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 <- rztpois(n, 2)
> 
> fitdistrplus:::startarg_discrete_actuar_family(x, "ztpois")
$lambda
[1] 1.342

> fitdist(x, "ztpois")
Fitting of the distribution ' ztpois ' by maximum likelihood 
Parameters:
       estimate Std. Error
lambda 2.036363 0.05049732
> 
> 
> fitdistrplus:::startarg_discrete_actuar_family(x, "ztnbinom")
$size
[1] 4.490779

$prob
[1] 0.769921

> fitdist(x, "ztnbinom")
Fitting of the distribution ' ztnbinom ' by maximum likelihood 
Parameters:
       estimate  Std. Error
size 21.3021080 13.73917267
prob  0.9144173  0.04943426
> 
> 
> fitdistrplus:::startarg_discrete_actuar_family(x, "ztgeom")
$prob
[1] 0.4269855

> fitdist(x, "ztgeom")
Fitting of the distribution ' ztgeom ' by maximum likelihood 
Parameters:
      estimate Std. Error
prob 0.4269855 0.01022101
> 
> library(actuar)
> x <- rztbinom(n, 30, 1/2)
> 
> fitdistrplus:::startarg_discrete_actuar_family(x, "ztbinom")
$size
[1] 28

$prob
[1] 0.5045262

> fitdist(x, "ztbinom", lower=0)
Fitting of the distribution ' ztbinom ' by maximum likelihood 
Parameters:
       estimate
size 28.0000000
prob  0.5307143
> 
> 
> proc.time()
   user  system elapsed 
   1.71    0.34    2.03