and i mean to classify our rainfall

the main purpose is that

You can apply t test for testing the significance of difference between simulated rainfall and and original rainfall if the data on amount of rainfall are available. On the other hand, if the available data correspond to frequencies of rainfall then you are to apply chi-square test for testing the significance of difference between the frequencies of simulated rainfall and the corresponding frequencies of original rainfall. If insignificance is found from the test then the simulated rainfall can be regarded as the same with the original rainfall.

Dear Jalal,

The validation of the marginal distributions is important as Dr. Chakrabarty suggested, and perhaps you could also try direct comparison of the cumulative PDFs. If you are interested in something simpler you can find some ideas in the following review paper:

Article Validation practices for satellite-based Earth observation d...

Even though it comes from a different scientific field it provides some usefull information about dataset comparison/validation.

Cheers,

Yannis

Dear Jalal,

Prof. Yannis Markonis has mentioned a good suggestion. Accordingly I suggest you the following steps:

First, you apply the test as mentioned by me.

Next, try direct comparison of the cumulative PDFs.

Then observe whether the findings in the earlier tally with that of later.

This will make you more confident on the findings.

Dhritikesh Chakrabarty

Dear Jalal,

Thank you for your recommendation of my answer.

Dhritikesh Chakrabarty