DocumentCode
2063131
Title
Memoryless individual sequences
Author
Nobel, Andrew B.
Author_Institution
Dept. of Stat., North Carolina Univ., Chapel Hill, NC, USA
fYear
2004
fDate
27 June-2 July 2004
Firstpage
559
Abstract
We establish that memoryless individual sequences share a number of properties with stochastic sequences. The first is an elementary law of large numbers and the second shows that memoryless binary sequences have weakly convergent empirical distributions of every finite order with Bernoulli limits.
Keywords
binary sequences; memoryless systems; Bernoulli limit; binary sequence; empirical distribution; finite order; memoryless individual sequence; stochastic sequence; Binary sequences; Convergence; Gaussian distribution; Probability distribution; Statistics; Stochastic processes;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN
0-7803-8280-3
Type
conf
DOI
10.1109/ISIT.2004.1365599
Filename
1365599
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