Question

Help understand a proof in the paper "Likelihood Ratio Tests for Monotone Functions"

score 47 · Answer 1 · 2020-08-24 17:30:26

47

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Help understand a proof in the paper "Likelihood Ratio Tests for Monotone Functions"

Published on 24 Aug 2020 - 17:30

score 75 · Answer 2 · 2026-03-25 06:34:22

75

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A question related to slowly oscillating functions from De-Koninck&Luca-Analytic NT

Published on 25 Mar 2026 - 6:34

score 119 · Answer 3 · 2020-10-31 22:35:19

119

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Summation Translation

Published on 31 Oct 2020 - 22:35

score 298 · Answer 4 · 2021-04-11 21:20:58

298

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Summation by parts as a case of integration by parts

Published on 11 Apr 2021 - 21:20

score 111 · Answer 5 · 2021-04-17 01:07:14

111

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How do we get this by partial summation formula?

Published on 17 Apr 2021 - 1:07

score 81 · Answer 6 · 2021-08-17 19:58:57

81

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Prove the colum sum of a cofactor matrix of a B-matrix multipliid by a positive vector is positive.

Published on 17 Aug 2021 - 19:58

score 110 · Answer 7 · 2021-10-11 21:02:33

110

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Two formulations of summation by parts

Published on 11 Oct 2021 - 21:02

score 65 · Answer 8 · 2022-01-06 16:50:10

65

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Integration by parts involving empirical/counting measure

Published on 06 Jan 2022 - 16:50

score 238 · Answer 9 · 2022-07-16 22:47:44

238

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Order of Operators - Question in Proof of Abel's Transformation - Summation by Parts

Published on 16 Jul 2022 - 22:47

score 24 · Answer 10 · 2022-07-22 03:55:58

24

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The bound on the summatory function of $\tau(n,\vartheta)$ using Van de Corput's method

Published on 22 Jul 2022 - 3:55

score 76 · Answer 11 · 2022-08-01 09:00:32

76

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Proof that $\sum_{i=0}^n i^k = \sum_{i=0}^n (n-i)((i+1)^k-i^k)$

Published on 01 Aug 2022 - 9:00

score 344 · Answer 12 · 2022-08-06 23:44:07

344

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Probability that $\sum_{n=1}^{\infty}{\frac{X_n}{n}}$ converges where $(X_n)_{n \in \mathbb{N}}$ is a sequence of i.i.d with $X_n ~ Unif(-1,1)$

Published on 06 Aug 2022 - 23:44

score 38 · Answer 13 · 2022-11-01 12:48:46

38

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limit of $\sum_{k=0}^{n} q^{(2k+1)^{3/2}}$ with $0<q<1$?

Published on 01 Nov 2022 - 12:48

score 79 · Answer 14 · 2022-11-29 22:37:16

79

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Prove that the analytic mean value of an arithmetic function equals the logarithmic mean value

Published on 29 Nov 2022 - 22:37

List Question

Help understand a proof in the paper "Likelihood Ratio Tests for Monotone Functions"

A question related to slowly oscillating functions from De-Koninck&Luca-Analytic NT

Summation Translation

Summation by parts as a case of integration by parts

How do we get this by partial summation formula?

Prove the colum sum of a cofactor matrix of a B-matrix multipliid by a positive vector is positive.

Two formulations of summation by parts

Integration by parts involving empirical/counting measure

Order of Operators - Question in Proof of Abel's Transformation - Summation by Parts

The bound on the summatory function of $\tau(n,\vartheta)$ using Van de Corput's method

Proof that $\sum_{i=0}^n i^k = \sum_{i=0}^n (n-i)((i+1)^k-i^k)$

Probability that $\sum_{n=1}^{\infty}{\frac{X_n}{n}}$ converges where $(X_n)_{n \in \mathbb{N}}$ is a sequence of i.i.d with $X_n ~ Unif(-1,1)$

limit of $\sum_{k=0}^{n} q^{(2k+1)^{3/2}}$ with $0<q<1$?

Prove that the analytic mean value of an arithmetic function equals the logarithmic mean value

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