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cardinal
  • Member for 13 years, 2 months
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74 votes
Accepted

Proof of upper-tail inequality for standard normal distribution

45 votes

Simple proof that $8\left(\frac{9}{10}\right)^8 > 1$

41 votes
Accepted

Is the composition of $n$ convex functions itself a convex function?

30 votes

Expert Minesweeper Probability Question

27 votes

Birthday-coverage problem

24 votes
Accepted

Quantile function properties

24 votes
Accepted

Drunkard's walk on the $n^{th}$ roots of unity.

21 votes
Accepted

More examples of Simpson's Paradox, barring the ones on Wikipedia, Titanic, and delayed flights.

20 votes
Accepted

proof of inequality $e^x\le x+e^{x^2}$

19 votes

Uses of the symmetric derivative $\lim \limits_{h\to 0} \frac{f(x+h)-f(x-h)}{2h}$?

19 votes
Accepted

When linear combinations of independent random variables are still independent?

16 votes

How to prove the sum of squares is minimum?

15 votes

Finding $E\left[\frac{\sum_{i=1}^n X_i^2}{(\sum_{i=1}^n X_i)^2}\right]$ of a sample of gamma random variables

13 votes
Accepted

Geometric proof for inequality

13 votes
Accepted

Minimum variance unbiased estimator for scale parameter of a certain gamma distribution

12 votes
Accepted

Are there well known lower bounds for the upper incomplete gamma function?

11 votes
Accepted

How to obtain tail bounds for a square of sub-Gaussian random variable?

11 votes
Accepted

Is this true: $\mathrm{Cov}(X,Y) = \sqrt{\mathrm{Var(X)}}\sqrt{\mathrm{Var}(Y)}$?

10 votes
Accepted

Proving a basic trace inequality

10 votes
Accepted

Weaker condition for law of large numbers

10 votes
Accepted

Question about random walk with fixed endpoint, and a reference request

10 votes
Accepted

Gamma identity $\lim_{n\to \infty}n^{p+1}\int_{0}^{1}e^{-nx}\ln(1+x^{p})dx=\Gamma(p+1)$

9 votes
Accepted

Origin of the Breadth-First Search algorithm

9 votes
Accepted

How to prove $(1+1/x)^x$ is increasing when $x>0$?

9 votes

Integral of product of two functions in terms of the integral of the other function

9 votes
Accepted

Is Wolfram Alpha Wrong? (LU Decomposition)

8 votes

Monotonic behavior of a function

8 votes
Accepted

Integral with Normal Distributions

8 votes
Accepted

How do I prove that $\exp(\frac{h}{1+h})\leq 1+h$?

7 votes
Accepted

Random Variable and Simple Function Measurability