Question

Difference in the total variation norm of measures is equal to two, implies measures are not absolutely continuous?

score 116 · Answer 1 · 2026-04-11 03:45:05

116

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Difference in the total variation norm of measures is equal to two, implies measures are not absolutely continuous?

Published on 11 Apr 2026 - 3:45

score 127 · Answer 2 · 2026-04-15 21:29:29

127

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Riffle shuffling cards and cuts

Published on 15 Apr 2026 - 21:29

score 943 · Answer 3 · 2026-04-16 05:57:54

943

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Relation between total variation and KS distance between measures on $[0,1]^d$

Published on 16 Apr 2026 - 5:57

score 52 · Answer 4 · 2026-04-15 18:56:41

52

Views

Prove $|\int_\mathbb{R} F(x)\varphi'(x)\,dx|\leq A$ where $F$ has bounded variation on $\mathbb{R}$ and $\varphi\in C^1$.

Published on 15 Apr 2026 - 18:56

score 122 · Answer 5 · 2026-04-11 09:00:19

122

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Total variation of $N_t - \lambda t$

Published on 11 Apr 2026 - 9:00

score 51 · Answer 6 · 2026-05-10 17:39:03

51

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Can we infer convergence in total variation distance from a Poincaré inequality?

Published on 10 May 2026 - 17:39

score 2.7k · Answer 7 · 2026-05-10 13:50:59

2.7k

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Show that the total variation distance of probability measures $\mu,\nu$ is equal to $\frac{1}{2}\sup_f\left|\int f\:{\rm d}(\nu-\mu)\right|$

Published on 10 May 2026 - 13:50

score 332 · Answer 8 · 2026-05-10 13:48:16

332

Views

Equivalent definitions of total variation norm

Published on 10 May 2026 - 13:48

score 144 · Answer 9 · 2026-04-17 13:52:09

144

Views

References for total variation distance between tensor products of two probability measures

Published on 17 Apr 2026 - 13:52

score 132 · Answer 10 · 2026-04-13 10:00:33

132

Views

What's the maximum total variation divergence between a gaussian with a gaussian mixture?

Published on 13 Apr 2026 - 10:00

score 56 · Answer 11 · 2026-04-14 12:00:11

56

Views

Toy dice problem and conditioning

Published on 14 Apr 2026 - 12:00

score 510 · Answer 12 · 2026-04-13 21:03:09

510

Views

Total variation between random variables or probability measures

Published on 13 Apr 2026 - 21:03

score 149 · Answer 13 · 2026-04-12 12:44:56

149

Views

Bound an integral in terms of the total variation distance

Published on 12 Apr 2026 - 12:44

score 76 · Answer 14 · 2026-04-09 11:54:08

76

Views

integration of bounded variation function is of bounded variation?

Published on 09 Apr 2026 - 11:54

score 49 · Answer 15 · 2026-05-10 18:43:06

49

Views

On the definition of bounded variation

Published on 10 May 2026 - 18:43

List Question

Difference in the total variation norm of measures is equal to two, implies measures are not absolutely continuous?

Riffle shuffling cards and cuts

Relation between total variation and KS distance between measures on $[0,1]^d$

Prove $|\int_\mathbb{R} F(x)\varphi'(x)\,dx|\leq A$ where $F$ has bounded variation on $\mathbb{R}$ and $\varphi\in C^1$.

Total variation of $N_t - \lambda t$

Can we infer convergence in total variation distance from a Poincaré inequality?

Show that the total variation distance of probability measures $\mu,\nu$ is equal to $\frac{1}{2}\sup_f\left|\int f\:{\rm d}(\nu-\mu)\right|$

Equivalent definitions of total variation norm

References for total variation distance between tensor products of two probability measures

What's the maximum total variation divergence between a gaussian with a gaussian mixture?

Toy dice problem and conditioning

Total variation between random variables or probability measures

Bound an integral in terms of the total variation distance

integration of bounded variation function is of bounded variation?

On the definition of bounded variation

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