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Volumn 100, Issue 472, 2005, Pages 1382-1393

Diverging moments and parameter estimation

Author keywords

Characteristic functions; Diverging moments; Heavy tailed distributions; Wavelet transform

Indexed keywords


EID: 29144488074     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214505000000303     Document Type: Article
Times cited : (13)

References (27)
  • 1
    • 0002430828 scopus 로고
    • Wavelets, spectrum analysis and I/f processes
    • eds. A. Antoniadis and G. Oppenheim, New York: Springer-Verlag
    • Abry, P., Gonçalvés, P., and Flandrin, P. (1995), "Wavelets, Spectrum Analysis and I/f Processes," in Wavelets and Statistics, eds. A. Antoniadis and G. Oppenheim, New York: Springer-Verlag, pp. 15-29.
    • (1995) Wavelets and Statistics , pp. 15-29
    • Abry, P.1    Gonçalvés, P.2    Flandrin, P.3
  • 3
    • 29144447018 scopus 로고    scopus 로고
    • Scale- And shift-invariant estimators for the heavy-tail index alpha
    • Bianchi, K., and Meerschaert, M. (2000), "Scale- and Shift-Invariant Estimators for the Heavy-Tail Index Alpha," AMS 2000 Subject Classification, 62F12, 60F05.
    • (2000) AMS 2000 Subject Classification , vol.62 F12
    • Bianchi, K.1    Meerschaert, M.2
  • 5
    • 0001506720 scopus 로고
    • Estimating the stable index alpha in order to measure tail thickness: A critique
    • DuMouchel, W. (1983), "Estimating the Stable Index Alpha in Order to Measure Tail Thickness: A Critique," The Annals of Statistics, 11, 1019-1031.
    • (1983) The Annals of Statistics , vol.11 , pp. 1019-1031
    • DuMouchel, W.1
  • 7
    • 0001893950 scopus 로고
    • On the efficiency of empirical characteristic function procedures
    • _ (1981b), "On the Efficiency of Empirical Characteristic Function Procedures," Journal of the Royal Statistical Society, Ser. B, 43, 20-27.
    • (1981) Journal of the Royal Statistical Society, Ser. B , vol.43 , pp. 20-27
  • 8
    • 0002054359 scopus 로고
    • The empirical characteristic function and its applications
    • Feuerverger, A., and Mureika, R. A. (1977), "The Empirical Characteristic Function and Its Applications," The Annals of Statistics, 55, 88-97.
    • (1977) The Annals of Statistics , vol.55 , pp. 88-97
    • Feuerverger, A.1    Mureika, R.A.2
  • 10
    • 84861299884 scopus 로고    scopus 로고
    • Diverging moments and parameter estimation
    • INRIA Rhône-Alpes, Grenoble, France
    • Gonçalvés, P., and Riedi, R. (2002), "Diverging Moments and Parameter Estimation," Research Report 4647, INRIA Rhône-Alpes, Grenoble, France.
    • (2002) Research Report , vol.4647
    • Gonçalvés, P.1    Riedi, R.2
  • 11
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill, B. (1975), "A Simple General Approach to Inference About the Tail of a Distribution," The Annals of Statistics, 3, 1163-1173.
    • (1975) The Annals of Statistics , vol.3 , pp. 1163-1173
    • Hill, B.1
  • 12
    • 0001832379 scopus 로고
    • Exposants de hölder en des points donnés et coefficients d'Ondelettes
    • Jaffard, S. (1989), "Exposants de Hölder en des Points Donnés et Coefficients d'Ondelettes," Compte Rendu Académie des Sciences, 308, 79-81.
    • (1989) Compte Rendu Académie des Sciences , vol.308 , pp. 79-81
    • Jaffard, S.1
  • 13
    • 0009535965 scopus 로고
    • Local behavior of riemann's function
