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Volumn 13, Issue 2, 2007, Pages 473-491

Estimation of the memory parameter of the infinite-source Poisson process

Author keywords

Heavy tails; Internet traffic; Long range dependence; Poisson point processes; Semiparametric estimation; Wavelets

Indexed keywords


EID: 37249069541     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/07-BEJ5123     Document Type: Article
Times cited : (22)

References (13)
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    • Faÿ, G., Roueff, F. and Soulier, P. (2005). Estimation of the memory parameter of the infinite source Poisson process. arXiv:math.ST/ 0509371v2.
    • (2005)
    • Faÿ, G.1    Roueff, F.2    Soulier, P.3
  • 5
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    • (1984) Ann. Statist , vol.3 , pp. 1079-1084
    • Hall, R.1    Welsh, A.H.2
  • 6
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    • Statistical aspects of self-similar processes
    • Yu.A. Prohorov and V.V. Sazonov eds, Utrecht: VNU Science Press
    • Künsch, H.R. (1987). Statistical aspects of self-similar processes. In Yu.A. Prohorov and V.V. Sazonov (eds), Proceedings of the First World Congres of the Bernoulli Society, Vol. 1, pp. 67-74. Utrecht: VNU Science Press.
    • (1987) Proceedings of the First World Congres of the Bernoulli Society , vol.1 , pp. 67-74
    • Künsch, H.R.1
  • 7
    • 0037003085 scopus 로고    scopus 로고
    • Asymptotic independence and a network traffic model
    • Maulik, K., Resnick, S. and Rootzén, H. (2002). Asymptotic independence and a network traffic model. J. Appl. Probab. 39 671-699.
    • (2002) J. Appl. Probab , vol.39 , pp. 671-699
    • Maulik, K.1    Resnick, S.2    Rootzén, H.3
  • 8
    • 0004198869 scopus 로고
    • Cambridge: Cambridge University Press
    • Meyer, Y. (1992). Wavelets and Operators. Cambridge: Cambridge University Press.
    • (1992) Wavelets and Operators
    • Meyer, Y.1
  • 9
    • 0036114594 scopus 로고    scopus 로고
    • Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
    • Mikosch, T., Resnick, S., Rootzén, H. and Stegeman, A. (2002). Is network traffic approximated by stable Lévy motion or fractional Brownian motion? Ann. Appl. Probab. 12 23-68.
    • (2002) Ann. Appl. Probab , vol.12 , pp. 23-68
    • Mikosch, T.1    Resnick, S.2    Rootzén, H.3    Stegeman, A.4
  • 10
    • 0031336241 scopus 로고    scopus 로고
    • M/G/infinity input processes: A versatile class of models for network traffic
    • Los Alamitos, CA: IEEE Computer Society Press
    • Parulekar, M. and Makowski, A.M. (1997). M/G/infinity input processes: A versatile class of models for network traffic. In Proceedings of INFOCOM '97, pp. 419-426. Los Alamitos, CA: IEEE Computer Society Press.
    • (1997) Proceedings of INFOCOM '97 , pp. 419-426
    • Parulekar, M.1    Makowski, A.M.2
  • 12
    • 0034346706 scopus 로고    scopus 로고
    • Self-similar communication models and very heavy tails
    • Resnick, S. and Rootzén, H. (2000). Self-similar communication models and very heavy tails. Ann. Appl. Probab. 10 753-778.
    • (2000) Ann. Appl. Probab , vol.10 , pp. 753-778
    • Resnick, S.1    Rootzén, H.2
  • 13
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    • Wavelet-based representations for a class of self-similar signals with application to fractal modulation
    • Wornell, G.A. and Oppenheim, A.V. (1992). Wavelet-based representations for a class of self-similar signals with application to fractal modulation. IEEE Trans. Inform. Theory 38 785-800.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 785-800
    • Wornell, G.A.1    Oppenheim, A.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.