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Waiting-times and returns in high-frequency financial data: an empirical study
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Cited by:
- Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2009.
"Detrended fluctuation analysis of intertrade durations,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 433-440.
- Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Detrended fluctuation analysis of intertrade durations," Papers 0806.2444, arXiv.org.
- Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2004.
"Anomalous waiting times in high-frequency financial data,"
Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 695-702.
- Enrico Scalas & Rudolf Gorenflo & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2003. "Anomalous waiting times in high-frequency financial data," Papers cond-mat/0310305, arXiv.org.
- Enrico Scalas & Rudolf Gorenflo & Hugh Luckock & Francesco Mainardi & Maurizio Mantelli & Marco Raberto, 2005. "Anomalous waiting times in high-frequency financial data," Papers physics/0505210, arXiv.org.
- Greenwood, Priscilla E. & Schick, Anton & Wefelmeyer, Wolfgang, 2011. "Estimating the inter-arrival time density of Markov renewal processes under structural assumptions on the transition distribution," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 277-282, February.
- Scalas, Enrico & Politi, Mauro, 2012.
"A parsimonious model for intraday European option pricing,"
Economics Discussion Papers
2012-14, Kiel Institute for the World Economy (IfW Kiel).
- Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
- Viktor Stojkoski & Trifce Sandev & Lasko Basnarkov & Ljupco Kocarev & Ralf Metzler, 2020. "Generalised geometric Brownian motion: Theory and applications to option pricing," Papers 2011.00312, arXiv.org.
- Treena Basu, 2015. "A Fast O ( N log N ) Finite Difference Method for the One-Dimensional Space-Fractional Diffusion Equation," Mathematics, MDPI, vol. 3(4), pages 1-13, October.
- Straka, P. & Henry, B.I., 2011. "Lagging and leading coupled continuous time random walks, renewal times and their joint limits," Stochastic Processes and their Applications, Elsevier, vol. 121(2), pages 324-336, February.
- Enrico Scalas, 2006.
"Five Years of Continuous-time Random Walks in Econophysics,"
Lecture Notes in Economics and Mathematical Systems, in: Akira Namatame & Taisei Kaizouji & Yuuji Aruka (ed.), The Complex Networks of Economic Interactions, pages 3-16,
Springer.
- Enrico Scalas, 2005. "Five Years of Continuous-time Random Walks in Econophysics," Finance 0501005, University Library of Munich, Germany.
- Enrico Scalas, 2005. "Five Years of Continuous-time Random Walks in Econophysics," Papers cond-mat/0501261, arXiv.org.
- Cappellini, Alessandro & Ferraris, Gianluigi, 2007.
"Waiting Times in Simulated Stock Markets,"
MPRA Paper
7324, University Library of Munich, Germany.
- Alessandro Cappellini & Gianluigi Ferraris, 2008. "Waiting Times in Simulated Stock Markets," Papers 0802.3291, arXiv.org.
- Shapoval, A., 2010. "Prediction problem for target events based on the inter-event waiting time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5145-5154.
- Xing, Zhiyong & Wen, Liping, 2019. "Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 155-166.
- Staccioli, Jacopo & Napoletano, Mauro, 2021.
"An agent-based model of intra-day financial markets dynamics,"
Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 331-348.
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra-day financialmarkets dynamics," SciencePo Working papers Main hal-03471566, HAL.
- Jacopo Staccioli & Mauro Napoletano, 2021. "An agent-based model of intra-day financial markets dynamics," Post-Print halshs-03046657, HAL.
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra-day financialmarkets dynamics," Working Papers hal-03471566, HAL.
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra-day financial markets dynamics," LEM Papers Series 2018/12, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Jacopo Staccioli & Mauro Napoletano, 2018. "An agent-based model of intra day financial markets dynamics," Documents de Travail de l'OFCE 2018-34, Observatoire Francais des Conjonctures Economiques (OFCE).
- Jacopo Staccioli & Mauro Napoletano, 2021. "An agent-based model of intra-day financial markets dynamics," SciencePo Working papers Main halshs-03046657, HAL.
- Scalas, Enrico & Kaizoji, Taisei & Kirchler, Michael & Huber, Jürgen & Tedeschi, Alessandra, 2006.
