En réponse à@hugo_chen_186
Let's forget what we have already invested in this idea; a Kolmogorov-Smirnov test is just a tool, not an irrefutable proof of the correctness of an interpretation.
The KS test compares distributions, but its relevance is entirely subordinate to the quality and representativeness of the input data.
If data are biased or artificially constrained, for example, by capital controls or import quotas in India, then the detected statistical similarity is misleading.
For example, a KS test on the Indian gold market could show a distribution similar to a reference, but it would not account for import taxes that artificially distort supply and demand.
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