Talk:Cumulative distribution function: Difference between revisions

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Illia Connell (talk | contribs)
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:This article follows the convention reached via the link [[right-continuous]]. This is "continuous from the right". Perhaps you are thinking of "continuous to the left". [[Special:Contributions/81.98.35.149|81.98.35.149]] ([[User talk:81.98.35.149|talk]]) 11:34, 6 March 2013 (UTC)
 
== Not that redundant? ==
 
The passage that I deleted but which was restored said
 
:'''Point probability'''
:''The "point probability" that ''X'' is exactly ''b'' can be found as''
 
::<math>\operatorname{P}(X=b) = F(b) - \lim_{x \to b^{-}} F(x).</math>
 
:''This equals zero if ''F'' is continuous at ''x''.''
 
However, at the end of the section "Definition" it says
 
:''In the case of a random variable ''X'' which has distribution having a discrete component at a value ''x''<sub>0</sub>,''
::<math> \operatorname{P}(X=x_0) =F(x_0)-F(x_0-) ,</math>
:''where F(''x''<sub>0</sub>-) denotes the limit from the left of F at ''x''<sub>0</sub>: i.e. lim ''F''(''y'') as ''y'' increases towards ''x''<sub>0</sub>.''
 
What I deleted looks identical to that, except that it doesn't include the sentence ''This equals zero if ''F'' is continuous at ''x''.''
 
I propose that we re-delete it but put the last-mentioned sentence into the existing section.