R Under development (unstable) (2024-07-10 r86888 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 3.172116 
iter   2 value 2.336088
iter   3 value 0.428722
iter   4 value -0.432135
iter   5 value -0.915556
iter   6 value -1.031657
iter   7 value -1.049364
iter   8 value -1.055356
iter   9 value -1.055953
iter  10 value -1.056808
iter  11 value -1.056810
iter  11 value -1.056810
final  value -1.056810 
converged
$shape
[1] 9.496487

$scale
[1] 13.65474

> prefit(x, "gamma", "mle", list(shape=1, scale=1), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 9.49567

$scale
[1] 13.65337

> 
> prefit(x, "gamma", "mle", list(shape=3), fix.arg=list(scale=7/2), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 0.5662104

> 
> prefit(x, "gamma", "qme", list(shape=1, scale=1), probs=1:2/3, lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 5.593927

$scale
[1] 8.148365

> 
> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="CvM", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 6.761779

$scale
[1] 9.586205

> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="AD", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 7.329232

$scale
[1] 10.41638

> 
> # (2) geometric
> x <- rgeom(nsample, 1/7)
> prefit(x, "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE)
$prob
[1] 0.1694915

> tbx <- table(x)
> prefit(as.numeric(names(tbx)), "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE, weights=tbx)
$prob
[1] 0.1694915

> prefit(x, "geom", "qme", list(prob=1/2), probs=1/2, lower=-Inf, upper=Inf)
$prob
[1] 0.3100255

> 
> 
> # (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] 19.35008

$scale
[1] 6.04737

> 
> 
> proc.time()
   user  system elapsed 
   1.73    0.25    1.96