Engineering equations involving correlated variables

[Valdes]

Hello,

I'm carrying out an assignment on the simulation of correlated (random) variables. Can you suggest to me equations pertaining to the field of engineering (or science) that involve correlated variables? My question may sound redundant, because all equations create dependencies between the variables that appear in them, but let me clarify: I'm looking for something of the form of Y = f(X1, ..., Xn) where the Xi's are correlated.

Thanks in advance.

 

[berkeman]

Can you suggest to me equations pertaining to the field of engineering (or science) that involve correlated variables?

Can you give any examples of correlated variables in systems like you are asking about? What are the various types of correlated variables? How can you tell when variables are correlated?

 

[Valdes]

Kinetic energy and speed are examples of correlated quantities. Two variables are correlated, in my sense of the word, if there exists a linear or nonlinear relationship between the two. The degree of correlation is measured by a correlation coefficient. My goal is to study the statistical distribution of some quantity Y = f(X1, ..., Xn) by generating the Xi's (and then generating Y) which are correlated.