Prove that $\max(X,Y)$ is random variable
6190
Maximum/minimum of two random variables is a random variable
154091
Is there any counterexample to show that $X,Y$ are two random variables and $E(X\mid Y)=E(X)$, but $X$ and $Y$ are not independent.
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
108704
Help with proof of $|x+y| \geq |x|-|y|$
20192
Prove that: $(f(x))^{2} + (f'(x))^{2} \leqslant \max(a,b)$ where $(a,b) \in \mathbb{R}^2$
95694
Is there a name for the function $\max(x, 0)$?
24683
For i.i.d. $\{X_n\}$ proving $\frac1n\max\limits_{1\leqslant k\leqslant n}|X_k|\xrightarrow{\mathrm{a.s.}}0\Leftrightarrow E(|X_1|)<+∞$
72813
If $X$ and $Y$ are uniformly distributed on $(0,1)$, what is the distribution of $\max(X,Y)/\min(X,Y)$?
80965
Computation of distribution parameters for the maximum of two random variables
662
If $E[X|Y]=Y$ almost surely and $E[Y|X]=X$ almost surely then $X=Y$ almost surely
6077
Expectation of max of two normal random variables
45220
Proving the sum of two independent Cauchy Random Variables is Cauchy
3820
Prove that $||x|-|y||\le |x-y|$
82279
Prove that it is a random variable iff it is constant on each partition
78953
Calculate probability $P(\min\left\{X,Y\right\} \leq x)$ and $P(\max\left\{X,Y\right\} \leq x)$
74835
how to prove that $ \lim x_n^{y_n}=\lim x_n^{\lim y_n}$?
77855
Prove that if $A$ has a maximum, then the maximum must be the supremum