Question on conditional distributions
Suppose I have three random variables, $X,Y,Z$. If I know that $X|Y,Z sim N(0,1)$, can I claim that $X|Y sim N(0,1)$? If not, is there anything I can say about $X|Y$?
probability-theory probability-distributions
asked Nov 29 '18 at 19:05
NBm424
13
add a comment |
Suppose I have three random variables, $X,Y,Z$. If I know that $X|Y,Z sim N(0,1)$, can I claim that $X|Y sim N(0,1)$? If not, is there anything I can say about $X|Y$?
probability-theory probability-distributions
asked Nov 29 '18 at 19:05
NBm424
13
What's the meaning of $X| Y$?
– littleO
Nov 29 '18 at 19:18
@littleO the distribution of $X$ conditional on $Y$.
– NBm424
Nov 29 '18 at 19:21
add a comment |
Suppose I have three random variables, $X,Y,Z$. If I know that $X|Y,Z sim N(0,1)$, can I claim that $X|Y sim N(0,1)$? If not, is there anything I can say about $X|Y$?
probability-theory probability-distributions
asked Nov 29 '18 at 19:05
NBm424
13
Suppose I have three random variables, $X,Y,Z$. If I know that $X|Y,Z sim N(0,1)$, can I claim that $X|Y sim N(0,1)$? If not, is there anything I can say about $X|Y$?
probability-theory probability-distributions
probability-theory probability-distributions
asked Nov 29 '18 at 19:05
NBm424
13
asked Nov 29 '18 at 19:05
NBm424
13
asked Nov 29 '18 at 19:05
NBm424
13
asked Nov 29 '18 at 19:05
NBm424
13
asked Nov 29 '18 at 19:05
NBm424
13
13
What's the meaning of $X| Y$?
– littleO
Nov 29 '18 at 19:18
@littleO the distribution of $X$ conditional on $Y$.
– NBm424
Nov 29 '18 at 19:21
add a comment |
What's the meaning of $X| Y$?
– littleO
Nov 29 '18 at 19:18
@littleO the distribution of $X$ conditional on $Y$.
– NBm424
Nov 29 '18 at 19:21
What's the meaning of $X| Y$?
– littleO
Nov 29 '18 at 19:18
What's the meaning of $X| Y$?
– littleO
Nov 29 '18 at 19:18
@littleO the distribution of $X$ conditional on $Y$.
– NBm424
Nov 29 '18 at 19:21
@littleO the distribution of $X$ conditional on $Y$.
– NBm424
Nov 29 '18 at 19:21
add a comment |
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What's the meaning of $X| Y$?
– littleO
Nov 29 '18 at 19:18
@littleO the distribution of $X$ conditional on $Y$.
– NBm424
Nov 29 '18 at 19:21