Evolutionary Systems in an Asymptotic Split Phase Space
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 phrasesStochastic evolutionary system Markov process with locally independent increments diffusion approximation split state space dynamic reliability
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