On distribution of number of trades in different time windows in the stock market

Physica A: Statistical Mechanics and its Applications

Volumn 353, Issue 1-4, 2005, Pages 388-402

  Dremin, I M ^a   Leonidov, A V ^a,b  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; COSTS; DATA REDUCTION; DYNAMICS; FUNCTIONS; MATHEMATICAL MODELS; STATISTICAL METHODS;

CAPITAL; ECONOPHYSICS; MOMENTS; STOCK MARKET;

ECONOMICS;

EID: 18844379430     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2004.12.048     Document Type: Article

References (32)

1. R.N. Mantegna, H.E. Stanley, An Introduction to Econophysics, Cambridge, 2000.
2. J.-P. Bouchaud, M. Potters, Theory of Financial Risk and Derivative Pricing, Cambridge, 2003.
3. M.M. Dracorogna, R. Gencay, U. Muller, R.B. Olsen, and O.V. Pictet An Introduction to High Frequency Finance 2001 Academic Press New York
4. J. Voit The Statistical Mechanics of Financial Markets 2003 Springer Berlin
5. V. Plerou, P. Gopikrishnan, L.A. Nunes Amaral, X. Gabaix, and H.E. Stanley Economic fluctuations and diffusion Phys. Rev. E 62 2000 R3023 e-print arXiv:cond-mat/9912051
6. G. Bonanno, F. Lillo, and R. Mantegna Dynamics of the number of trades of financial securities Physica A 280 2000 136 e-print arXiv:cond-mat/9912006
7. Z. Eisler, J. Kertesz, S.-H. Yook, A.-L. Barbasi, Multiscaling and non-universality in fluctuations of driven complex systems, e-print arXiv:cond-mat/0408409.
8. A. Leonidov Long memory in stock trading Int. J. Theor. Appl. Finance 7 2004 1 e-print arXiv:cond-mat/0303222
9. A. Leonidov, On non-Markovian nature of stock trading, e-print arXiv:cond-mat/0403469.
10. E.A. De Wolf, I.M. Dremin, and W. Kittel Scaling laws for density correlations and fluctuations Phys. Rep. 270 1996 1 e-print arXiv: hep-ph/9508325
11. I.M. Dremin, J.W. Gary Hadron Multiplicities Phys. Rep. 349 2001 331 e-print arXiv:hep-ph/0004215
12. I.M. Dremin, and V.A. Nechitailo Average multiplicities in gluon and quark jets in higher-order perturbative QCD Mod. Phys. Lett. A 9 1994 1471
13. I.M. Dremin, and R.C. Hwa Average multiplicities in gluon and quark jets as exact solution of QCD equations Phys. Lett. B 324 1994 447
14. A. Bialas, and R. Peschanski Moments of rapidity distributions as a measure of short-range fluctuations in high-energy collisions Nucl. Phys. B 273 1986 703
15. W. Ochs, and J. Wosiek Multiparton correlations in QCD jets Phys. Lett. B 289 1992 159
16. W. Ochs, and J. Wosiek Multiparton correlations and fractal structure in QCD jets Phys. Lett. B 395 1993 144
17. Yu.L. Dokshitzer, and I.M. Dremin Multiplicity fluctuations within small phase space bins in QCD Nucl. Phys. B 402 1993 139
18. Ph. Brax, J.-L. Meunier, and R. Peschanski Angular intermittency in QCD jets Z. Phys. C 62 1994 649 e-print arXiv:hep-ph/9302249
19. A. Arneodo, J.-F. Muzy, and D. Sornette Causal cascade in the stock market from the 'infrared' to the 'ultraviolet' Eur. Phys. J. B 2 1998 277 e-print arXiv:cond-mat/9708012
20. J.-F. Muzy, J. Delour, and E. Bacry Modelling fluctuations of financial time series from cascade process to stochastic volatility model Eur. Phys. J. B 17 2000 537 e-print arXiv:cond-mat/0005400
21. E. Bacry, J. Delour, and J.-F. Muzy Modelling financial time series using multifractal random walk Physica A 299 2001 294
22. J.-P. Bouchaud, M. Potters, and M. Meyer Apparent multifractality in financial time series Eur. Phys. J. B 13 1999 595 e-print arXiv:cond-mat/9906347
23. K. Matia, Y. Ashkenazy, and H.E. Stanley Multifractal properties of price fluctuations of stocks and commodities Europhys. Lett. 61 2003 422 e-print arXiv:cond-mat/0308012
24. I.M. Dremin Cumulant and factorial moments in perturbative gluodynamics Phys. Lett. B 313 1993 209
25. I.M. Dremin, V. Arena, and G. Boca Cumulant to factorial moment ratio and multiplicity data Phys. Lett. B 336 1994 119 e-print arXiv: hep-ex/9405007
26. SLD Collaboration, Factorial and cumulant moments in e + e - to hadrons at Z 0 resonance, Phys. Lett. B 371 (1996) 149; e-print arXiv: hep-ex/9601010.
27. I.M. Dremin, and V.A. Nechitailo Independent pair parton interactions model of hadron interactions Phys. Rev. D 70 2004 034005 e-print arXiv:hep-ph/0402286
28. I.M. Dremin, and V.A. Nechitailo Moments of multiplicity distributions in higher-order perturbative QCD JETP Lett. 58 1993 881
29. I.M. Dremin, and R.C. Hwa Quark and gluon jets in QCD factorial and cumulant moments Phys. Rev. D 49 1994 5805
30. M.A. Buican, C. Förster, and W. Ochs QCD explanation of oscillating hadron and jet multiplicity moments Eur. Phys. J. C 31 2003 57 e-print arXiv:hep-ph/0307234
31. W. Kittel, S.V. Chekanov, D.J. Mangeol, and W.J. Metzger Multiplicities, fluctuations and QCD interplay between soft and hard physics? Nucl. Phys. Proc. Suppl. 71 1999 90 e-print arXiv:hep- ex/9712003
32. A. Giovannini, and R. Ugoccioni On signals of new physics in global event properties in pp collisions in the TeV energy domain Phys. Rev. D 68 2003 034009 e-print arXiv:hep-ph/0304128