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Dec
15
comment Can a chain with repeated nodes still be considered a Markov chain?
In this spirit, I could also merge the node 1 (lower) and 3 into a single node, is that right?
Dec
15
asked Can a chain with repeated nodes still be considered a Markov chain?
Nov
11
awarded  Yearling
Oct
20
answered Cool little system of equations.
Oct
17
comment Operator for scaling a function?
@T.A.E. the composition operator is incorrect as it does not achieve the task at hand. Perhaps I was ambiguous, but $\alpha$ is a constant real number.
Oct
17
comment Operator for scaling a function?
Not really, we can assume continuity over the entire real line.
Oct
17
asked Operator for scaling a function?
Oct
9
asked Notation for operator that returns square of a function?
Oct
9
accepted What is the difference between a probability distribution on events and random variables?
Oct
5
comment Equivalence relations for $\mathbb{N} \times \mathbb{N}$ question
The equivalence relation partitions $\mathbb{N}^2$, so the elements of the equivalence classes (or blocks of the partition) should indeed be pairs, not 4-tuples.
Oct
4
accepted Proving that a set A cannot contain another set B which contains A?
Oct
3
asked Proving that a set A cannot contain another set B which contains A?
Sep
21
revised Notation for image of a discrete random variable?
changed \mapsto to \to
Sep
21
asked Notation for image of a discrete random variable?
Sep
20
comment Number of outcomes times probability of failure is number of failures?
The original question does not specify that all outcomes are equally likely. Is this implicit somewhere?
Sep
20
comment Number of outcomes times probability of failure is number of failures?
The setup of the experiment is not well-formed. When there are $n!$ possible outcomes, the size of your samples space $|\Omega|=n!$. You then say "$p$ is the probability of failure of all $n$ events", but there are many more than $n$ events.
Sep
20
answered Different Perspectives of Multinomial Theorem & Partitions
Sep
15
accepted Rolling a three sided die six times?
Sep
15
answered Notation for the set created from the combination or permutation of a set
Sep
15
asked Rolling a three sided die six times?