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Dec
4
comment Independence of an event with null probability with another event.
Example: Suppose X is uniformly distributed on [0,1]. Let A be the event X = 0.6 and let B be the event X > 0.5 Then P(B) = 0.5 and P(B|A) = 1, event though P(A) = 0.
Dec
4
comment Independence of an event with null probability with another event.
What do you find unsatisfactory about it? I find it unsatisfactory from the following point-of-view: If A and B are independent, I excpect P(B|A) = P(B). However, this only makes sense when P(A) is not 0.
Nov
7
comment Unbiased estimates and cluster points
You are right about that. Hmm...I am trying to get a feel for what unbiased means in terms of actual data. I guess I will have to think harder.
Nov
7
asked Unbiased estimates and cluster points
Oct
31
accepted Components of a k-regular bipartite graph
Sep
8
comment Finding the MLE for parameter $\theta$ from distribution of the form $e^{-|x-\theta|}$
What exactly is your first question? For the second question, I would set $\alpha = e^{1/\theta}$, solve for $\theta$, plug that in $f(x|\theta)$ and find the MLE.
Aug
25
comment Polytopes: proving completeness of set of facets
Ah, OK. Maybe this will help: each facet defines a hyperplane and the polytope is the inside region of the intersection of all these hyperplanes. If you have a description of $P$ and the set of facets using hyperplanes, one should be able to check if they are all there.
Aug
25
answered When is linear algebra usually taught
Aug
25
comment Polytopes: proving completeness of set of facets
What do you mean by maximal?
Aug
25
comment Radius of Convergence of this Series
Seems legit. I would have done the same.
Aug
25
comment Finding all $x$ for $\frac{2x - 13}{2x + 3} \lt \frac{15}{x}$
I think that after the first step you can start determining the intervals where $x$ satisfies the inequalities. Draw a number line, mark the points where the denominator is 0 and then test points in between.
Aug
25
comment Complex analysis: Radius of convergence of power series
I would use the fact that cosine is bounded.
Aug
24
comment what is the geometric idea of this theorem?
Isn't this just a generalization of the Mean Value Theorem?
Aug
23
awarded  Yearling
Aug
21
comment Characterization of Almost-Everywhere convergence
Even though you cannot topologize almost everywhere convergence, you can create a convergence space out of it.
Aug
3
comment odd person out game
You have not told us what p is?
Jul
26
comment The Star Trek Problem in Williams's Book
Why not try the problem in the one-dimensional setting and see what happens?
Jul
19
awarded  Critic
Jul
4
comment History of Dual Spaces and Linear Functionals
@MattE I like that explanation. In fact, that is exactly how it was done historically according to the stuff I have read.
Jul
4
comment Finding the point of impact between two object with constant velocity, where only angle is variable
That means there are two variables, the launch-angle of B and its position relative to A. That makes the problem harder. I suggest fixing one of them and solving for the other. Note that the range of A and the range of B must overlap since their paths must at least cross each other.