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math.PR2007★ 23 cited
Asymptotic normality for the counting process of weak records and δ-records in discrete models
Raúl Gouet, F. Javier López, Gerardo Sanz
Let be a sequence of independent and identically distributed random variables, taking non-negative integer values, and call a -record if $X_n>\max\{X_1,...…
math.PR2006★ 3 cited
Dualities for Multi-State Probabilistic Cellular Automata
F. J. Lopez, G. Sanz, M. Sobottka
In this paper a new form of duality for probabilistic cellular automata (PCA) is introduced. Using this duality, an ergodicity result for processes having a dual is proved. Also, c…