"Waiting times between orders and trades in double-auction markets,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 463-471.
- Enrico Scalas & Taisei Kaizoji & Michael Kirchler & Juergen Huber & Alessandra Tedeschi, 2006. "Waiting times between orders and trades in double-auction markets," Papers physics/0608273, arXiv.org.
- Meerschaert, Mark M. & Scheffler, Hans-Peter, 2008. "Triangular array limits for continuous time random walks," Stochastic Processes and their Applications, Elsevier, vol. 118(9), pages 1606-1633, September.
- G. D'Amico & F. Petroni & F. Prattico, 2013. "Semi-Markov Models in High Frequency Finance: A Review," Papers 1312.3894, arXiv.org.
- Torricelli, Lorenzo, 2020. "Trade duration risk in subdiffusive financial models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
- Ponta, Linda & Trinh, Mailan & Raberto, Marco & Scalas, Enrico & Cincotti, Silvano, 2019.
"Modeling non-stationarities in high-frequency financial time series,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 173-196.
- Linda Ponta & Mailan Trinh & Marco Raberto & Enrico Scalas & Silvano Cincotti, 2012. "Modeling non-stationarities in high-frequency financial time series," Papers 1212.0479, arXiv.org, revised Feb 2017.
- Liu, Haiyu & Lü, Shujuan, 2019. "Galerkin spectral method for nonlinear time fractional Cable equation with smooth and nonsmooth solutions," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 32-47.
- Wael W. Mohammed & Mohammed Alshammari & Clemente Cesarano & Sultan Albadrani & M. El-Morshedy, 2022. "Brownian Motion Effects on the Stabilization of Stochastic Solutions to Fractional Diffusion Equations with Polynomials," Mathematics, MDPI, vol. 10(9), pages 1-9, April.
- Scalas, Enrico, 2007.
"Mixtures of compound Poisson processes as models of tick-by-tick financial data,"
Chaos, Solitons & Fractals, Elsevier, vol. 34(1), pages 33-40.
- Enrico Scalas, 2006. "Mixtures of compound Poisson processes as models of tick-by-tick financial data," Papers physics/0608217, arXiv.org.
- Amin, Rohul & Ahmad, Hijaz & Shah, Kamal & Bilal Hafeez, M. & Sumelka, W., 2021. "Theoretical and computational analysis of nonlinear fractional integro-differential equations via collocation method," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
- Qu, Wei & Li, Zhi, 2021. "Fast direct solver for CN-ADI-FV scheme to two-dimensional Riesz space-fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 401(C).
- repec:spo:wpmain:info:hdl:2441/5mqflt6amg8gab4rlqn6sbko4b is not listed on IDEAS
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Dynamic intersectoral models with power-law memory," Papers 1712.09087, arXiv.org.
- Wael W. Mohammed & Meshari Alesemi & Sahar Albosaily & Naveed Iqbal & M. El-Morshedy, 2021. "The Exact Solutions of Stochastic Fractional-Space Kuramoto-Sivashinsky Equation by Using ( G ′ G )-Expansion Method," Mathematics, MDPI, vol. 9(21), pages 1-10, October.
- repec:hal:spmain:info:hdl:2441/5mqflt6amg8gab4rlqn6sbko4b is not listed on IDEAS
- José A. Tenreiro Machado & Maria Eugénia Mata & António M. Lopes, 2020. "Fractional Dynamics and Pseudo-Phase Space of Country Economic Processes," Mathematics, MDPI, vol. 8(1), pages 1-17, January.
- Xian, Jun & Yan, Xiong-bin & Wei, Ting, 2020. "Simultaneous identification of three parameters in a time-fractional diffusion-wave equation by a part of boundary Cauchy data," Applied Mathematics and Computation, Elsevier, vol. 384(C).
- 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.
- Masoliver, Jaume & Montero, Miquel & Perello, Josep & Weiss, George H., 2006.
"The continuous time random walk formalism in financial markets,"
Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 577-598, December.
- Jaume Masoliver & Miquel Montero & Josep Perello, "undated". "The continuous time random walk formalism in financial markets," Modeling, Computing, and Mastering Complexity 2003 24, Society for Computational Economics.
