Analysis of fractional Gaussian noises using level crossing method

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2011, Issue 11, 2011, Pages

  Vahabi, M ^a   Jafari, G R ^a   Sadegh Movahed, M ^a  

^a SHAHID BEHESHTI UNIVERSITY   (Iran)

Author keywords

self affine roughness (theory); stochastic processes

Indexed keywords

EID: 82455174330     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2011/11/P11021     Document Type: Article

References (35)

1. Rice S O 1944 Mathematical analysis of random noise Bell Syst. Tech. J. 23 282
2. Rice S O 1945 Mathematical analysis of random noise Bell Syst. Tech. J. 24 46
3. Newland D E 1993 An Introduction to Random Vibrations, Spectral and Wavelet Analysis 3rd edn (Harlow, UK: Longman Scientific and Technical)
4. Shahbazi F, Sobhanian S, Reza Rahimi Tabar M, Khorram S, Frootan G R and Zahed H 2003 J. Phys. A: Math. Gen. 36 2517
5. Vahabi M and Jafari G R 2007 Global Privatization and Its Impact ed I J Hagen and TS Halvorsen (Hauppauge, NY: Nova Science) chapter 7
6. Ghasemi F, Sahimi M, Peinke J, Friedrich R, Jafari G R and Reza Rahimi Tabar M 2007 Phys. Rev. E 75 060102(R)
7. Jensen M H, Johansen A, Petroni F and Simonsen I 2004 Physica A 340 678
8. Ebadi H, Bolgorian M and Jafari G R 2010 Physica A 389 5530
9. Jafari G R, Movahed M S, Fazeli S M and Rahimi Tabar M R 2006 J. Stat. Mech. P06008
10. Simonsen I, Jensen M H and Johansen A 2002 Eur. Phys. J. B 27 583
11. Jensen M H, Johansen A and Simonsen I 2003 Physica A 234 338
12. Bunde A, Eichner J F, Kantelhardt J W and Havlin Sh 2005 Phys. Rev. Lett. 94 048701
13. Newell G F and Rosenblatt M 1962 Ann. Math. Stat. 33 1306
14. Vahabi M and Jafari G R 2007 Physica A 385 583
15. Vahabi M and Jafari G R 2009 Physica A 388 3859
16. Yahoo finance; Tehran Stock Exchange www.tse.ir
17. Sadegh Movahed M and Khosravi S 2011 J. Cosmol. Astropart. Phys. JCAP03(2011)012
18. Theiler J, Eubank S, Longtin A, Galdrikian B and Farmer J D 1992 Physica D 58 77
19. Ashkenazy Y, Ivanov P Ch, Havlin Sh, Peng C-K, Goldberger A L and Stanley H E 2001 Phys. Rev. Lett. 86 1900
20. Hedayatifar L, Vahabi M and Jafari G R 2011 Phys. Rev. E 84 021138
21. Schreiber T and Schmitz A 2000 Physica D 142 346
22. Theiler J, Linsay P S and Rubin D M 1993 Time Series Prediction: Forecasting the Future and Understanding the Past vol 17 ed A S Weigend and N A Gershenfeld (Reading, MA: Addison-Wesley)
23. Theiler J and Prichard D 1997 Fields Inst. Commun. 11 99
24. Saupe D 1988 The Science of Fractal Images ed H-O Peitgen and D Saupe (New York: Springer)
25. Feder J 1988 Fractals (New York: Plenum)
26. Peng C-K, Havlin S, Schwartz M and Stanley H E 1991 Phys. Rev. A 44 R2239
27. Prakash S, Havlin S, Schwartz M and Stanley H E 1992 Phys. Rev. A 46 R1724
28. Hamzehpour H and Sahimi M 2006 Phys. Rev. E 73 056121
29. Pang N-N, Yu Y-K and Halpin-Healy T 1995 Phys. Rev. E 52 3224
30. Makse H A, Havlin S, Schwartz M and Stanley H E 1996 Phys. Rev. E 53 5445
31. Mehrabi A R, Rassamdana H and Sahimi M 1997 Phys. Rev. E 56 712
32. Voss R F 1985 Fundamental Algorithms for Computer Graphics (NATO ASI Series vol 17) ed R A Earnshaw (Heidelberg: Springer) p805
33. Lu S, Molz F J and Liu H-H 2003 Comput. Geosci. 29 15
34. Ausloos M and Berman D H 1985 Proc. R. Soc. A 400 331
35. Yan W and Komvopoulos K 1998 J. Appl. Phys. 84 3617