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 5.000763 
iter   2 value 3.804723
iter   3 value 3.204614
iter   4 value 3.113290
iter   5 value 3.013228
iter   6 value 3.009428
iter   7 value 3.009375
iter   8 value 3.009359
iter   9 value 3.009349
iter  10 value 3.009349
iter  10 value 3.009349
iter  10 value 3.009349
final  value 3.009349 
converged
$shape
[1] 3.592964

$scale
[1] 5.249211

> prefit(x, "gamma", "mle", list(shape=1, scale=1), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 3.592966

$scale
[1] 5.249214

> 
> prefit(x, "gamma", "mle", list(shape=3), fix.arg=list(scale=7/2), lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 0.5402733

> 
> prefit(x, "gamma", "qme", list(shape=1, scale=1), probs=1:2/3, lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 12.2358

$scale
[1] 23.64006

> 
> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="CvM", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 4.164329

$scale
[1] 7.090305

> prefit(x, "gamma", "mge", list(shape=1, scale=1), gof="AD", lower=-Inf, upper=Inf, silent=TRUE)
$shape
[1] 2.536479

$scale
[1] 3.713163

> 
> # (2) geometric
> x <- rgeom(nsample, 1/7)
> prefit(x, "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE)
$prob
[1] 0.1587296

> tbx <- table(x)
> prefit(as.numeric(names(tbx)), "geom", "mle", list(prob=1/2), lower=-Inf, upper=Inf, silent=TRUE, weights=tbx)
$prob
[1] 0.1587296

> prefit(x, "geom", "qme", list(prob=1/2), probs=1/2, lower=-Inf, upper=Inf)
$prob
[1] 0.3452465

> 
> 
> # (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] 21.1905

$scale
[1] 6.395207

> 
> 
> proc.time()
   user  system elapsed 
   1.82    0.34    2.17