List questions from means

Published on 19 Oct 2013 - 6:34

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How can I Prove $\frac{2xy}{x+y}\leq \sqrt{xy}\leq \frac{x+y}{2}$

Published on 28 Oct 2013 - 20:09

347

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Question about arithmetic–geometric mean

Published on 27 Nov 2013 - 22:11

51.6k

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Proofs of AM-GM inequality

Published on 30 Mar 2026 - 8:32

202

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If $a_1a_2\cdots a_n =1$, then $\prod_{i=1}^n (1+a_i) \geq 2^n$

Published on 26 Mar 2026 - 14:21

69

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Harmonic mean larger then elements - what is a robust alternative?

Published on 13 Apr 2017 - 15:44

6.7k

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What are the different types of "averages" and when to use each one?

Published on 13 Apr 2017 - 18:40

44

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Solve for E(X) with ln function

Published on 13 Apr 2017 - 21:34

50

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Difference in Sample Means

Published on 30 Mar 2026 - 17:39

80

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$\sqrt{1},\sqrt{2},\sqrt{3},\dotsc \sqrt{n}$. Calculate $\lim_{n\to\infty}\mu/\sigma$

Published on 15 Apr 2017 - 15:24

58

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Modified Mean of Gamma Distribution

Published on 26 Mar 2026 - 16:04

549

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What is the average?

Published on 22 Apr 2017 - 10:58

271

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Intuition behind the Geometric Mean of a set of data points $a_i$

Published on 22 Apr 2017 - 11:52

54

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Mean & standard deviation

Published on 24 Apr 2017 - 11:25

251

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How to prove that $\mathbf{E}\eta = \int_{0}^{\infty}\mathbf{P}(\{\eta > z\})dz$ for arbitrary non-negative random variable?

Published on 26 Apr 2017 - 19:01

List Question

Why is the $0$th power mean defined to be the geometric mean?

How can I Prove $\frac{2xy}{x+y}\leq \sqrt{xy}\leq \frac{x+y}{2}$

Question about arithmetic–geometric mean

Proofs of AM-GM inequality

If $a_1a_2\cdots a_n =1$, then $\prod_{i=1}^n (1+a_i) \geq 2^n$

Harmonic mean larger then elements - what is a robust alternative?

What are the different types of "averages" and when to use each one?

Solve for E(X) with ln function

Difference in Sample Means

$\sqrt{1},\sqrt{2},\sqrt{3},\dotsc \sqrt{n}$. Calculate $\lim_{n\to\infty}\mu/\sigma$

Modified Mean of Gamma Distribution

What is the average?

Intuition behind the Geometric Mean of a set of data points $a_i$

Mean & standard deviation

How to prove that $\mathbf{E}\eta = \int_{0}^{\infty}\mathbf{P}(\{\eta > z\})dz$ for arbitrary non-negative random variable?

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