But moment picking is tricky too.

This is the second part of the story that I started with the previous post. Wanting to build a quick counterexample, I wondered if I can create a random variable by solving the moment problem with only finite non-zero moments. In the language of the moment problem, my sequence was such that for all greater than some number . That is, only finite elements of … Continue reading But moment picking is tricky too.

Solving a problem by adding 0 and multiplying by 1

Has it ever occurred to you that when solving a problem, a non-trivial step might make the problem trivial? Well, if you are a mathematician, it probably has. The only difference might be the number of steps needed to turn the problem into something easier. Take for example the following problem which I solved yesterday in a forum on which I have the privilege to … Continue reading Solving a problem by adding 0 and multiplying by 1

Kinds of convergence for sequences of random variables

This is a quick post on the different kinds of convergence that a sequence of random variable can have in a probability space. Let us suppose that we have a sequence of random variables , in a probability space .   is the probability space, is the σ-algebra of measurable sets and P is the probability measure. First of all, here’s a list of the … Continue reading Kinds of convergence for sequences of random variables

Adding past infinity : A mathematician’s point of view

In case you didn’t know, I’m a fan of the short youtube videos given by the user minutePhysics. The guy has a knack for exploring and explaining physics concepts in a simple way. But let’s cut to the chase. In one of his videos, he makes the following claim : You can see that video here. Of course, the internet does not forgive “errors” easily. … Continue reading Adding past infinity : A mathematician’s point of view