Mathematics

We at The Culture have been receiving calls recently since the start of the J1 orientation program about our tuition program. This post is a shoutout to those students who are interested in the [...]

I came across this interesting algebra/ arithmetic problem the other day. … Do you think this will always work? Hint: We can use algebra to prove this cool sequence easily. Arithmetic [...]

This is really important for anyone interested in Finance Modelling. As what the movie Wolf on Wall Street says: They are referring to a geometric brownian motion. Firstly, we will begin with the [...]

Show that . Hence show that For the first part, we can simply apply Euler’s Formula, that is The next part is a little more tricky, and since its hence, we will use what we solved [...]

Lets look at brownian motion now. And yes, its the same as what our high school teachers taught about the particles moving in random motion. Here, we attempt to give it a proper structure and [...]

Today, we shall look at regression estimation. We will begin by looking at the usual & simple straight line regression model: . Let and by the ordinary least squares (OLS) regression [...]

So I understand that I lost many readers for the Sampling uploads.It is a bit difficult to the intensive use of notations and also the need for statistics knowledge. So here I’ll review a [...]

Sampling & Survey #1 – Introduction Sampling & Survey #2 – Simple Probability Samples Sampling & Survey #3 – Simple Random Sampling Sampling & Survey #4 [...]

This is a rather important topics for anyone interested in doing Finance. Lets look at their definition first. A Martingale is a random process with respect to the information filtration and the [...]

So last time we saw STR and here is a quick recap. Set the stratification scheme Set the stratum design Implement the sampling methods for each stratum independently Pool the strum estimates to [...]