Integrated random processes exhibiting long tails, finite moments, and power-law spectra

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 64, Issue 1, 2001, Pages 11-

  Masoliver, Jaume ^a   Montero, Miquel ^a   McKane, Alan ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85035276487     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.64.011110     Document Type: Article

References (27)

1. The Random Character of Stock Market Prices, edited by P. H. Cootner (MIT Press, Cambridge, MA, 1964).
2. Apparently Kendall was the first to notice that a normal distribution did not fit financial data, especially at the wings of the distribution: M. G. Kendall, J. R. Stat. Soc. 96, 11 (1953).
3. B. Mandelbrot, J. Business 35, 394 (1963);
4. J. BusinessE. Fama, 35, 420 (1963).
5. R. N. Mantegna and H. E. Stanley, Phys. Rev. Lett. 73, 2946 (1994);
6. I. Koponen, Phys. Rev. E 52, 1197 (1995).
7. R. N. Mantegna and H. E. Stanley, Nature (London) 376, 46 (1995);An Introduction to Econophysics (Cambridge University Press, Cambridge, 2000).
8. J. Masoliver, M. Montero, and J. M. Porrá, Physica A 283, 559 (2000).
9. H. Cramer, Mathematical Methods of Statistics (Princeton University Press, Princeton, NJ, 1951).
10. E. Barkai, R. Silbey, and G. Zumofen, Phys. Rev. Lett. 84, 5339 (2000).
11. F. Bardou, J. P. Bouchaud, O. Emile, A. Aspect, and C. Cohen-Tannoudji, Phys. Rev. Lett. 72, 203 (1994).
12. B. Saubaméa, M. Leduc, and C. Cohen-Tannoudji, Phys. Rev. Lett. 83, 3796 (1999).
13. S. Marksteiner, K. Ellinger, and P. Zoller, Phys. Rev. A 53, 3409 (1996);
14. Phys. Rev. AW. Greenwood, P. Pax, and P. Meystre, 56, 2109 (1997).
15. H. Katori, S. Schlipf, and H. Walther, Phys. Rev. Lett. 79, 2221 (1997).
16. J. Reichel, F. Bardou, M. Ben Dahan, E. Peik, S. Rand, C. Salomon, and C. Cohen-Tannoudji, Phys. Rev. Lett. 75, 4575 (1995).
17. A. Ott, J. P. Bouchaud, D. Langevin, and W. Urbach, Phys. Rev. Lett. 65, 2201 (1990).
18. S. C. Venkataramani, T. M. Antonsen, and E. Ott, Phys. Rev. Lett. 78, 3864 (1997).
19. D. Bénisti and D. F. Escande, Phys. Rev. Lett. 80, 4871 (1998).
20. V. Latora, A. Rapisarda, and S. Ruffo, Phys. Rev. Lett. 83, 2104 (1999).
21. E. Lukacs, Characteristic Functions (Griffin, London, 1970).
22. S. O. Rice, in Noise and Stochastic Processes, edited by N. Wax (Dover, New York, 1954).
23. S. M. Rytov, and V. I. Tatarskii, Yu. A. Kravtsov, Principles of Statistical Radiophysics (Springer-Verlag, Berlin, 1987).
24. S. B. Lowen and M. C. Teich, Phys. Rev. Lett. 63, 1755 (1989).
25. J. Masoliver, Phys. Rev. A 35, 3918 (1987).
26. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
27. J. Y. Campbell, A. W. Lo, and A. C. MacKinlay, The Econometrics of Financial Markets (Princeton University Press, Princeton, NJ, 1997).