Recent submissions

Comment · 9 days ago
How does that help in preventing Google from profiling you?
Comment · 17 days ago
Comment · 2 years ago
Don't have a reference on the top of my head, but the main idea is as follows:

The definition of MGF of a random variable with PDF f(x) is

E[e^{sX}] = int_{-inf}^{inf} f(x) e^{sx} dx

The definition of Laplace Transform of a signal f(t) is

F(s) = int _{-inf}^{inf} f(t) e^{-st} dt

Hence MGF is 'flipped' Laplace transform

Now for we know that the MGF of sum independent RVs is the product of their MGFs. So if we take the inverse Laplace transform, the density of the sum is convolution of the individual densities.

Similarly, if we take derivative in frequency domain, that is same as multiplying in time domain: So M'_X(s) is the 'flipped Laplace transform' of x f(x) and its value at s=0 is the 'DC-gain' of the signal.

And so on... the properties are all immediate consequence of the definition of MGF and since the definition is essentially the same as that of a Laplace transform , there is an equivalent property in signals and systems as well.

Comment · 2 years ago
One can also think of probability generating functions as (flipped) Z transforms, moment generating functions as (flipped Laplace transforms), and characteristic functions as Fourier transforms of the respective PMF/PDF. Lot of their properties then follow from simple properties of Signals and Systems.
Comment · 2 years ago
Is this just risk seeking behavior (in contrast to risk sensitive)
Comment · 2 years ago
They are significantly different!
Comment · 2 years ago
I found their reviews to be a bit too rosy and not highlighting the weak points of the products properly. But I do not find them to be biased.

The most honest source is Voja's My Deep Guide Channel on YouTube. Very detailed and informative reviews.

Comment · 2 years ago
Comment · 2 years ago
FYI: goodereader has a bad reputation in the eink world. Their reviews are fair but their shop is borderline scam.
Comment · 2 years ago
Ratta (SuperNote) does not have front light. At least the A6X that I have. I don't think that the new version (Nomad) has a front light either.
Comment · 2 years ago
'A' can be reused!
Comment · 2 years ago
Therefore, likelihood ratios! (Or log likelihood ratios)
Comment · 3 years ago
It will be fascinating if there were a way for you to record the actual time when you do eat lunch (without the time being revealed to you; say a Rasberry Pi where you press a switch to record current time but it has no display). I am curious how much our body clock synchronizes with real time. I see that in my kids, who don't yet know how to read time. But they are hungry right at noon and 7pm, and will get cranky if they don't get something to eat within 15 min of that. Do adults retain such strong internal body clocks?
Comment · 3 years ago
The same way that one would use markdown :-) (you JS libs or TikZ or Metapost packages).

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