A formal statistical test of stationary-ergodicity is developed for known Markovian processes on Rd. This makes it applicable to testing models and algorithms, as ...

It is well known that stationary geometrically ergodic Markov chains are β-mixing (absolutely regular) with geometrically decaying mixing coefficients. Furthermore, for initial distributions other ...

Loess Plateau possesses a particular loess physiognomy with numerous ravines and slopes, and tableland is a typical landform in it. Together, the ununiform in both topographic undulation and land ...

In a report published in 1937, Doeblin - who is regarded the father of the "coupling method" - introduced an ergodicity coefficient that provided the first necessary and sufficient condition for the ...