Universal estimation of directed information via sequential probability assignments Conference Paper uri icon

abstract

  • Abstract: We propose four approaches to estimating the directed information rate between a pair of jointly stationary ergodic processes with the help of universal probability assignments. The four approaches yield estimators with different merits such as nonnegativity and boundedness. We establish consistency of these estimators in various senses and derive near-optimal rates of convergence in the minimax sense under mild conditions. The estimators carry over directly to estimating other information measures of …

publication date

  • January 1, 2012