Generate a random variable with Pareto(a, b) distribution with PDF given by f(x) = (aba)/(xa+1)

Generate a random variable with Pareto(a, b) distribution with PDF given by f(x) = (ab^a)/(x^a+1)

Solutions

Expert Solution

By using R code

n=100
a=2
b=3
x={}
for(i in 1:n)
{ u=runif (1)
x[i]=b/(1-u)^(1/a)
}
x #100 random numbers

[1]  4.438007  4.109028  4.087269  3.073480  4.028701  3.019166  4.406113
  [8]  3.843584  3.463991  3.076578 14.059280  3.862273  5.081540  3.739576
 [15]  3.891572  3.623041  5.370899  3.261677  4.026012 29.844569  5.517689
 [22]  7.897716  5.642491  7.050867  3.060313  9.431027  4.152227  5.181548
 [29]  3.315387  3.722130 15.705937  3.230649  3.545882  6.126841  4.023591
 [36]  3.064140  3.883466  4.725636  3.098183  4.208045  3.385089  9.631301
 [43]  9.066154  4.097367  7.428448  4.195657  3.768385 35.018389  4.112516
 [50]  6.099770  3.016190  3.245830  3.928198  4.295770  4.433111  3.872509
 [57]  3.842630  7.775654  3.078793 10.185651  3.220501 28.174114  3.603175
 [64]  6.925029  5.342879  3.218503 18.927356  5.010576  3.086248  7.418161
 [71]  4.734602  4.019675  9.244882  3.455527  4.104277 13.259686  5.184171
 [78] 21.918495  3.196370  3.219295  4.097550  3.939188  3.164819  3.427731
 [85]  3.766181  3.588791  3.517475  5.696494  3.035002  4.916829  3.172269
 [92]  7.045089  3.339530  4.564480  6.498619  3.070068  3.186289  3.182966
 [99]  9.297420  3.887957

orchestra answered 1 year ago

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