From Raw and Central Moments to Standardized Moment

This article serves as a note for me to compile everything I gathered from various sources about statistical moments while trying to make sense of the mathematical relations between each...

Binomial Distribution and Hypergeometric Distribution

Both binomial distribution and hypergeometric distribution is used to measure the probability of having \(k\) successes in \(n\) draws from a population containing \(N\) objects, with \(K\) objects are considered...

Cross-Entropy and Kullback-Leibler Divergence

In the context of information theory, cross-entropy is used to calculate the expected length of code representation for a message given we’re assuming a probability distribution \(q\) of the message’s...

Deriving Poisson Probability Function from Binomial Distribution

The following is the formula to calculate the probability of an event \(X\) happening \(k\) times in a time period given that the rate of occurence of the event in...

Konigsberg Bridge Problem

This article is originally a test page for a few JavaScript libraries and plugins I can use to write code to be processed as rendered graph on the client side....