- J. Masoliver & M. Montero & J. Perello & G. H. Weiss, 2006. "The continuous time random walk formalism in financial markets," Papers physics/0611138, arXiv.org.
- Yonggang Chen & Yu Qiao & Xiangtuan Xiong, 2022. "Regularization Error Analysis for a Sideways Problem of the 2D Nonhomogeneous Time-Fractional Diffusion Equation," Mathematics, MDPI, vol. 10(10), pages 1-14, May.
- Zhang, Z.Q. & Wei, T., 2013. "An optimal regularization method for space-fractional backward diffusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 92(C), pages 14-27.
- Jiang, Zhi-Qiang & Chen, Wei & Zhou, Wei-Xing, 2008.
"Scaling in the distribution of intertrade durations of Chinese stocks,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5818-5825.
- Zhi-Qiang Jiang & Wei Chen & Wei-Xing Zhou, 2008. "Scaling in the distribution of intertrade durations of Chinese stocks," Papers 0804.3431, arXiv.org, revised Apr 2008.
- Taohua Liu & Xiucao Yin & Yinghao Chen & Muzhou Hou, 2023. "A Second-Order Accurate Numerical Approximation for a Two-Sided Space-Fractional Diffusion Equation," Mathematics, MDPI, vol. 11(8), pages 1-15, April.
- Owolabi, Kolade M. & Gómez-Aguilar, J.F., 2018. "Numerical simulations of multilingual competition dynamics with nonlocal derivative," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 175-182.
- Langlands, T.A.M., 2006. "Solution of a modified fractional diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 136-144.
- Wael W. Mohammed & Naveed Iqbal & Thongchai Botmart, 2022. "Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions," Mathematics, MDPI, vol. 10(1), pages 1-14, January.
- Guglielmo D'Amico & Filippo Petroni, 2012. "Weighted-indexed semi-Markov models for modeling financial returns," Papers 1205.2551, arXiv.org, revised Jun 2012.
- Yang, Hong & Lao, Cheng-Xue & She, Zi-Hang, 2023. "Fast solution methods for Riesz space fractional diffusion equations with non-separable coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
- Hamid, M. & Usman, M. & Haq, R.U. & Wang, W., 2020. "A Chelyshkov polynomial based algorithm to analyze the transport dynamics and anomalous diffusion in fractional model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
- Feng, L.B. & Zhuang, P. & Liu, F. & Turner, I., 2015. "Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 52-65.
- Plamen Ch Ivanov & Ainslie Yuen & Pandelis Perakakis, 2014. "Impact of Stock Market Structure on Intertrade Time and Price Dynamics," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-14, April.
- Guglielmo D'Amico & Filippo Petroni, 2011. "A semi-Markov model with memory for price changes," Papers 1109.4259, arXiv.org, revised Dec 2011.
- Ni, Xiao-Hui & Jiang, Zhi-Qiang & Gu, Gao-Feng & Ren, Fei & Chen, Wei & Zhou, Wei-Xing, 2010.
"Scaling and memory in the non-Poisson process of limit order cancelation,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2751-2761.
- Xiao-Hui Ni & Zhi-Qiang Jiang & Gao-Feng Gu & Fei Ren & Wei Chen & Wei-Xing Zhou, 2009. "Scaling and memory in the non-poisson process of limit order cancelation," Papers 0911.0057, arXiv.org.
- Meerschaert, Mark M. & Scalas, Enrico, 2006.
"Coupled continuous time random walks in finance,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 114-118.
- Mark M. Meerschaert & Enrico Scalas, 2006. "Coupled continuous time random walks in finance," Papers physics/0608281, arXiv.org.
- Ruan, Yong-Ping & Zhou, Wei-Xing, 2011.
"Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1646-1654.
- Yong-Ping Ruan & Wei-Xing Zhou, 2010. "Long-term correlations and multifractal nature in the intertrade durations of a liquid Chinese stock and its warrant," Papers 1008.0160, arXiv.org.
- Berardi, Luca & Serva, Maurizio, 2005. "Time and foreign exchange markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 403-412.
