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> library(mbbefd)
Loading required package: fitdistrplus
Loading required package: MASS
Loading required package: survival
Loading required package: alabama
Loading required package: numDeriv
Loading required package: Rcpp
Package:  mbbefd
Version:  0.8.12
Date:     
BugReport: https://github.com/spedygiorgio/mbbefd/issues


> 
> #test of shifted truncated pareto distribution
> n <- 1e4
> 
> x <- rstpareto(n, 2)
> y <- rstpareto(n, 1/2)
> 
> #test CDF
> z <- 0:10/10
> cbind(ecdf(x)(z), pstpareto(z, 2))
        [,1]      [,2]
 [1,] 0.0000 0.0000000
 [2,] 0.2346 0.2314050
 [3,] 0.4072 0.4074074
 [4,] 0.5432 0.5443787
 [5,] 0.6527 0.6530612
 [6,] 0.7458 0.7407407
 [7,] 0.8134 0.8125000
 [8,] 0.8715 0.8719723
 [9,] 0.9234 0.9218107
[10,] 0.9640 0.9639889
[11,] 1.0000 1.0000000
> 
> cbind(ecdf(y)(z), pstpareto(z, 1/2))
        [,1]      [,2]
 [1,] 0.0000 0.0000000
 [2,] 0.1563 0.1588887
 [3,] 0.2929 0.2974773
 [4,] 0.4207 0.4197502
 [5,] 0.5321 0.5286764
 [6,] 0.6239 0.6265199
 [7,] 0.7120 0.7150407
 [8,] 0.7962 0.7956313
 [9,] 0.8696 0.8694090
[10,] 0.9380 0.9372827
[11,] 1.0000 1.0000000
> 
> #mean
> c(mean(x), mstpareto(1, 2))
[1] 0.3325579 0.3333333
> c(mean(y), mstpareto(1, 1/2))
[1] 0.4148215 0.4142136
> 
> #test EC
> cbind(eecf(x)(z), ecstpareto(z, 2))
           [,1]      [,2]
 [1,] 0.0000000 0.0000000
 [2,] 0.2642134 0.2636364
 [3,] 0.4678089 0.4666667
 [4,] 0.6248555 0.6230769
 [5,] 0.7448702 0.7428571
 [6,] 0.8348593 0.8333333
 [7,] 0.9005800 0.9000000
 [8,] 0.9478743 0.9470588
 [9,] 0.9783595 0.9777778
[10,] 0.9950416 0.9947368
[11,] 1.0000000 1.0000000
> 
> cbind(eecf(y)(z), ecstpareto(z, 1/2))
           [,1]      [,2]
 [1,] 0.0000000 0.0000000
 [2,] 0.2219923 0.2217849
 [3,] 0.4089794 0.4077542
 [4,] 0.5633712 0.5623032
 [5,] 0.6889825 0.6889957
 [6,] 0.7904542 0.7907689
 [7,] 0.8700344 0.8700772
 [8,] 0.9292952 0.9289968
 [9,] 0.9695191 0.9693028
[10,] 0.9928105 0.9925264
[11,] 1.0000000 1.0000000
> 
> 
> plot(eecf(x))
> v <- seq(0, 1, length=101)
> lines(v, ecstpareto(v, 2), lty=3, col="red")
> 
> 
> plot(eecf(y))
> v <- seq(0, 1, length=101)
> lines(v, ecstpareto(v, 1/2), lty=3, col="red")
> 
> 
> proc.time()
   user  system elapsed 
   1.59    0.17    1.75