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actually montecarlo is based on random selection (of cours randamness is expected to be random means to cover tjhe whole interval so the more the better )along the CDF(cumilative distribution function ) to extract the input that expected to keep the original distribution to some degree.

in latin hypercube this extraction of input has been made uniform along the CDF so we can ensure the recreation of the original distribution in the extracted sample of inputs.

hypercube is enhancement of montecarlo sampling . and it is much better in low density sampling means low number of iteration . high number of iterartion both methodes are good they tend to be the same .

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Q: What is the difference between the Monte Carlo method and Latin Hypercube Sampling?
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