Geodesic
Parameters estimates of a~price series model as solution to linear~SDE with a~Poisson component
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 121-129.

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The model of a series of price increments with jumps is constructed based on a linear stochastic differential equation with a Poisson component. The estimates of unknown parameters of the model and SDE are obtained with the help of the method of moments. The algorithm for statistical simulation of the solution to SDE with a Poisson component in a general form is proposed. Some results of the numerical experiments are given. 
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T. A. Averina; M. A. Yakunin. Parameters estimates of a~price series model as solution to linear~SDE with a~Poisson component. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 121-129. http://geodesic.mathdoc.fr/item/SJVM_2009_12_2_a0/

[1] Korolyuk V. S., Portenko N. I., Skorokhod A. V., Turbin A. F., Spravochnik po teorii veroyatnostei i matematicheskoi statistike, Nauka, M., 1985 | MR | Zbl

[2] Averina T. A., “Chislennoe reshenie stokhasticheskikh differentsialnykh uravnenii s puassonovskoi sostavlyayuschei”, Teoriya i prilozheniya stat. modelirovaniya, Sb. nauchnykh trudov, Novosibirsk, 1989, 81–89 | Zbl

[3] Artemev S. S., Yakunin M. A., “Analiz chisla signalov kupli/prodazhi torgovykh algoritmov”, Sib. zhurn. vychisl. matematiki / RAN. Sib. otd-nie. — Novosibirsk, 9:4 (2006), 325–334

[4] Borovkov A. A., Matematicheskaya statistika, Nauka, M., 1984 | MR | Zbl