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Lecture Notes in Computer Science: Statistical Causality and Local Solutions of the Stochastic Differential Equations Driven with Semimartingales

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Computational Problems in Science and Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 343))

Abstract

The paper considers a statistical concept of causality in continuous time between filtered probability spaces which is based on Granger’s definition of causality. Then, the given causality concept is connected with a local weak solutions of the stochastic differential equations driven with semimartingales. Also, we establish connection between the local solution and the local weak solution.

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Acknowledgement

The work is supported by the Serbian Ministry of Science and Technology (Grants 044006 and 179005).

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Correspondence to Ljiljana Petrović .

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Petrović, L., Valjarević, D. (2015). Lecture Notes in Computer Science: Statistical Causality and Local Solutions of the Stochastic Differential Equations Driven with Semimartingales. In: Mastorakis, N., Bulucea, A., Tsekouras, G. (eds) Computational Problems in Science and Engineering. Lecture Notes in Electrical Engineering, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-319-15765-8_14

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  • DOI: https://doi.org/10.1007/978-3-319-15765-8_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15764-1

  • Online ISBN: 978-3-319-15765-8

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