R Under development (unstable) (2024-07-10 r86888 ucrt) -- "Unsuffered Consequences"
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> library(fitdistrplus)
Loading required package: MASS
Loading required package: survival
> library(actuar)

Attaching package: 'actuar'

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

    sd, var

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

    cm

> 
> set.seed(1234)
> 
> n <- 1e3
> x <- rinvtrgamma(n, 2, 2, scale=2)
> 
> fitdistrplus:::startarg_invtransgamma_family(x, "invtrgamma")
$shape1
[1] 7.953247

$shape2
[1] 1.002587

$scale
[1] 0.08437106

> 
> fitdistrplus:::startarg_invtransgamma_family(x, "invgamma")
$shape
[1] 6.337193

$scale
[1] 9.270968

> 
> fitdistrplus:::startarg_invtransgamma_family(x, "invweibull")
$shape
[1] 1.343112

$scale
[1] 3.017919

> 
> fitdistrplus:::startarg_invtransgamma_family(x, "invexp")
$rate
[1] 1.49026

> 
> fitdist(x, "invtrgamma")
Fitting of the distribution ' invtrgamma ' by maximum likelihood 
Parameters:
       estimate Std. Error
shape1 2.159634  0.4936253
shape2 1.966441  0.2537561
scale  2.081728  0.3756215
> fitdist(x, "invgamma")
Fitting of the distribution ' invgamma ' by maximum likelihood 
Parameters:
      estimate Std. Error
shape  7.37055  0.3224364
scale 10.98425  0.4972652
> fitdist(x, "invweibull")
Fitting of the distribution ' invweibull ' by maximum likelihood 
Parameters:
      estimate Std. Error
shape 3.038200 0.07291360
scale 1.331348 0.01463207
> fitdist(x, "invexp")
Fitting of the distribution ' invexp ' by maximum likelihood 
Parameters:
      estimate Std. Error
rate 0.6710249 0.02121956
> 
> 
> proc.time()
   user  system elapsed 
   1.79    0.42    2.20