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Inference from the arc length of statistical functions: a goodness-of-fit test on the arc length of the probability plot, distributions built from the arc length of their defining curve, the characteristic-function version, the equivalence family, and a Bayesian test.
Computation runs on a shared pure-C back-end that is also bound from Python, and the two front ends are checked against each other value by value.
# install.packages("remotes")
remotes::install_github("mtloots/arcstat", subdir = "arcstat")library(arcstat)
set.seed(1)
al_test(runif(200))$p.value
#> [1] 0.3974529
## two closed forms that anchor the construction
c(normal = cf_arclength_family("normal"),
exponential = cf_arclength_family("exponential", lambda = 1))
#> normal exponential
#> 2.000000 3.141593These binaries (installable software) and packages are in development.
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