Talk:Indecomposable distribution

Maybe Typo ???

${\begin{matrix}V=\left\{{\begin{matrix}1&\mathrm {with} \ \mathrm {probability} &1,\\0&\mathrm {with} \ \mathrm {probability} &1-q,\end{matrix}}\right.\end{matrix}}$

I feel this should be

${\begin{matrix}V=\left\{{\begin{matrix}1&\mathrm {with} \ \mathrm {probability} &q,\\0&\mathrm {with} \ \mathrm {probability} &1-q,\end{matrix}}\right.\end{matrix}}$

-hgkamath

Yes. The "q" and "1" keys are close together. Thanks. I've fixed it. Michael Hardy 01:30, 28 August 2006 (UTC)

Don't understand example

Suppose a random variable Y has a geometric distribution

$\Pr(Y=n)=(1-p)^{n}p\,$

... now let D_n be the nth binary digit of Y ... then the Ds are independent and

$Y=\sum _{n=1}^{\infty }{D_{n} \over 2^{n}},$

Umm. What?? I don't know how to fix this. --God made the integers (talk) 20:29, 13 January 2017 (UTC)

It makes no sense. The second Y is not even an integer -- probably the 2^n needs to be in the numerator. But no reference is given. So we can't correct the logic, it is too far gone.

In addition, the point of the example is not clearly explained, although the example is interesting and probably has a point. It reminds me of the fact that an abstract L^2 space has both a discrete decomposition and a continuous decomposition, but they are not compatible.

I fixed the 2^n and the wording but there still are gaps. 2001:171B:2274:7C21:B13D:6306:7B8E:4356 (talk) 21:56, 12 April 2022 (UTC)