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Math-fun
  • Member for 8 years, 2 months
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Mathematics is a game played according to certain simple rules with meaningless marks on paper. D. Hilbert (January 23, 1862 – February 14, 1943)

317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is, because mathematical reality is built that way. G.H. Hardy (February 7, 1877 - December 1, 1947), A Mathematician's Apology, 1940.

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4
Proof for "The sum of the observed values $Y_i$ equals the sum of the estimated / fitted values $\hat Y_i$"
Feb 22, 2019
3
Residuals in linear regression - variance and independence
Oct 20, 2023
3
Problem with Cumulative distribution function
Oct 24, 2023
3
Prove that OLS estimated coefficients are independent from other variables
Dec 8, 2023
2
PACF MA(1) via correlation of prediction errors
Jul 6, 2016
2
Inconsistent estimators in case of endogeneity
Oct 28, 2016
2
Variance of sum of products in which multiplicands may be dependent across product sets?
Jul 7, 2017
2
Proof of Frisch-Waugh-Lovell Theorem
Oct 20, 2023
2
What is $E\left[\frac{X^2}{X^2+Y^2}\right]$ if $X$ and $Y$ are normally distributed but not iid.?
Nov 3, 2023
1
Solving for a difference equation for a time series variable
Jul 7, 2016
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19
$f : [0,\infty) → \mathbb{R}$ with $f(0) = f'(0) = 0$ and $f(x) < x^2$ and $f',f'',f''' > 0$?
14
Memoryless property and geometric distribution
11
How many ways can seven people sit around a circular table?
9
How did Euler realize $x^4-4x^3+2x^2+4x+4=(x^2-(2+\alpha)x+1+\sqrt{7}+\alpha)(x^2-(2-\alpha)x+1+\sqrt{7}-\alpha)$?
9
Proof of a Ramanujan Integral