Used in a Sentence

fat-tailed

Definition, parts of speech, synonyms, and sentence examples for fat-tailed.

Editorial note

The distribution is fat-tailed relative to the normal distribution.

Examples15
Definitions1
Parts of speech1

Quick take

(statistics) Having a fat tail; leptokurtic.

Meaning at a glance

The clearest senses and uses of fat-tailed gathered in one view.

adjective

(statistics) Having a fat tail; leptokurtic.

Definitions

Core meanings and parts of speech for fat-tailed.

adjective

(statistics) Having a fat tail; leptokurtic.

Example sentences

1

The distribution is fat-tailed relative to the normal distribution.

2

Exponential is completely positively skewed and thin-tailed, and Pareto is roughly the same shape but very fat-tailed.

3

These fat-tailed distributions will have a variance as long as they decay faster than x^(-3).

4

But it is also unclear what steps could anyone take to mitigate such uncertain but potentially fat-tailed risks, so it is your call.

5

Then tested the correlation between calibration and profit using Spearman rank correlation (not Pearson, because the profit distribution is fat-tailed, Hill alpha ~1.6).

6

Angel Investing is damn hard, have you ever looked at the return distribution of the VC industry, it is more fat-tailed than anything else.

7

The saying probably assumes that each chronometer has a certain small probability of malfunctioning, resulting in a significant error (basically a fat-tailed error distribution).

8

Well, frequentist methods are taking the blame for the most recent financial crisis, such as assuming a normal distribution when the empirical one is fat-tailed.

9

If you take a more-reasonable fat-tailed distribution, many schools still don't.

10

The basic idea is that Pinker uses data about very thin-tailed processes, like street crime, to make inferences about very fat-tailed processes, like casualties in war.

11

I think they mis-adjusted their ranges and it's probably a fat-tailed power law distribution.

12

Most statisticians have their own definition of fat-tailed, I like the definition you linked to (polynomial decay), but it is not universally accepted/known.

Quote examples

1

That's called "volatility", and we model it as Brownian motion (although it's more fat-tailed than a normal distribution).

2

The paper demonstrates via the "Inference Trilemma" that hallucinations are not transient bugs to be fixed by more data, but mathematical necessities when a bounded system faces fat-tailed domains (alpha ≤ 1).

3

Levy stable distributions are also called "fat-tailed", "heavy-tailed" or "power law" distributions.

Frequently asked questions

Short answers drawn from the clearest meanings and examples for this word.

How do you use fat-tailed in a sentence?

The distribution is fat-tailed relative to the normal distribution.

What does fat-tailed mean?

(statistics) Having a fat tail; leptokurtic.

What part of speech is fat-tailed?

fat-tailed is commonly used as adjective.