An Ergodic Process of Zero Divergence-distance from the Class of All Stationary Processes

Journal of Theoretical Probability

Volumn 11, Issue 1, 1998, Pages 181-195

  Xu, Shaogang ^a  

^a UNIVERSITY OF TOLEDO   (United States)

Author keywords

Ergodic process; Stationary process

Indexed keywords

EID: 0032396538     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021651126212     Document Type: Article

References (5)

1. Csiszár, I. and Körner, J. (1981). Information Theory. Coding Theorems for Discrete Memoryless Systems, Akadémiai Kiadö, Budapest.
2. Friedman, N. (1970). Introduction to Ergodic Theory. Van Nostrand Reinhold, New York.
3. Shields, P. (1991). Cutting and stacking: A method for constructing stationary processes, IEEE Trans. Inform. Theory IT-37, 1605-1617.
4. Shields, P. (1993). Two divergence-rate counterexamples, J. Th. Prob. 6, 521-545.
5. Shields, P. (undated). The ergodic theory of discrete sample paths, AMS Graduate Studies in Mathematics, (to appear).