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Cm7F7Bb
  • Member for 12 years, 3 months
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41 votes

Mean and variance of Squared Gaussian: $Y=X^2$ where: $X\sim\mathcal{N}(0,\sigma^2)$?

31 votes

Correlation Coefficient and Determination Coefficient

27 votes

Is $g(x)=\log x$ convex function?

24 votes

Unexpected examples of natural logarithm

19 votes

A Banach space that is not a Hilbert space

16 votes
Accepted

What is the difference between the probability law of X and the distribution of X?

12 votes
Accepted

CDF of absolute value of difference in random variables

11 votes
Accepted

The Fejer kernel has this $\sin$ closed form.

11 votes
Accepted

Why is Linearity of Expectation so important?

11 votes

Is this the right way to multiply series?

10 votes
Accepted

convergence in mean square implies convergence of variance

9 votes

Meaning of a set in the exponent

9 votes
Accepted

Decide if the series converges and prove it using comparison test: $\sum_{k=1}^{\infty}\frac{1}{2k+3}$

9 votes
Accepted

If $ \sum\frac{a_n}{n}$ converges, then $\frac{a_1+\cdots+a_n}{n}$ converges to 0?

9 votes

Simple sum of finite exponential series

9 votes

Evaluation of $\lim_{n\rightarrow \infty}\binom{2n}{n}^{\frac{1}{n}}$

8 votes
Accepted

Notation for specifying the fractional part of a number

8 votes
Accepted

Determine wether $\sum_{n=1}^\infty \frac{3n-1}{(n+1)^3}$ converges or diverges.

8 votes

A mathematical way for defining the $\operatorname{Floor}$ and $\operatorname{Ceiling}$ functions

8 votes
Accepted

How to tell is a matrix is a covariance matrix?

7 votes
Accepted

Finding the distribution law

7 votes
Accepted

True or False. Convergent subsequence

7 votes

If $X \sim N(0,1)$, why is $E(X^2)=1$?

7 votes
Accepted

Showing the sequence converges to the square root

7 votes

Random variables defined on the same probability space with different distributions

7 votes

Calculating the sum of $\sum_{k=1}^{\infty}{\frac{(-1)^k}{k}}$

6 votes
Accepted

What does $\mathbb P\{X\geq 1\}$ mean in probability theory?

6 votes
Accepted

How to interpret the sum of two series?

6 votes
Accepted

(Dis-)proving the series $\sum\limits_n\left( 1+ \frac{1}{n} \right)^n$ converges

6 votes
Accepted

does the series \sum_{1}^{\infty} (\frac{n+1}{n})^n equals to e?

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