Question

Integrand of convergent integral - absolute continuity is necessary?

score 192 · Answer 1 · 2021-07-22 09:52:43

192

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Integrand of convergent integral - absolute continuity is necessary?

Published on 22 Jul 2021 - 9:52

score 653 · Answer 2 · 2021-07-24 14:25:10

653

Views

Why is it necessary for density functions to be absolutely continuous with respect to a measure in order for the cross entropy to be defined?

Published on 24 Jul 2021 - 14:25

score 75 · Answer 3 · 2021-08-03 13:49:53

75

Views

Showing that $\sum_{n=1}^\infty e^{in^2x}/{n^3}$ is absolutely continuous

Published on 03 Aug 2021 - 13:49

score 225 · Answer 4 · 2021-08-16 05:41:38

225

Views

To show absolute continuity of measures.

Published on 16 Aug 2021 - 5:41

score 124 · Answer 5 · 2021-08-24 19:10:36

124

Views

Define the following group action in terms of matrix representation and show its differentiable

Published on 24 Aug 2021 - 19:10

score 146 · Answer 6 · 2021-08-29 13:51:26

146

Views

Absolute continuity of $g(x)=\int_a^x f(t) dt.$

Published on 29 Aug 2021 - 13:51

score 383 · Answer 7 · 2021-09-13 06:45:30

383

Views

Integration by parts when the two functions are absolutely continuous and continuously differentiable respectively

Published on 13 Sep 2021 - 6:45

score 57 · Answer 8 · 2021-09-13 11:41:26

57

Views

Does an absolutely continuous distribution function imply continuity of conditional expectation?

Published on 13 Sep 2021 - 11:41

score 56 · Answer 9 · 2021-09-14 18:53:57

56

Views

If $f$ is absolutely continuous then $PV(f,[a,b])=\int_{[a,b]}(f')^+$

Published on 14 Sep 2021 - 18:53

score 53 · Answer 10 · 2021-10-21 21:42:52

53

Views

If $\hat{F}$ - estimated empirical CDF, then what does $(\hat{F}) \ll F_{empirical}$ mean? (Absolutely continuous on $F_{emp}$)

Published on 21 Oct 2021 - 21:42

score 56 · Answer 11 · 2021-10-26 14:23:42

56

Views

$F*f$ is absolutely continuous in $\mathbb{R}$

Published on 26 Oct 2021 - 14:23

score 67 · Answer 12 · 2021-10-28 20:36:51

67

Views

Jordan decomposition of differentiable functions

Published on 28 Oct 2021 - 20:36

score 50 · Answer 13 · 2021-11-08 17:50:06

50

Views

Necessary conditions for $f$ such that $f(X)$ has an absolutely continuous distribution when $X$ has one

Published on 08 Nov 2021 - 17:50

score 324 · Answer 14 · 2021-11-10 22:24:07

324

Views

Prove Absolutely Continuous Function is L1 Differentiable

Published on 10 Nov 2021 - 22:24

score 117 · Answer 15 · 2021-11-14 20:52:01

117

Views

How to prove the limit of minimizing sequence of measures is again absolutely continuous(w.r.t. Lebesgue) in the minimizing movement scheme?

Published on 14 Nov 2021 - 20:52

List Question

Integrand of convergent integral - absolute continuity is necessary?

Why is it necessary for density functions to be absolutely continuous with respect to a measure in order for the cross entropy to be defined?

Showing that $\sum_{n=1}^\infty e^{in^2x}/{n^3}$ is absolutely continuous

To show absolute continuity of measures.

Define the following group action in terms of matrix representation and show its differentiable

Absolute continuity of $g(x)=\int_a^x f(t) dt.$

Integration by parts when the two functions are absolutely continuous and continuously differentiable respectively

Does an absolutely continuous distribution function imply continuity of conditional expectation?

If $f$ is absolutely continuous then $PV(f,[a,b])=\int_{[a,b]}(f')^+$

If $\hat{F}$ - estimated empirical CDF, then what does $(\hat{F}) \ll F_{empirical}$ mean? (Absolutely continuous on $F_{emp}$)

$F*f$ is absolutely continuous in $\mathbb{R}$

Jordan decomposition of differentiable functions

Necessary conditions for $f$ such that $f(X)$ has an absolutely continuous distribution when $X$ has one

Prove Absolutely Continuous Function is L1 Differentiable

How to prove the limit of minimizing sequence of measures is again absolutely continuous(w.r.t. Lebesgue) in the minimizing movement scheme?

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