Logo image
Covariances Between Transient States in Finite Absorbing Markov Chains
Journal article   Peer reviewed

Covariances Between Transient States in Finite Absorbing Markov Chains

Michael Carchidi and Robert Higgins
The College mathematics journal, v 48(1)
01 Jan 2017

Abstract

Markov analysis Mathematics Matrix Numerical analysis
  It is well known that, starting from a transient state in a finite absorbing Markov chain, the mean and variance in the number of visits to any transient state can be expressed in terms of entries in the chain's normal matrix. We show that, starting from a transient state, the covariance in the number of visits to any two transient states can also be expressed in terms of entries in the normal matrix, as can the mean and variance in the total number of visits to all transient states.

Metrics

27 Record Views
1 citations in Scopus

Details

Logo image