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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:  0.8.13
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,] 0.2343 0.2314050
 [3,] 0.4133 0.4074074
 [4,] 0.5489 0.5443787
 [5,] 0.6545 0.6530612
 [6,] 0.7401 0.7407407
 [7,] 0.8066 0.8125000
 [8,] 0.8682 0.8719723
 [9,] 0.9194 0.9218107
[10,] 0.9631 0.9639889
[11,] 1.0000 1.0000000
> 
> cbind(ecdf(y)(z), pstpareto(z, 1/2))
        [,1]      [,2]
 [1,] 0.0000 0.0000000
 [2,] 0.1549 0.1588887
 [3,] 0.2971 0.2974773
 [4,] 0.4174 0.4197502
 [5,] 0.5312 0.5286764
 [6,] 0.6314 0.6265199
 [7,] 0.7217 0.7150407
 [8,] 0.7995 0.7956313
 [9,] 0.8692 0.8694090
[10,] 0.9364 0.9372827
[11,] 1.0000 1.0000000
> 
> #mean
> c(mean(x), mstpareto(1, 2))
[1] 0.3332951 0.3333333
> c(mean(y), mstpareto(1, 1/2))
[1] 0.4129868 0.4142136
> 
> #test EC
> cbind(eecf(x)(z), ecstpareto(z, 2))
           [,1]      [,2]
 [1,] 0.0000000 0.0000000
 [2,] 0.2630328 0.2636364
 [3,] 0.4648078 0.4666667
 [4,] 0.6194245 0.6230769
 [5,] 0.7383262 0.7428571
 [6,] 0.8288908 0.8333333
 [7,] 0.8967521 0.9000000
 [8,] 0.9453426 0.9470588
 [9,] 0.9768947 0.9777778
[10,] 0.9945073 0.9947368
[11,] 1.0000000 1.0000000
> 
> cbind(eecf(y)(z), ecstpareto(z, 1/2))
           [,1]      [,2]
 [1,] 0.0000000 0.0000000
 [2,] 0.2228848 0.2217849
 [3,] 0.4096499 0.4077542
 [4,] 0.5650085 0.5623032
 [5,] 0.6921562 0.6889957
 [6,] 0.7930004 0.7907689
 [7,] 0.8710494 0.8700772
 [8,] 0.9287420 0.9289968
 [9,] 0.9685202 0.9693028
[10,] 0.9921899 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 
   2.34    0.34    2.61