Approximation of the first passage time distribution for the birth-death processes
Aleksejus Kononovicius and
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We propose a general method to obtain approximation of the first passage time distribution for the birth-death processes. We rely on the general properties of birth-death processes, Keilson's theorem and the concept of Riemann sum to obtain closed-form expressions. We apply the method to the three selected birth-death processes and the sophisticated order-book model exhibiting long-range memory. We discuss how our approach contributes to the competition between spurious and true long-range memory models.
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Published in Journal of Statistical Mechanics 2019: 073402 (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1902.00924
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