Fig 11. 〈Φ〉, maxΦ(N), and minΦ(N) values of time-homogeneous Markov chains with different values of N.
The Φ values were calculated for randomly generated 100 transition probability matrices (TPMs). The shadows indicate the standard deviations.
Official websites use .gov
A
.gov website belongs to an official
government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you've safely
connected to the .gov website. Share sensitive
information only on official, secure websites.