Finding distribution and mgf of $N(x) = \min \left \{ n \ge 1: X_1 + \cdots + X_n>x\right \}$
7207
Statistics: sequences of independent and identically distributed random variables
25648
Prove $(a_1+b_1)^{1/n}\cdots(a_n+b_n)^{1/n}\ge \left(a_1\cdots a_n\right)^{1/n}+\left(b_1\cdots b_n\right)^{1/n}$
66126
How to prove that convergence in MGF implies Convergence in Distribution?
53112
Proving using AM-GM inequality
77510
$\sum_{1}^{n}\left ( a_{i}b_{i} \right )\geq \prod_{1}^{n}\left ( a_{i}^{b_{i}} \right )$
78733
Finding the density for $\min\{X, Y\}$
87395
Evaluating $\int_{I^n} \left( \min_{1\le i \le n}x_i \right)^{\alpha}\,\, dx$
72813
If $X$ and $Y$ are uniformly distributed on $(0,1)$, what is the distribution of $\max(X,Y)/\min(X,Y)$?
24617
Proof of Inequality using AM-GM
140650
Find the distribution of sum and product of standard normal random variables
136686
Find the almost sure limit of $X_n/n$, where each random variable $X_n$ has a Poisson distribution with parameter $n$
155900
Distribution of X+Y of a bivariate normally distributed (X,Y)
153499
What is the CDF of the sum of weighted Bernoulli random variables?
122328
Justifying the Normal Approx to the Binomial Distribution through MGFs
13814
Limiting distribution of $\frac {X_n -Y_m -(n-m)}{\sqrt{X_n+Y_m}}$ where $X_n,Y_m$ are independent Poisson
65715
Distribution of sums
42406
Calculate limiting distribution of $\frac{\sum_{i=1}^n X_i}{\sum_{i=1}^n Y_i}$