    • _ (1995), "Local Behavior of Riemann's Function," Contemporary Mathematics, 189, 287-307.
    • (1995) Contemporary Mathematics , vol.189 , pp. 287-307
  • 14
    • 84861295341 scopus 로고    scopus 로고
    • Méthodes d'Ondelettes pour l'analyse multifractale de fonctions
    • eds. P. Abry, P. Gonçalvès, and J. Lévy- Véhel, Paris: Hermès Science
    • _ (2001), "Méthodes d'Ondelettes Pour l'Analyse Multifractale de Fonctions," in Lois d'Échelle, Fractals et Ondelettes, Vol. 1, eds. P. Abry, P. Gonçalvès, and J. Lévy-Véhel, Paris: Hermès Science, pp. 71-105.
    • (2001) Lois d'Échelle, Fractals et Ondelettes , vol.1 , pp. 71-105
  • 15
    • 0003976054 scopus 로고
    • Probability and Mathematical Statistics, New York: Academic Press
    • Kawata, T. (1972), Fourier Analysis in Probability Theory, Probability and Mathematical Statistics, New York: Academic Press.
    • (1972) Fourier Analysis in Probability Theory
    • Kawata, T.1
  • 17
    • 11744341805 scopus 로고
    • The QQ-estimator and heavy tails
    • Université René Descartes, Paris V and Cornell University
    • Kratz, M. F., and Resnick, S. I. (1995), "The QQ-Estimator and Heavy Tails," technical report, Université René Descartes, Paris V and Cornell University.
    • (1995) Technical Report
    • Kratz, M.F.1    Resnick, S.I.2
  • 19
    • 38049084243 scopus 로고
    • Simple consistent estimator of the stable distribution parameter
    • McCulloch, J. H. (1986), "Simple Consistent Estimator of the Stable Distribution Parameter," Communication on Statistical Simulation, 15, 1109-1136.
    • (1986) Communication on Statistical Simulation , vol.15 , pp. 1109-1136
    • McCulloch, J.H.1
  • 20
    • 0002485569 scopus 로고    scopus 로고
    • Measuring tail thickness to estimate the stable index alpha: A critique
    • _ (1997), "Measuring Tail Thickness to Estimate the Stable Index Alpha: A Critique," Journal of the American Statistical Association, 15, 74-81.
    • (1997) Journal of the American Statistical Association , vol.15 , pp. 74-81
  • 21
    • 0007110193 scopus 로고    scopus 로고
    • Maximum likelihood estimation for stable parameters
    • eds. O. E. Barndorff-Nielsen, T. Mikosch, and S. I. Resnick, Boston: Birkhäuser
    • Nolan, J. P. (2001), "Maximum Likelihood Estimation for Stable Parameters," in Levy Processes: Theory and Applications, eds. O. E. Barndorff-Nielsen, T. Mikosch, and S. I. Resnick, Boston: Birkhäuser, pp. 379-400.
    • (2001) Levy Processes: Theory and Applications , pp. 379-400
    • Nolan, J.P.1
  • 24
    • 84861300367 scopus 로고    scopus 로고
    • Lois d'échelle multifractales: Fondements et approche ondelettes
    • eds. P. Abry, P. Gonçalvès, and J. Lévy- Véhel, Paris: Hermès Science
    • Riedi, R. (2001), "Lois d'Échelle Multifractales: Fondements et Approche Ondelettes," in Lois d'Échelle, Fractals et Ondelettes, Vol. 2, eds. P. Abry, P. Gonçalvès, and J. Lévy- Véhel, Paris: Hermès Science, pp. 53-100.
    • (2001) Lois d'Échelle, Fractals et Ondelettes , vol.2 , pp. 53-100
    • Riedi, R.1
  • 25
    • 84861299884 scopus 로고    scopus 로고
    • Diverging moments and parameter estimation
    • INRIA Rhône-Alphes, Grenoble, France
    • Riedi, R., and Gonçalvés, P. (2002), "Diverging Moments and Parameter Estimation," Research Report 4647, INRIA Rhône-Alphes, Grenoble, France.
    • (2002) Research Report , vol.4647
    • Riedi, R.1    Gonçalvés, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.