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May
7
revised Maximum period-length in decimal chain-addition?
revise tags
May
7
revised Maximum period-length in decimal chain-addition?
incorporate comments
May
7
comment Maximum period-length in decimal chain-addition?
@HenningMakholm - Thanks for the comments. I had totally missed the fact that the period-length of any $n$-long seed must be a divisor of the period-length of $0^{n-1}1$!
May
7
revised Maximum period-length in decimal chain-addition?
fix typo
May
7
asked Maximum period-length in decimal chain-addition?
May
6
comment Bernoulli String of Luck Question
Maybe this post will help?
May
6
comment Example of uncomputable but definable number
A BB function seems to be quite an overkill for this purpose, since the Halting Problem (or any other undecidable problem) immediately gives such a number as $(0.x_1x_2x_3...)_2$, where $x_i$ is the characteristic function of the corresponding undecidable set. I've posted an answer accordingly.
May
6
answered Example of uncomputable but definable number
May
6
comment The sum of Bernoulli random variable
A related question is "If $x$ is uniformly distributed on the unit interval, then what is the distribution of the binary digits of $x$?"
May
6
comment The sum of Bernoulli random variable
It should be noted that the limit is suggestively written in the form $0.x_1x_2x_3...$ as the base-$2$ representation of a random real number in the unit interval.
May
6
comment The sum of Bernoulli random variable
Are the random variables $x_k$ supposed to be independent?
May
5
comment Probability distribution with n choose r
In that case, your statement "There can be no repeats in the set of n elements, but this is not due to not replacing the element, just how the application works" seems misleading.
May
5
comment Probability distribution with n choose r
So you have a sequence $X_1,...,X_n$ whose elements are independent and identically distributed according to some distribution on $\{a_0, a_1,...,a_{k-1}\}$, and you want to find the probability of the event "the sequence contains $a_0$ and contains no duplicates"? Is that correct?
May
4
revised Is there any short proof of this classical problem?
simplify using just $U=X+Y, V=(X-Y)^2$
May
4
revised Is there any short proof of this classical problem?
deleted 5 characters in body
May
4
answered Is there any short proof of this classical problem?
May
2
revised Moments of a random variable in terms of its cumulative distribution function
oops, need integer $r$ for binomial thm to work as needed
May
2
revised Moments of a random variable in terms of its cumulative distribution function
it's called the generalised binomial thm
May
1
revised Moments of a random variable in terms of its cumulative distribution function
continuous case
May
1
revised Moments of a random variable in terms of its cumulative distribution function
typos