From: Zhichao Luo on
Dear all,

I have a variable with weibull distribution, however I can only get
this variable's frequency distribution, followed is the sample data. I
want to ask:

1. how to estimate the weibull distribution parameter with such data
information?
2. if I want to use Maximum likelihood Estimation method, how to do
it?

Thanks a lot for your kind help!

Example data

range frequency(%)

<100 0.31
100-200 0.2
200-300 0.43
300-400 0.69
400-500 1.01
500-600 1.37
600-800 4.44
800-1000 5.72
1000-1200 6.75
1200-1300 3.75
1300-1500 7.42
1500-1700 7.48
1700-2000 10.45
2000-2500 14.54
2500-3000 10.29
3000-3500 7.11
3500-4000 4.76
4000-4500 3.44
4500-5000 2.4
>5000 7.45