Generate a univariate uniform distributionEdit
- The function -runiform()- returns uniformly distributed pseudorandom numbers on the interval [0,1)
. set obs 10 obs was 0, now 10 . gen x = runiform()
You have built-in random number generation methods for the main distributions. The keyword is rnd. The list of all available distributions is given in the following help file: -h rnd-
The Inverse CDF methodEdit
- The basic function for generating random numbers is uniform(). Therefore you generally have to use the inverse CDF method to sample from other distributions.
We can draw from a uniform distribution :
. clear . set obs 500 obs was 0, now 500 . gen unif=runiform() . hist unif (bin=22, start=.0043096, width=.04522361)
We can draw from a normal distribution :
. gen norm=invnorm(runiform()) . hist norm (bin=22, start=-2.8517358, width=.23821211)
We can draw from a distribution
. gen chi2=invchi2(1,uniform()) . hist chi2 (bin=22, start=.00002381, width=.50381869) . gen chi210=invchi2(10,uniform()) . hist chi210 (bin=22, start=1.8273849, width=1.3336678)
We can draw from a Fisher Snedecor distribution
. gen fisher=invF(10,10,uniform()) . hist fisher (bin=22, start=.14025442, width=.39209784)
We can draw from a Student distribution. Remember that invttail() is not the inverse of the CDF (cumulative distribution function) but the inverse of the survival function (1 - the CDF).
. gen student=1-invttail(10,uniform()) . hist student (bin=22, start=-3.9568543, width=.4741968)
Multivariate Normal DistributionsEdit
drawnorm draws directly from a multivariate normal distribution.