1 - C(n-c, k)/C(n, k), computed as an overflow-free running product.
Usage
morie_kamath_ch8_pass_at_k(n, c, k)
morie_kamath_pass_at_k(n, c, k)
Arguments
- n
Samples drawn.
- c
Correct samples.
- k
Budget.
Value
List with estimate, fail_probability.
Details
The Python shelf carries two modules with this arithmetic:
km128 -> morie_kamath_ch8_pass_at_k (reports fail_probability),
kmpask -> morie_kamath_pass_at_k (reports empirical_rate). Both are
exported so their payloads stay distinguishable.
Examples
morie_kamath_ch8_pass_at_k(10, 3, 2)
#> $estimate
#> [1] 0.5333333
#>
#> $fail_probability
#> [1] 0.4666667
#>
#> $n_samples
#> [1] 10
#>
#> $n_correct
#> [1] 3
#>
#> $k
#> [1] 2
#>
#> $n
#> [1] 10
#>
#> $method
#> [1] "unbiased pass@k (Kamath Eq 8.16)"
#>
