R Under development (unstable) (2025-06-30 r88369 ucrt) -- "Unsuffered Consequences"
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> require("fitdistrplus")
Loading required package: fitdistrplus
Loading required package: MASS
Loading required package: survival
> nsample <- 10
> 
> # (1) gamma
> x <- rgamma(nsample, 5/2, 7/2)
> 
> prefit(x, "gamma", "mle", list(shape=3, scale=3), lower=-Inf, upper=Inf, silent=TRUE, control=list(trace=1, REPORT=1))
initial  value 5.935969 
iter   2 value 3.677720
iter   3 value 3.013285
iter   4 value 2.775636
iter   5 value 2.690607
iter   6 value 2.688674
iter   7 value 2.688628
iter   8 value 2.688612
iter   9 value 2.688611
iter  10 value 2.688610
iter  10 value 2.688610
iter  10 value 2.688610
final  value 2.688610 
converged
$shape
[1] 2.814599

$scale
[1] 4.656148

> prefit(x, "gamma", "mle", list(shape=1, scale=1), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 2.814574

$scale
[1] 4.656088

> 
> prefit(x, "gamma", "mle", list(shape=3), fix.arg=list(scale=7/2), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 0.5039441

> 
> prefit(x, "gamma", "qme", list(shape=1, scale=1), probs=1:2/3, lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 10.7335

$scale
[1] 18.89425

> 
> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="CvM", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 5.183955

$scale
[1] 8.779391

> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="AD", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 2.879109

$scale
[1] 4.634191

> 
> # (2) geometric
> x <- rgeom(nsample, 1/7)
> prefit(x, "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE)
$prob
[1] 0.1315776

> tbx <- table(x)
> prefit(as.numeric(names(tbx)), "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE, weights=tbx)
$prob
[1] 0.1315776

> prefit(x, "geom", "qme", list(prob=1/2), probs=1/2, lower=-Inf, upper=Inf)
$prob
[1] 0.1679816

> 
> 
> # (3) Pareto
> require("actuar")
Loading required package: actuar

Attaching package: 'actuar'

The following objects are masked from 'package:stats':

    sd, var

The following object is masked from 'package:grDevices':

    cm

> x  <-  rpareto(nsample, 6, 2)
> 
> prefit(x, "pareto", "mme", list(shape=10, scale=10), order=1:2, memp=function(x, order) mean(x^order), lower=-Inf, upper=Inf)
$shape
[1] 52.7725

$scale
[1] 15.6538

> 
> 
> proc.time()
   user  system elapsed 
   1.79    0.34    2.11