Title :
A sufficient condition of nonergodicity of a Markov chain (Corresp.)
fDate :
7/1/1979 12:00:00 AM
Abstract :
A natural and easily verifiable sufficient condition is given for the nonergodicity of a Markov chain. The result provides a converse to a theorem of Pakes and implies as special cases several recently published sufficient conditions for the instability of various forms of slotted ALOHA systems with Markovian retransmissions.
Keywords :
Markov processes; Packet switching; Business; Phase estimation; Stability; State-space methods; Statistical distributions; Statistics; Stochastic processes; Sufficient conditions; White noise;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.1979.1056059
