What is the distribution of $(X−Y)^2+(Z−Y)^2$, where $X$,$Y$ and $Z$ are independent normal distributions with their own means and variance?
93922
sum of noncentral Chi-square random variables
43942
$N(\theta,\theta)$: MLE for a Normal where mean=variance
4058
Suppose X and Y are i.i.d and $\frac{X+Y}{\sqrt{2}}\overset{d}=X\overset{d}=Y$, show that X has a normal distribution.
99507
Pdf of the square of a standard normal random variable
22586
Distribution of $(XY)^Z$ for $(X,Y,Z)$ i.i.d. uniform on $(0,1)$
19973
If $X$ and $Y$ are independent $N(0,\sigma^2)$, then $X^2+Y^2$ and $X/Y$ are independent?
74570
Finding distribution of $\frac{X_1+X_2 X_3}{\sqrt{1+X_3^2}}$
39897
Mean and variance of a Beta distribution with $\alpha \ge 1$ or $\beta \ge 1$?
157517
Simple homework question about normally distributed variables
16434
Finding the distribution of $5X_{1}^2+2X_{1}X_{2}+X_{2}^2$
69458
Interpretation of Standard Deviation independent of the distribution?
58620
What Ratio of Independent Distributions gives a Normal Distribution?
26717
Distribution of the difference of two normal random variables.
44892
Marginal, joint, and conditional distributions of a multivariate normal
69614
a generalization of normal distribution to the complex case: complex integral over the real line
151302
If $X$ and $Y$ are independent random variables, with $Z = \min(X,Y),$ prove that $Z^2\sim\chi^2(1),$
116689
Joint distribution of range $(R=X_n-X_1)$ and mid-range $(V=\frac{1}{2}(X_1+X_n)$order statistics