Abstract: In this chapter, the authors discuss sample spaces, basic probability theory and random variables. Conditional probability leads to tree diagrams and the Bayes formula. Bernoulli trials pave ...

Colorblindness is caused by a recessive gene on the X chromosome. Since men have only one X chromosome, if a man carries the colorblindness allele (gene form), he will have the trait. Women have two X ...

A courseware module that covers the fundamental concepts in probability theory and their implications in data science. Topics include probability, random variables, and Bayes' Theorem.

This note suggests that expressing a distribution function as a mixture of suitably chosen distribution functions leads to improved methods for generating random variables in a computer. The idea is ...

The notion of a proposition as a set of possible worlds or states occupies central stage in probability theory, semantics and epistemology, where it serves as the fundamental unit both of information ...

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...

In this repo, I prensent you a tool that can make samples from a random variable given by it's density fuunction. The density function can be whatever you want even thought i has a finite integral il ...

Abstract: We study moderate deviations for the randomly weighted sums, where the primary random variables are consistently-varying-tailed, the weights have two-sided bounds, and the linear Hawkes ...

Random forest and similar Machine Learning techniques are already used to generate spatial predictions, but spatial location of points (geography) is often ignored in the modeling process. Spatial ...