R Under development (unstable) (2025-01-06 r87534 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 13.106992 
iter   2 value 10.104898
iter   3 value 8.147437
iter   4 value 6.974863
iter   5 value 6.729522
iter   6 value 6.709932
iter   7 value 6.709660
iter   8 value 6.709605
iter   9 value 6.709592
iter   9 value 6.709592
iter   9 value 6.709592
final  value 6.709592 
converged
$shape
[1] 1.047344

$scale
[1] 1.454442

> prefit(x, "gamma", "mle", list(shape=1, scale=1), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 1.04733

$scale
[1] 1.454416

> 
> prefit(x, "gamma", "mle", list(shape=3), fix.arg=list(scale=7/2), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 0.4682346

> 
> prefit(x, "gamma", "qme", list(shape=1, scale=1), probs=1:2/3, lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 1.9974

$scale
[1] 2.976664

> 
> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="CvM", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 0.9200302

$scale
[1] 1.15838

> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="AD", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 0.8905163

$scale
[1] 1.13324

> 
> # (2) geometric
> x <- rgeom(nsample, 1/7)
> prefit(x, "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE)
$prob
[1] 0.1492529

> tbx <- table(x)
> prefit(as.numeric(names(tbx)), "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE, weights=tbx)
$prob
[1] 0.1492529

> prefit(x, "geom", "qme", list(prob=1/2), probs=1/2, lower=-Inf, upper=Inf)
$prob
[1] 0.2460113

> 
> 
> # (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] 124.0936

$scale
[1] 24.65306

> 
> 
> proc.time()
   user  system elapsed 
   1.15    0.12    1.28