Skip to main content

Consortium for Mathematics and its Applications

Product ID: 99649
Supplementary Print
Undergraduate

Continuous Time, Discrete State Space Markov Chains (UMAP)

Author: Frederick Solomon


This module develops a model for the number of components operating in a multicomponent device. Using the number of bulbs lit in a movie theatre sign as an example, it works toward a general model beginning with the exponential distribution.

Table of Contents:

INTRODUCTION

THE EXPONENTIAL DISTRIBUTION

THE CLASSICAL POISSON DISTRIBUTION

THE GENERAL MARKOV CHAIN WITH TWO STATES

THE GENERAL MARQUEE MODEL

FINAL NOTE AND BIBLIOGRAPHY

©1986 by COMAP, Inc.
UMAP Module
30 pages

Mathematics Topics:

Probability & Statistics , Abstract & Linear Algebra

Application Areas:

Business & Economics , Management Science

Prerequisites:

Matrices; differential equations; Law of Large Numbers and the Central Limit Theorem.

You must have a Full Membership to download this resource.

If you're already a member, login here.

Not yet a member?