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I need five pages written in latex on multidimensional K-S testing

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I need five pages written in latex on multidimensional K-S testing. Results and analysis can be included in this. I have a python code that I can send along that you guys can use.

I have a data set and to begin with I draw samples with replacement and do a normal K-S test to see if the samples I drew come from the same distribution

 

The K-S test is on one feature however - I'm working on a K-S testing where the data set consists of three variables and I am to draw from all three and compare these to each other to see if the distribution is the same.

 

This is called multidimensional K-S testing. I can include links to a couple of papers that are written about this.

 

I have written a code that does this test but if you guys could also verify the code - whether it works as intended, then good. If it does not work, can you fix the code.

 

this is work for a master's thesis in statistics and machine learning.

 

Analysis and result included in the five pages writing.

The first file has real life data. The second file has simulated data. The K-S testing should be done on the same simulations dataset since they are very different but in the end for the analysis you can do the test on both data sets and compare how well it did and such things.

The main focus of the thesis is the simulated data since that's what we have more access to but the real data is important too.

So the priority should be the simulated data but since the file outputs are identical, doing the test on the real data should be only a matter of changing variable names.