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Re:The Central Limit Theorem and Its Misuse by paulddraper on Monday December 30, 2019 @03:37PM (#21916478)
> Convergence takes infinite time when the sampling variable has infinite variance

When does that really even happen in practice though?

> most distributions being modeled are not

That a rather assertive statement. I dare say most distributions are (due to CLT) Gaussian.

Re:The Central Limit Theorem and Its Misuse by srean on Monday January 13, 2020 @11:30AM (#22035828)
> That a rather assertive statement. I dare say most distributions are (due to CLT) Gaussian.

I have been doing stats/ML/data-science for more than a decade. The above has rarely been true ever in the datasets that I have looked at. Unless of course the raw data has been transformed in ways to make them look Gaussian. Gaussian is the exception, not the rule.

Re:The Central Limit Theorem and Its Misuse by clircle on Monday December 30, 2019 @03:51PM (#21916604)
Distributions are only assumed. There is no such thing as truly normal data or sampling distribution.
Re:The Central Limit Theorem and Its Misuse by paulddraper on Monday December 30, 2019 @05:20PM (#21917174)
Sure, though that's a bit like saying there aren't any perfect squares only things you assume are squares.
Re:The Central Limit Theorem and Its Misuse by clircle on Tuesday December 31, 2019 @02:53PM (#21924151)
There is a difference. Distributions are tested in practice, for example, by using a goodness-of-fit test. Often if the hypothesis of normality is not rejected, people think this implies normality.