Title :
Memoryless individual sequences
Author :
Nobel, Andrew B.
Author_Institution :
Dept. of Stat., North Carolina Univ., Chapel Hill, NC, USA
fDate :
27 June-2 July 2004
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;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365599
