Limit Behavior of a Compound Poisson Process with Switching Between Multiple Values

被引:0
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作者
Borodin A.N. [1 ,2 ]
机构
[1] St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
[2] St. Petersburg State University, St. Petersburg
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D O I
10.1007/s10958-021-05579-w
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摘要
The paper deals with the limit behavior of a compound Poisson process with switching between a finite number of sequences of i.i.d. random variables. The switching is provided by Bernoulli’s random variables. Under suitable normalization, the limit process is a Brownian motion with switching variance. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
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页码:764 / 776
页数:12
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