Simulation for Stochastic Models

This page serves as an index to the collection of pages relating to Simulation for Stochastic Models.

0 General Topics Documentation and Audit Trails
Excel worksheet functions
Excel variable names
Data tables
Controls
1 Pseudo-random numbers Excel's built-in generator
The Linear Congruential Generator
Additional sequences
2 Random walks The simple random walk
SRW with barriers
Random walk with continuous increments
General discrete distribution for increments
Multiple runs
3 Markov chains in discrete time The transition matrix
The LOOKUP function
Observed average discount
Array functions
Matrix inversion
Other things to do
4 Poisson processes The standard Poisson process
The compound Poisson process
The surplus process and ruin
5 Markov jump processes The continuous-time Markov jump process
The generator matrix
Transition rates and jump chain transition probabilities
Simulating the process