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2d
revised References for information theoretic statistical tools
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2d
revised References for information theoretic statistical tools
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2d
comment References for information theoretic statistical tools
If I went through them all properly and hadn't seen any of the material before it would take me at least a year and change of very concentrated effort. Although, I've already seen a lot of the material before and I won't have to become a pro in any of those fields. Those books are just the groundwork I imagine this theory builds off of.
2d
revised References for information theoretic statistical tools
added 5 characters in body
2d
revised References for information theoretic statistical tools
added 5 characters in body
2d
asked References for information theoretic statistical tools
Feb
4
comment Justify or provide counterexamples
This wouldn't be a bad question of the title were more detailed. "I believe both the statements are false. I am not able to come up with counterexamples." We have all been there...
Feb
2
comment Consider the sequence of positive integers An, for n ≥ 1, defined by $A_n = 10^{2^n} + 1$.
"No." ${}{}{}{}$
Feb
2
comment why the concepts of partial derivatives and differentiability need a open set?
The idea of differentiability tells us about how a function behaves near a point, and in the usual topology on $\mathbf{R}^n$, open sets guarantee that there is a neighborhood in the domain to talk about. It is not clear in general what a derivative should represent at boundary points or worse, isolated points of a domain. (Although in some cases it can make sense to define these things, for instance if the derivative is bounded and continuous)
Feb
2
revised Cartesian product of two graph's sets of edges
added 6 characters in body
Feb
2
revised Cartesian product of two graph's sets of edges
added 6 characters in body
Jan
29
answered how many $7$ digit numbers can be formed using $1,2,3,4,5,6,7,8,9,0$
Jan
29
revised Tough probability distribution question with integral over sample space not 1
added 158 characters in body
Jan
29
answered Tough probability distribution question with integral over sample space not 1
Jan
29
comment Why the following integral is Riemann integrable but not Lebesgue integrable?
You can define it that way, but in alternative definitions, you can say it's Riemann integrable in limit over a set $A$ if you can find a sequence of growing subsets $(S_i),\ S_i\subseteq S_{i+1} \subseteq A$ where $A\backslash (\cup_{i=1}^\infty S_i)$ has volume $0$, and $\lim_{i\rightarrow \infty}\int_{S_i} f(x) dx $ exists. But it's cumbersome and at that point you might as well start talking about principal values and measure.
Jan
29
comment Why the following integral is Riemann integrable but not Lebesgue integrable?
It makes sense, but only in limit. The problem happens along the line $y=x$ where if $x \uparrow y$, then $f(x,y)\downarrow -\infty,$ but if $x\downarrow y$ then $f(x,y) \uparrow \infty$
Jan
29
answered Why the following integral is Riemann integrable but not Lebesgue integrable?
Jan
8
revised Quick way to describe a 'top 10' subset
deleted 55 characters in body
Jan
7
comment Quick way to describe a 'top 10' subset
Here's my clunky definition: Fix $a$ and let $g(x):=|f(x)-a|.$ Define some ordering on $\mathcal{X}$ where $g(x_{i+1})\geq g(x_i)$ for $i=1,\dots,|\mathcal{X}|.$ Such an ordering can be shown to exist for any finite $\mathcal{X}$. Then let $S_N(a):=\{x_1,\dots,x_N\}$.
Jan
7
asked Quick way to describe a 'top 10' subset