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Jun
30
comment Laplace-Stieltjes :Functions of independent random variables
The definition of probability generating function is only for discrete random variables taking values in the nonnegative integers.
Jun
30
comment Split Factorial of n
See OEIS sequence oeis.org/A200743
Jun
30
answered Finding the best direction for a bird escape from a radiation (function of 3 parametres)
Jun
30
comment Probability that after 10,000 steps (+-1) you'll end up at the origin. How to use Central Limit Theorem?
No, that's muddled. There is a weak version of de Moivre-Laplace that is a special case of CLT. The strong version of de Moivre-Laplace, that talks about the probability mass function rather than the cumulative distribution, is what we can use here.
Jun
30
revised Using the complex logarithm as a conformal mapping,
added 91 characters in body
Jun
30
answered $\frac{\partial^2 x}{\partial y^2}=\frac{1}{2}\frac{\partial}{\partial y}(\frac{\partial x}{\partial y})^2$
Jun
30
revised Using the complex logarithm as a conformal mapping,
added 63 characters in body
Jun
30
answered Using the complex logarithm as a conformal mapping,
Jun
30
comment Probability that after 10,000 steps (+-1) you'll end up at the origin. How to use Central Limit Theorem?
On the other hand, you could use the de Moivre-Laplace theorem (e.g. in the form Wikipedia gives).
Jun
30
comment Probability that after 10,000 steps (+-1) you'll end up at the origin. How to use Central Limit Theorem?
The correct calculation is that for even $n$, $C(n,n/2)/2^n \sim \sqrt{\dfrac{2}{n\pi}}$ using Stirling's approximation. As Did notes, this is not using central limit theorem.
Jun
29
comment Are polynomials infinitely many times differentiable?
... but that's not what it means, it's just what happens in this case when you keep differentiating.
Jun
29
comment $\frac{\partial^2 x}{\partial y^2}=\frac{1}{2}\frac{\partial}{\partial y}(\frac{\partial x}{\partial y})^2$
When you say $\partial f/\partial y$, are you considering $f$ to be a function of $x$ and $y$ (and maybe other variables)? Then both sides are $0$. But if $x$ is a function of $y$ (and maybe other variables), the equation is true only in some rather special cases.
Jun
29
answered Equivalence of definitions of Gaussian Measure
Jun
29
comment How do I solve for vector $P$ in the matrix equation $s=A'B^{-1}A$?
Sorry, misread the original question.
Jun
29
revised How do I solve for vector $P$ in the matrix equation $s=A'B^{-1}A$?
deleted 243 characters in body
Jun
29
answered Finding closed form for a generating function with different powers of $x$ in parameter
Jun
29
comment Simplest way to integrate this expression : $\int_{-\infty}^{+\infty} e^{-x^2/2} dx$
The value of $\int_{-\infty}^\infty e^{-x^2/2}\; dx$ is just as famous.
Jun
29
answered When is convolution associative?
Jun
29
revised How do I solve for vector $P$ in the matrix equation $s=A'B^{-1}A$?
fixed the title
Jun
29
answered How do I solve for vector $P$ in the matrix equation $s=A'B^{-1}A$?