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A conditionally sure ergodic theorem with an application to percolation

Keane, Michael; Takei, Masato - In: Stochastic Processes and their Applications 124 (2014) 11, pp. 3651-3660

We prove an apparently new type of ergodic theorem, and apply it to the site percolation problem on sparse random …

Persistent link: https://www.econbiz.de/10011065007

Subadditive ergodic theorems for random sets in infinite dimensions

Hansen, Jennie C.; Hulse, Paul - In: Statistics & Probability Letters 50 (2000) 4, pp. 409-416

We prove pointwise and mean versions of the subadditive ergodic theorem for superstationary families of compact, convex …

Persistent link: https://www.econbiz.de/10005259186

Ergodic and light traffic properties of a complex repairable system

Kovalenko, Igor - In: Mathematical Methods of Operations Research 45 (1997) 3, pp. 387-409

A repairable system is composed of components ofI types. A component can be loaded, put on standby, queued or repaired. The repair facility is here assumed to be a queueing system of a rather general structure though interruption of repairs is not allowed. Typei components possess a lifetime...

Persistent link: https://www.econbiz.de/10010999902