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Compensating operator 1 Historical processes 1 Locally infinitely divisible 1 Weak convergence 1
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Yang, Xiangfeng 1
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Stochastic Processes and their Applications 1
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Limit theorems with asymptotic expansions for stochastic processes
Yang, Xiangfeng - In: Stochastic Processes and their Applications 123 (2013) 1, pp. 131-155
In this paper, we consider some families of one-dimensional locally infinitely divisible Markov processes {ηtϵ}0≤t≤T with frequent small jumps. For a smooth functional F(x[0,T]) on space D[0,T], the following asymptotic expansions for expectations are proved: as...
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