Create random numbers with a lognormal distribution and verify the PDF
Generate random numbers with a lognormal distribution. The mean, standard deviation and the amount of generated number can be changed in the main function of the source code. It is also easy to change the function of distribution from lognormal to whatever.
Here is an example of how to compile the code and execute it (values might be different):
gcc -o lognormal_random lognormal_random.c -lm
./lognormal_random | head
1.750844
2.255604
0.159421
0.940138
0.220863
0.337000
0.428063
1.114155
0.727670
0.439926
take a file with one column of number (typically a file generated by lognormal_random) and sort them in classes. The number of class can be changed inside the code. In the example below, 1,000,000 random numbers have been generated and sorted in 100 classes.
./lognormal_random > random_values
./histogram.sh random_values | head
0.052193 469
0.156355 3173
0.260517 6518
0.364680 9024
0.468842 9775
0.573004 9418
0.677166 8808
0.781328 7849
0.885490 6657
0.989653 5938
./lognormal_random | ./histogram.sh would have given the same result. We can check the resolution with gnuplot for example:
gnuplot -p -e 'plot "< ./lognormal_random | ./histogram.sh" with boxes notitle'
