Evolutionary Systems in an Asymptotic Split Phase Space

  • Vladimir S. Korolyuk
  • Nikolaos Limnios
Part of the Statistics for Industry and Technology book series (SIT)


Stochastic evolutionary systems described by processes with locally independent increments are considered with Markov switching in a split state space having a stoppage state. The average and diffusion approximation limit theorems are established. The application of limit theorems in maintenance and reliability problems are discussed.

Keywords and phrases

Stochastic evolutionary system Markov process with locally independent increments diffusion approximation split state space dynamic reliability 


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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Vladimir S. Korolyuk
    • 1
  • Nikolaos Limnios
    • 2
  1. 1.Ukrainian National Academy of ScienceKievUkraine
  2. 2.Université de Technologie de CompiègneFrance

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