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Some results on optimal stopping under phase-type distributed implementation delay




TekijätJukka Lempa

KustantajaSPRINGER HEIDELBERG

Julkaisuvuosi2020

JournalMathematical Methods of Operations Research

Tietokannassa oleva lehden nimiMATHEMATICAL METHODS OF OPERATIONS RESEARCH

Lehden akronyymiMATH METHOD OPER RES

Vuosikerta91

Numero3

Aloitussivu559

Lopetussivu583

Sivujen määrä25

ISSN1432-2994

eISSN1432-5217

DOIhttps://doi.org/10.1007/s00186-019-00694-6

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/48730354


Tiivistelmä
We study optimal stopping of strong Markov processes under random implementation delay. By random implementation delay we mean the following: the payoff is not realised immediately when the process is stopped but rather after a random waiting period. The distribution of the random waiting period is assumed to be phase-type. We prove first a general result on the solvability of the problem. Then we study the case of Coxian distribution both in general and with scalar diffusion dynamics in more detail. The study is concluded with two explicit examples.

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Last updated on 2024-26-11 at 22:54