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bio website stla.github.io/stlapblog
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visits member for 1 year, 11 months
seen Jul 22 at 7:57

Jul
2
awarded  Curious
Jun
30
awarded  Revival
Jun
30
revised Definition of entropy of an ergodic measure
added 1 character in body
Jan
30
comment Different definitions of an ergodic stationary process
By "wide-sense stationary" you mean stationary correlation ?
Jan
29
comment What am I doing wrong in calculating Fisher Information of Triangular Distribution?
$x$ is a random variable and you have not calculated the expectation in your last step
Jan
29
comment Ergodic Process: Does it visit all state?
@triomphe Actually this should be equivalent for a discrete-time stationary process. Are you interested in discrete or continuous time ?
Jan
28
comment Ergodic Process: Does it visit all state?
@triomphe Ok, but from your quote by Boltzmann "orbits will typically pass through every point in state space" I suspect he's talking about a measure-preserving transformation (a dynamical system).
Jan
26
comment Ergodic Process: Does it visit all state?
What is the definition of ergodicity you are talking about ? Is it ergodicity of a measure-preserving transformation ?
Aug
19
awarded  Yearling
Aug
11
comment Spectrum and tower decomposition
Thanks. Very elementary actually. I have to overcome the pychological barriers of the newbie.
Aug
11
accepted Spectrum and tower decomposition
Aug
11
asked Spectrum and tower decomposition
Jul
3
accepted Symmetry of Plancherel measure (for $S_n$)
Jul
3
comment Symmetry of Plancherel measure (for $S_n$)
Thank you Marc. Your answers provide more information than I expected.
Jun
25
accepted Isometric embedding of a finite set into $\mathbb{R}^n$
Jun
24
asked Isometric embedding of a finite set into $\mathbb{R}^n$
Jun
15
comment Ergodic action of a group
It's also nice to mention that the classical ergodicity for a measure-preserving transformation $T$ is the case when $G={\{T^n\}}_{n \in \mathbb{Z}}$ .
Jun
4
comment estimate population percentage within an interval, given a small sample
@SeyhmusGüngören Moreover the efficiency should depend on the parameter of interest. Here we want a confidence interval for the probability $\Pr(X \in [a,b])$ which involves both the mean and the standard deviation. I have already tried bootstrap intervals for variance components in some simple mixed models, and I swear they are really too short.
Jun
4
comment estimate population percentage within an interval, given a small sample
@SeyhmusGüngören I'd like to see the result with the sample $50$, $51$, $52$. I don't believe it can work. Here are some related discussions stat.ethz.ch/pipermail/r-help/2006-April/102828.html and stats.stackexchange.com/questions/33300/…
Jun
4
comment estimate population percentage within an interval, given a small sample
@SeyhmusGüngören Ok but why would it work ? With $n=3$ the bootstrap distribution is "highly discrete". In this situation one cannot expect to achieve a confidence level close to the nominal confidence level.