- Zhang, Zhikun & Dai, Min & Wang, Xiangjun, 2023. "Statistical inference for mixed jump processes by Markov switching model with application to identify seismicity levels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
- Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
- Scalas, Enrico & Viles, Noèlia, 2014. "A functional limit theorem for stochastic integrals driven by a time-changed symmetric α-stable Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 385-410.
- Tarasov, Vasily E., 2020. "Fractional econophysics: Market price dynamics with memory effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
- Cen, Zhongdi & Le, Anbo & Xu, Aimin, 2017. "A robust numerical method for a fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 445-452.
- Meerschaert, Mark M. & Mortensen, Jeff & Wheatcraft, Stephen W., 2006. "Fractional vector calculus for fractional advection–dispersion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 181-190.
- Jaros{l}aw Klamut & Tomasz Gubiec, 2018. "Directed Continuous-Time Random Walk with memory," Papers 1807.01934, arXiv.org.
- Yang, Fan & Fu, Chu-Li & Li, Xiao-Xiao, 2018. "The method of simplified Tikhonov regularization for a time-fractional inverse diffusion problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 219-234.
- Valentina V. Tarasova & Vasily E. Tarasov, 2017. "Concept of dynamic memory in economics," Papers 1712.09088, arXiv.org.
- Mariano González-Sánchez & Eva M. Ibáñez Jiménez & Ana I. Segovia San Juan, 2021. "Market and Liquidity Risks Using Transaction-by-Transaction Information," Mathematics, MDPI, vol. 9(14), pages 1-14, July.
- Zhang, Hui & Jiang, Xiaoyun & Yang, Xiu, 2018. "A time-space spectral method for the time-space fractional Fokker–Planck equation and its inverse problem," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 302-318.
- She, Zi-Hang & Qiu, Li-Min & Qu, Wei, 2023. "An unconditionally convergent RSCSCS iteration method for Riesz space fractional diffusion equations with variable coefficients," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 633-646.
- Guglielmo D'Amico & Filippo Petroni, 2020. "A micro-to-macro approach to returns, volumes and waiting times," Papers 2007.06262, arXiv.org.
- Raberto, Marco & Cincotti, Silvano, 2005. "Modeling and simulation of a double auction artificial financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 34-45.
- Guglielmo D'Amico & Filippo Petroni, 2013. "Multivariate high-frequency financial data via semi-Markov processes," Papers 1305.0436, arXiv.org.
- Scalas, Enrico, 2006. "The application of continuous-time random walks in finance and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 225-239.
- Vasily E. Tarasov & Valentina V. Tarasova, 2019. "Dynamic Keynesian Model of Economic Growth with Memory and Lag," Mathematics, MDPI, vol. 7(2), pages 1-17, February.
- Repetowicz, Przemysław & Richmond, Peter, 2004. "Modeling of waiting times and price changes in currency exchange data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 677-693.
- Alqhtani, Manal & Owolabi, Kolade M. & Saad, Khaled M. & Pindza, Edson, 2022. "Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
- D’Amico, Guglielmo & Janssen, Jacques & Manca, Raimondo, 2009. "European and American options: The semi-Markov case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3181-3194.
- Zeid, Samaneh Soradi, 2019. "Approximation methods for solving fractional equations," Chaos, Solitons & Fractals, Elsevier, vol. 125(C), pages 171-193.
- Lin Zhu, 2019. "A Second-Order Uniformly Stable Explicit Asymmetric Discretization Method for One-Dimensional Fractional Diffusion Equations," Complexity, Hindawi, vol. 2019, pages 1-12, May.
- Bernardo Spagnolo & Davide Valenti, 2008. "Volatility Effects on the Escape Time in Financial Market Models," Papers 0810.1625, arXiv.org.
- Przemyslaw Repetowicz & Peter Richmond, 2004. "Pricing of options on stocks driven by multi-dimensional operator stable Levy processes," Papers math-ph/0412071, arXiv.org, revised Feb 2005.
- Ren, Jincheng & Sun, Zhi-zhong, 2015. "Maximum norm error analysis of difference schemes for fractional diffusion equations," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 299-314.