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remove the incorrect Bernoulli distribution exact L-moment equation (#…
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jorenham authored Jan 13, 2025
2 parents 20ad361 + aa3048a commit f1916b2
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Expand Up @@ -590,24 +590,6 @@ distributions. The proofs are not published, but it isn't difficult
to validate their correctness, e.g. numerically, or symbolically with sympy or
wolfram alpha / mathematica.

### Bernoulli

Surprisingly, the L-moments of the discrete
[Bernoulli distribution](https://wikipedia.org/wiki/Bernoulli_distribution)
[@uspensky1937], can't be expressed as easily as the distribution itself:

\[
\tlmoment{s, t}{r} =
\frac{(-1)^r}{r}
(1 - p)^{s + 1}
\jacobi{r + t - 1}{s + 1}{-t - 1}{2p - 1}
+ \ffact{1}{r}
\]

Here, \( \jacobi{n}{\alpha}{\beta}{x} \) is a
[Jacobi polynomial](#def-jacobi) (although it's not orthogonal for
\( t >= 0 \), since \( \beta > -1 \) does not hold).

### PFD

With support on the interval \( (0, 1] \) and shape parameter
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