Talk:Conditional probability distribution

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Actual formal definition

The measure-theoretic definition seems to attempt to define a conditional distribution from... a conditional distribution! This should be improved. 132.169.4.223 (talk) 15:20, 28 June 2017 (UTC)[reply]

Conditional Density doesn't have a page

Can I link "Conditional Density" to this page

of course; maybe directly to the case of continuous distributions? 132.169.4.223 (talk) 15:20, 28 June 2017 (UTC)[reply]

Split up article?

Can we split up the article into some subheadings like "Independence" and "Likelihood Function"? It seems to be a massive paragraph that you have to read to find what you want. Thoughts?daviddoria (talk) 18:47, 11 September 2008 (UTC)[reply]

Notation

In the discrete case we write $P(X=x)$ for the probability of the event {X=x} and introduce a probability function $p_{X}(x)=P(X=x)$ . In analogy: $P(X=x|Y=y)$ for the probability of the event {X=x} given the event {Y=y} and the corresponding probability function $p_{X}(x|Y=y)=P(X=x|Y=y)$ .

In the continuous case, the corresponding term for the probability function is the density: $f_{X}(x)$ . In analogy we write for the conditional density, given the event {Y=y}: $f_{X}(x|Y=y)$ . We have to consider that the event {Y=y} is short for {ω∈Ω|Y(ω)=y}. It best has to be kept as a unit, symbolizing the event.Nijdam (talk) 22:32, 22 January 2010 (UTC)[reply]

Relation to independence

Isn't the result that is being referred in fact an "if and only if"-result? If so it should at least be mentioned. — Preceding unsigned comment added by Superpronker (talk • contribs) 14:47, 22 December 2011 (UTC)[reply]

Yes, you are right. Now it is so formulated. But still, the formulation is not perfect. Boris Tsirelson (talk) 15:36, 22 December 2011 (UTC)[reply]

Conditional Cumulative Distribution

Hello I was wondering if conditional CDF should get a subsection. The below source mentions that: $C_{1|2}(u_{1},u_{2})=Pr\left[U_{2}<u_{2}|U_{1}=u_{1}\right]={\frac {\partial C_{\theta }\left(u_{1},u_{2}\right)}{\partial u_{1}}}$

Source - (http://www.caee.utexas.edu/prof/bhat/ABSTRACTS/Supp_material.pdf) references Nelsen, 2006; pg 41. -Mouse7mouse9 20:33, 17 May 2013 (UTC) — Preceding unsigned comment added by Mouse7mouse9 (talk • contribs)