Strings in Java
Recall that a class is a description of an object type. An object is an instantiation of a class. A class may have one or more constructors, which are called when an object is created. An object variable is essentially …
Author: theoryapp
Static Methods in Java
A static method in a class is a method declared with the static modifier. The following is a class Helper defined with static methods abs() and main(): The signature of the method abs() is: It has the following parts: public: …
Normal, Chi-Squared and Gamma Distributions
Here we show the classical example on how the normal, chi-squared, and gamma distributions are related. If Z_1, \ldots, Z_n are i.i.d. variables with the standard normal distribution, then \sum_{i=1}^n Z_i \sim \chi^2_n. Let X_1, \ldots, X_n \sim \text{Normal}(\mu, \sigma^2) …
Conditional and Marginal Independence
Let A, B, C be three random variables. Consider the following dependency structures modeled with Bayesian networks. A \leftarrow B \rightarrow C A \rightarrow B \rightarrow C A \rightarrow B \leftarrow C The first two cases both say that A …