Skip to main content
Alecos Papadopoulos's user avatar
Alecos Papadopoulos's user avatar
Alecos Papadopoulos's user avatar
Alecos Papadopoulos
  • Member for 10 years, 10 months
  • Last seen more than a week ago
70 votes
Accepted

Why the sum of residuals equals 0 when we do a sample regression by OLS?

52 votes
Accepted

how to derive the mean and variance of a Gaussian Random variable?

39 votes
Accepted

Identity for simple 1D random walk

30 votes
Accepted

Derivation of the density function of student t-distribution from this big integral.

17 votes

How to prove $\int_0^1\tan^{-1}\left[\frac{\tanh^{-1}x-\tan^{-1}x}{\pi+\tanh^{-1}x-\tan^{-1}x}\right]\frac{dx}{x}=\frac{\pi}{8}\ln\frac{\pi^2}{8}?$

14 votes
Accepted

Why would I use Bayes' Theorem if I can directly compute the posterior probability?

12 votes
Accepted

Why the expected value of the error when doing regression by OLS is 0?

12 votes
Accepted

What is the difference between a random vector and a stochastic process?

10 votes
Accepted

Expectation Operator on a Matrix

10 votes

Is Standard Deviation the same as Entropy?

10 votes
Accepted

Is the mean of the truncated normal distribution monotone in $\mu$?

10 votes

Can the maximum likelihood estimator be unbiased and fail to achieve Cramer-Rao lower bound?

9 votes
Accepted

Teaser or fun calc equation to surprise husband (physicist/EE) at work

9 votes
Accepted

Conditional mean on uncorrelated stochastic variable

8 votes
Accepted

Asymptotic correlation between sample mean and sample median

8 votes
Accepted

Least squares / residual sum of squares in closed form

7 votes

Help me organize these concepts -- KKT conditions and dual problem

7 votes

Product of two complementary error functions (erfc)

6 votes

Is it possible to alternate the law of mathematics?

6 votes
Accepted

Moment generating function of a constant

6 votes

Process properties of the maximum of two independent linear Brownian motions

5 votes

Are we guaranteed that the harmonic series minus infinite random terms always converge?

5 votes
Accepted

Closed form solution to $\int_0^{\infty} x(1+({\frac{x}{\lambda}})^{(-\alpha-1)}) dx$

5 votes
Accepted

Correct Intuition? Standard Deviation and distance in $n$ dimensional space.

5 votes

Relationship between entropy and ergodicity

5 votes

Is there a mathematical reason why chocolate chip cookies have 37% (1/e) chocolate in them?

5 votes

Maximum Entropy (The existence of a Calculus of Variations problem)

5 votes
Accepted

Mapping CDF's to each other

4 votes

Clayton copula and Kendall's tau

4 votes
Accepted

Confusion in stationary process and stationary distribution

1
2 3 4 5
8