University Mathematics

As usual, definitions first. The cumulative distribution function (CDF), of a random variable, X, is defined by A discrete random variable, X, has probability mass function (PMF), , if and for [...]

For today, it is going to be a short and simple session on Systematic Sampling, We can effectively consider systematic sampling as a proxy for simple random sampling. We start by taking (rounding [...]

  New year, new you. Be ready to tackle on the new academic year with these awesome resources curated by Donut.sg  You’re welcome. Did we miss anything out? Let us know by leaving a [...]

As some of you observe, I’ve been posting a handful of undergraduate and postgraduate materials or courses here. Some close students also asked me to share more on financial engineering. So [...]

So let us now continue study SRS. Recall in part 3, we introduced the idea of unit inclusion probability. Subsequently, we introduced , which is the sampling weight. The sampling weight of unit i [...]

Merry Christmas and Happy New Year to all the visitors! Thanks for following or reading. 🙂 Personally, Mr Teng has been really busy pursuing his personal interests. On a side note, I thought of [...]

So we formally introduced the estimators used in SRS previously. Now, we are interested in how good our estimators are, and if you recall, by good, I refer to accuracy (MSE), Precision (Variance) [...]

So here is a cheeky question with regards to cryptography, its the basis of public key encryption in Cryptography. I had a student asked about cryptography once, its a really interesting and [...]

Today we shall look at the first sampling method we introduced: Simple Random Sampling. Recall that we mentioned that this is the most basic form of probability sampling since it provides the [...]

So recall that we are interested on the statistical aspects of taking and analysing a sample, and a good sample will be representative in the sense that characteristics of interest in the [...]