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The normal, or Gaussian, distribution has a density function that is a symmetrical bell-shaped curve. It is one of the most important distributions in statistics. Use the [normality-assumption] tag for asking about testing for normality.

3 votes
2 answers
313 views

How to find a closed-form expression for $E[\max(X,Y)]$?

Let $X$ and $Y$ be two random variables, with $X\sim N(a,b)$ and $Y\sim N(c,d)$. Furthermore, $X$ and $Y$ are correlated with a correlation coefficient equal to $p$. How do I find a closed-form expres …
vicky113's user avatar
  • 165
1 vote
0 answers
38 views

Expectation of a Random Function

x ~ N(a,b), y ~ N(c,d). x and y are independent Random Variables. I am trying to compute this expectation:- E[f(x,y)]..... x Where f(x,y) = y if (x-y)>0 f(x,y) = x, if otherwise The way I was thin …
vicky113's user avatar
  • 165