Question

Solving $\partial_t \gamma_t(x) = - \gamma_t(x) + \frac{\gamma_t''(x)}{\gamma_t'(x)^2}$, a nonlinear PDE on quantile functions

score 121 · Answer 1 · 2026-05-06 13:51:31

121

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Solving $\partial_t \gamma_t(x) = - \gamma_t(x) + \frac{\gamma_t''(x)}{\gamma_t'(x)^2}$, a nonlinear PDE on quantile functions

Published on 06 May 2026 - 13:51

score 37 · Answer 2 · 2026-05-06 13:19:10

37

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Does the vector space of differences of quantile functions have a neat characterization?

Published on 06 May 2026 - 13:19

score 153 · Answer 3 · 2026-05-06 02:30:07

153

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Show that $\int_{-\infty}^{a_1} (a_1-x)^r f(x) \mathrm{d} x$ and $\int_{a_n}^\infty (x - a_n)^r f(x) \mathrm{d} x$ are of order $\mathcal{O}(n^{-r})$

Published on 06 May 2026 - 2:30

score 32 · Answer 4 · 2026-05-06 08:13:41

32

Views

How to prove this inequality regarding the quantiles of F-distribution?

Published on 06 May 2026 - 8:13

score 53 · Answer 5 · 2026-05-07 06:26:56

53

Views

Sampling Normal Distribution; Box-Muller, Inverse Transform, Rejection, Approximations?

Published on 07 May 2026 - 6:26

score 31 · Answer 6 · 2026-05-06 14:35:53

31

Views

Is quantile just quantile function evaluated at specific values?

Published on 06 May 2026 - 14:35

score 40 · Answer 7 · 2026-05-06 03:43:24

40

Views

Monotonicity of quantile function divided by its derivative and argument

Published on 06 May 2026 - 3:43

score 20 · Answer 8 · 2026-05-06 14:45:41

20

Views

Why does the quantile function of bivariate normal variables become non-elementary in one dimension?

Published on 06 May 2026 - 14:45

score 46 · Answer 9 · 2026-05-07 01:45:08

46

Views

Prove $E(X)=\int_0^\infty1-F_X(x)\,dx$ using quantile functions

Published on 07 May 2026 - 1:45

score 68 · Answer 10 · 2026-05-06 14:22:07

68

Views

Using quantile function of eventually monotonic pdf to get something like an expectation

Published on 06 May 2026 - 14:22

score 57 · Answer 11 · 2026-05-06 05:59:14

57

Views

Quantile function

Published on 06 May 2026 - 5:59

score 50 · Answer 12 · 2026-05-06 02:38:54

50

Views

When is the quantile function of a gamma distribution concave?

Published on 06 May 2026 - 2:38

score 89 · Answer 13 · 2026-05-06 13:23:42

89

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Quantile Function of a Normal RV

Published on 06 May 2026 - 13:23

score 306 · Answer 14 · 2026-05-06 14:20:33

306

Views

Integrals of quantile function

Published on 06 May 2026 - 14:20

score 157 · Answer 15 · 2026-05-07 12:50:24

157

Views

Help with a covariance inequality

Published on 07 May 2026 - 12:50

List Question

Solving $\partial_t \gamma_t(x) = - \gamma_t(x) + \frac{\gamma_t''(x)}{\gamma_t'(x)^2}$, a nonlinear PDE on quantile functions

Does the vector space of differences of quantile functions have a neat characterization?

Show that $\int_{-\infty}^{a_1} (a_1-x)^r f(x) \mathrm{d} x$ and $\int_{a_n}^\infty (x - a_n)^r f(x) \mathrm{d} x$ are of order $\mathcal{O}(n^{-r})$

How to prove this inequality regarding the quantiles of F-distribution?

Sampling Normal Distribution; Box-Muller, Inverse Transform, Rejection, Approximations?

Is quantile just quantile function evaluated at specific values?

Monotonicity of quantile function divided by its derivative and argument

Why does the quantile function of bivariate normal variables become non-elementary in one dimension?

Prove $E(X)=\int_0^\infty1-F_X(x)\,dx$ using quantile functions

Using quantile function of eventually monotonic pdf to get something like an expectation

Quantile function

When is the quantile function of a gamma distribution concave?

Quantile Function of a Normal RV

Integrals of quantile function

Help with a covariance inequality

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