- 7
sd <- 0.2
a <- 0
b <- 300
f <- c(0.01,0.1,1)
u <- c(0.1,0.1,0.1)
USL <- 1000
n <- 5
n_sim <- 50000
prob_acceptance_heterogeneous_multiple (c, mu, sd, a, b, f, u, USL, n, n_sim)
#>           [,1]      [,2]      [,3]
#> [1,] 0.5794893 0.4465291 0.228838