A Note on the Lempel-Ziv Parsing Algorithm under Asymmetric Bernoulli‎ ‎Model

Document Type : Original Scientific Paper


1 Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, I. R. Iran

2 Department of Statistics, Imam Khomeini International University, Qazvin, I. R. Iran


‎In this paper‎, ‎by applying analytic‎ ‎combinatorics‎, ‎we obtain an asymptotics for the t-th moment‎ ‎of the number of phrases of length l in the Lempel-Ziv parsing algorithms built over a string generated by an asymmetric Bernoulli‎ ‎model‎. We show that the t-th moment is approximated by its Poisson transform‎.


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