CARES NG® provides a number of statistical distributions that can be used in the Food table as an alternative source of residue concentration data to run dietary exposure analyses. The table below contains the list of the available distributions together with the list of the parameters required by each distribution.
| Distribution name | Distribution definition | Parameter list | Parameter symbols |
|---|---|---|---|
| Normal / Gaussian | normal(μ,σ,min,max) | mean standard deviation minimum maximum |
μ σ min max |
| Lognormal | lognormal(μ,σ,min,max) | mean standard deviation minimum maximum |
μ σ min max |
| Triangular | triangular(min,mode,max) | minimum mode maximum |
min mode max |
| Uniform | uniform(min,max) | minimum maximum |
min max |
| Discrete | discrete(x1,x2,x3,…) | list of numbers | x1,x2,x3,… |
| Percentile | percentile([p0,p1,…,p100],[x0,x1,…,x100]) | list of percentiles list of numbers |
p0,p1,…,p100 x0,x1,…,x100 |
| Exponential | exponential(μ) | mean | μ |
| Weibull | weibull(k,λ) | shape scale |
k λ |
| Gamma | gamma(k,λ,min,max) | shape scale minimum maximum |
k λ min max |
| Beta | beta(α,β) | shape 1 shape 2 |
α β |
| Logistic | logistic(μ,λ) | scale mean |
μ λ |
| Binomial | binomial(p,n) | probability of success number of trials |
p n |
| Bernoulli | bernoulli(p) | probability of success | p |
| Poisson | poisson(μ) | mean number of successes | μ |