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Re:Resident Physicians' Exam Scores Tied to Patient Survival by thaumasiotes on Saturday March 01, 2025 @02:33PM (#43222792)
> (So basically a bell curve with very thin tails.)

Is this a concept that exists? I thought "thin tailed" and "fat tailed" were defined by contrast to a normal distribution.

Re:Resident Physicians' Exam Scores Tied to Patient Survival by Ma8ee on Saturday March 01, 2025 @02:38PM (#43222841)
I don't think that "Bell curve" should be interpreted strictly as a Gaussian in this context, but more literally as a curve with a shape resembling a bell.
Re:Resident Physicians' Exam Scores Tied to Patient Survival by Unlisted6446 on Saturday March 01, 2025 @03:45PM (#43223505)
I'm pretty sure, yes? Cauchy distribution and student-t have fatter tails than a standard normal distribution.
Re:Resident Physicians' Exam Scores Tied to Patient Survival by rscho on Saturday March 01, 2025 @03:29PM (#43223342)
From a doc, it was just a figure of speech. Most docs have no idea what a statistical distribution is.
Re:Resident Physicians' Exam Scores Tied to Patient Survival by hydrogen7800 on Sunday March 02, 2025 @07:28AM (#43229784)
Kurtosis[0] is a term I came across when dealing with random vibration analysis, but I understand very little if it. The idea of "moments"[1] of various orders to describe a shape of distribution is interesting in general. It sounds analogous to Fourier series, describing a shape/graph with a series of values.

[0]https://en.m.wikipedia.org/wiki/Kurtosis

[1]https://en.m.wikipedia.org/wiki/Moment_(mathematics)

Re:Resident Physicians' Exam Scores Tied to Patient Survival by thaumasiotes on Sunday March 02, 2025 @02:32PM (#43234073)
That says exactly the same thing I just said:

> Excess kurtosis, typically compared to a value of 0, characterizes the “tailedness” of a distribution. A univariate normal distribution has an excess kurtosis of 0. Negative excess kurtosis indicates a platykurtic distribution, which doesn’t necessarily have a flat top but produces fewer or less extreme outliers than the normal distribution. For instance, the uniform distribution (ie one that is uniformly finite over some bound and zero elsewhere) is platykurtic. On the other hand, positive excess kurtosis signifies a leptokurtic distribution. The Laplace distribution, for example, has tails that decay more slowly than a Gaussian, resulting in more outliers.

(Emphasis added.)

You can't have a bell curve with thin tails, because a bell curve has standard tails by definition.

Re:Resident Physicians' Exam Scores Tied to Patient Survival by hydrogen7800 on Sunday March 02, 2025 @03:07PM (#43234480)
I wasn't trying to correct you. Just responding to your comment asking if this is "a concept that exists".