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The CTRW in finance: Direct and inverse problems with some generalizations and extensions

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  • Jaume Masoliver
  • Miquel Montero
  • Josep Perello
  • George H. Weiss

Abstract

We study financial distributions within the framework of the continuous time random walk (CTRW). We review earlier approaches and present new results related to overnight effects as well as the generalization of the formalism which embodies a non-Markovian formulation of the CTRW aimed to account for correlated increments of the return.

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  • Jaume Masoliver & Miquel Montero & Josep Perello & George H. Weiss, 2003. "The CTRW in finance: Direct and inverse problems with some generalizations and extensions," Papers cond-mat/0308017, arXiv.org, revised Nov 2006.
    • Handle: RePEc:arx:papers:cond-mat/0308017
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    Cited by:

    1. Nikita Ratanov, 2008. "Option Pricing Model Based on a Markov-modulated Diffusion with Jumps," Papers 0812.0761, arXiv.org.
    2. Schumer, Rina & Baeumer, Boris & Meerschaert, Mark M., 2011. "Extremal behavior of a coupled continuous time random walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 505-511.
    3. Vallois, Pierre & Tapiero, Charles S., 2007. "Memory-based persistence in a counting random walk process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 303-317.
    4. Jaros{l}aw Klamut & Tomasz Gubiec, 2018. "Directed Continuous-Time Random Walk with memory," Papers 1807.01934, arXiv.org.

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