PaCAL - ProbAbilistic CALculator - Gallery

General examples


Demo of Central Limit Theorem

Distributions with singularities

Physical measurements

Statistical applications


Hill's tail exponent estimator

Noncentral distributions

Examples from Algebra of Random Variables by M.D. Springer


Chapter 3 - sums

Chapter 4 - products (PDF)

Chapter 5 - functions of r.v.'s

Chapters 6,7,8

Chapter 9 - applications

Two dependent random variables


Parallel connection of two resistors

Sums of two dependent random variables

Joint distribution of two order statistics

Regression of one dependent variable on another

Dependent random variables (beta)


Joint distribution of linear regression coefficients

Joint distribution of a parameter and initial value of a differential equation

Nongaussian Kalman filter