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Jan
9
comment Empirical distribution. Problem with changing variables
What meaning to you give to $\int u(x)v(\mathrm dx)$ when $v$ is a function? Did you intend to write $\int u(x)\mathrm d v(x)$?
Jan
9
answered A limit to find without using l'Hôpital's rule - trigonometric functions.
Jan
9
answered Estimation tail of cumulative distribution function of the normal distribution
Jan
9
revised Laplace transform and inverse $\coth$ function
added 20 characters in body
Jan
9
comment Maximum Likelihood estimator for parameter n of sample of m binominals B(n,q)
$\hat n=\sup A$ where $A$ is the set of integers $A=\{n\in\mathbb N\mid n\gt s,\vartheta_n\lt(1-q)^m\}$.
Jan
9
answered Laplace transform and inverse $\coth$ function
Jan
9
answered Maximum Likelihood estimator for parameter n of sample of m binominals B(n,q)
Jan
9
comment Identity for simple 1D random walk
This is excellent. I rewrote marginally the post to avoid the conditioning/deconditioning steps, which (I think) were unnecessary. +1 of course. If no further answer is posted, I plan to "accept" this one in a while.
Jan
9
revised Identity for simple 1D random walk
deleted 303 characters in body
Jan
9
answered law of large numbers and renewal processes
Jan
9
answered Uniform convergence in integrated survival function implies uniform convergence of distribution functions?
Jan
9
comment How does one model independent trials in statistics.
"Attempted Answer 1" simply reports the problem on the determination of a way to "select $n$ elements in the sample space" so that the collection of their images by $X$ is indeed i.i.d. There was some rather exhausting discussions of the idea (and its impracticality), a while ago on the site.
Jan
9
answered Small question about convergence of probalility
Jan
9
comment Characteristic function of Cauchy distribution.
@Danielsen Yep, thanks.
Jan
9
revised Characteristic function of Cauchy distribution.
edited body
Jan
9
answered Expectations of functions of normal random variables
Jan
9
answered stochastic Birth model simulation vs deterministic exponential growth not equal
Jan
9
comment Limit of a sequence (ENS Paris)
@BertrandR Happening to be familiar as well with this examination, I wonder if you are not referring to their program as it was a few years ago. Since then, a rather significant amount of probability stuff was added. Anyway, now that the proof is here, one can hide its probabilistic content and translate everything in purely analytical language (another user seems to try to be doing so at the moment). My opinion is that the resulting solution is only less clear and more cumbersome.
Jan
9
revised Limit of a sequence (ENS Paris)
added 50 characters in body
Jan
8
comment Limit of a sequence (ENS Paris)
@Julien "what is Bernoulli sequence" Independent random variables with Bernoulli distribution. Which can either mean that each has distribution P(X=0)=P(X=1)=1/2 or, like here, P(X=-1)=P(X=1)=1/2.