Reputation
553
Top tag
Next privilege 1,000 Rep.
Create tags
Badges
2 9
Newest
 Yearling
Impact
~7k people reached

Apr
15
comment Abuse of notation in declaring a variable is a function of another?
This is an intersting idea; how does $y = y \circ id_{X}$ solve the problem? Are you saying that $y$ is a function on the both sides, and that $y(x) = (y \circ id_X) (x)$ for all $x$ (i.e is this a statement of equivalence, rather than assignment)?
Apr
14
comment Notation for a statistic, or function of a random variable
Thank you. This is a point which confuses me to no end in the literature. I usually can understand the author's meaning from context, but when thinking formally about the underlying mathematical objects I end up hopelessly lost.
Apr
14
accepted Notation for a statistic, or function of a random variable
Apr
13
comment Notation for a statistic, or function of a random variable
Does that mean $S$ is not a statistic? It is a function on real numbers, not random outcomes.
Apr
13
asked Notation for a statistic, or function of a random variable
Apr
4
comment 3 Variables, One Equation
Try this idea: $x(x-7) + y(y-7) + z(z-7) = 0$. This has 56 integer solutions. Its a sphere.
Apr
3
accepted Abstract Integration in Elementary Probability Theory
Apr
3
comment Abstract Integration in Elementary Probability Theory
Thank you. I understand the technical definitions of integration of $X$ with respect to $\mathbb{P}$. When $X$ has a density $f$, the expectation $\int_{x \in Im(X)} x f(x)dx$ is commonly explained as a weighted sum of the values $x$ that $X$ can take, where the value $f(x)dx$ is the probability that $X$ is in the neighborhood of $x$, or approximately $\mathbb{P}(X \in [x, x+dx])$
Apr
2
asked Abstract Integration in Elementary Probability Theory
Mar
20
suggested rejected edit on General Solution to a Specific Problem
Mar
20
answered General Solution to a Specific Problem
Mar
19
revised General Solution to a Specific Problem
mathjax rather than html
Mar
19
suggested approved edit on General Solution to a Specific Problem
Mar
18
comment General Solution to a Specific Problem
OK, can you share your ideas as to how you derived $P(X=x)$? It is not correct as written.
Mar
18
comment General Solution to a Specific Problem
is this a homework problem?
Mar
11
comment Interpreting the expected value as an abstract integral?
Spelling mistake.
Mar
11
revised Interpreting the expected value as an abstract integral?
deleted 4 characters in body
Mar
11
accepted Interpreting the expected value as an abstract integral?
Mar
11
asked Interpreting the expected value as an abstract integral?
Feb
20
comment Mathematical justification for incorporating a conditional event in expectation?
This is a great answer. In particular, expressing the random variable $g(N) = I_k(N)$, and the equality in step 3, were profoundly insightful.