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1d
comment Torus translation is ergodic if and only if the components of the translation vector are rationally independent.
@Chris Please click on the checkmark if you are satisfied by the answer.
1d
asked Relationship between asymptotic full cardinality and full measure
May
17
answered Does one of these conditions on a sequence imply the other one?
May
15
comment Is there a probability distribution with the following properties?
I don't know, but I would take a look at academia.edu/1686413/…
May
14
accepted Does one of these conditions on a sequence imply the other one?
May
14
comment Does one of these conditions on a sequence imply the other one?
Thank you, you greatly help me. In fact I'm mainly interested in $\Delta\cap\Theta$ so this perfectly answers to my question. And the result was the one I originally expected.
May
14
revised Does one of these conditions on a sequence imply the other one?
added 145 characters in body
May
14
asked Does one of these conditions on a sequence imply the other one?
Apr
25
comment Is there a way to solve for an unknown in a factorial?
a better approximation involving $W$ as well : mathoverflow.net/a/28977/21339
Mar
15
comment Notation $\mathrm{mod} $ in ergodic theory
$B=A \mod \mu$ $\iff$ $\mu(B \Delta A)=0$ $\iff$ ${\boldsymbol 1}_B={\boldsymbol 1}_A \quad \mu \text{ a.e.}$.
Mar
7
answered Kolmogorov distance between univariate gaussians
Feb
14
asked nice stationary process with discrete spectrum
Feb
13
answered Must any set of positive Lebesgue measure contain a bounded set of positive measure?
Feb
5
comment Computing confidence bounds on entropy given an empirical sample from a multinomial distribution?
The posterior distribution of $(p_1, \ldots, p_d)$ is a Dirichlet distribution. But I don't know what is the function $f$.
Feb
4
comment Computing confidence bounds on entropy given an empirical sample from a multinomial distribution?
Hello, using a Bayesian approach you can easily get a credibility interval for any function $f(p_1, \ldots, p_d)$. Using the Jeffreys posterior distribution, you can expect that the $95\%$-credibility interval provides a $\approx 95\%$-confidence interval.
Nov
12
answered Product of ergodic transformations
Nov
9
comment Disintegration-like theorem
@Ilya Actually you can drop the probabilistic objects (the random variables), the measure $\mu$ in Michael's answer plays the role of the law of $(A_1,A_2,B_2)$ (but I don't know why his answer looks so complicated). I prefer the probabilistic framework because of the interpretation of the integrals.
Nov
9
answered Disintegration-like theorem
Sep
27
comment counting combinations of {+1, -1} with constraints
Nice question but it should be better for math.stackexchange
Aug
21
revised Independence of Filtration
minor corrections