메뉴 건너뛰기




Volumn 16, Issue 2, 2000, Pages 233-258

Sample correlation behavior for the heavy tailed general bilinear process

Author keywords

Bilinear process; Heavy tails; Model selection; Point processes; Sample correlation; Time series

Indexed keywords


EID: 0043251778     PISSN: 08820287     EISSN: None     Source Type: Journal    
DOI: 10.1080/15326340008807586     Document Type: Article
Times cited : (15)

References (26)
  • 2
    • 0000799925 scopus 로고
    • On some limit theorems similar to the arc-sin law
    • L. Breiman. On some limit theorems similar to the arc-sin law. Theory Probab. Appl., 10:323-331, 1965.
    • (1965) Theory Probab. Appl. , vol.10 , pp. 323-331
    • Breiman, L.1
  • 5
    • 0032264526 scopus 로고    scopus 로고
    • The sample acf of heavy-tailed stationary processes with applications to arch
    • R.A. Davis and T. Mikosch. The sample acf of heavy-tailed stationary processes with applications to arch. Annals of Statistics, 26:2049-2080, 1998.
    • (1998) Annals of Statistics , vol.26 , pp. 2049-2080
    • Davis, R.A.1    Mikosch, T.2
  • 6
    • 0001568756 scopus 로고
    • Limit theory for moving averages of random variables with regularly varying tail probabilities
    • R.A. Davis and S. Resnick. Limit theory for moving averages of random variables with regularly varying tail probabilities. Annals of Probability, 13:179-195, 1985.
    • (1985) Annals of Probability , vol.13 , pp. 179-195
    • Davis, R.A.1    Resnick, S.2
  • 7
    • 0000613180 scopus 로고
    • More limit theory for the sample correlation function of moving averages
    • R.A. Davis and S. Resnick. More limit theory for the sample correlation function of moving averages. Stochastic Processes and their Applications, 20:257-279, 1985.
    • (1985) Stochastic Processes and Their Applications , vol.20 , pp. 257-279
    • Davis, R.A.1    Resnick, S.2
  • 8
    • 0000074862 scopus 로고
    • Limit theory for the sample covariance and correlation functions of moving averages
    • R.A. Davis and S. Resnick. Limit theory for the sample covariance and correlation functions of moving averages. Annals of Statistics, 14:533-558, 1986.
    • (1986) Annals of Statistics , vol.14 , pp. 533-558
    • Davis, R.A.1    Resnick, S.2
  • 9
    • 0030365344 scopus 로고    scopus 로고
    • Limit theory for bilinear processes with heavy tailed noise
    • R.A. Davis and S. Resnick. Limit theory for bilinear processes with heavy tailed noise. Annals of Applied Probability, 6(4):1191-1210, 1996.
    • (1996) Annals of Applied Probability , vol.6 , Issue.4 , pp. 1191-1210
    • Davis, R.A.1    Resnick, S.2
  • 12
    • 0000913134 scopus 로고    scopus 로고
    • Pitfalls of fitting autoregressive models with emphasis on heavy-tailed time series
    • P. Feigin and S. Resnick. Pitfalls of fitting autoregressive models with emphasis on heavy-tailed time series. Extremes, 1:391-422, 1999.
    • (1999) Extremes , vol.1 , pp. 391-422
    • Feigin, P.1    Resnick, S.2
  • 14
    • 0001263124 scopus 로고
    • A simple approach to inference about the tail of a distribution
    • B. Hill. A simple approach to inference about the tail of a distribution. Annals of Statistics, 3:1163-1174, 1975.
    • (1975) Annals of Statistics , vol.3 , pp. 1163-1174
    • Hill, B.1
  • 15
    • 0004212801 scopus 로고
    • Akademie-Verlag, Berlin, third edition
    • O. Kallenberg. Random Measures. Akademie-Verlag, Berlin, third edition, 1983.
    • (1983) Random Measures
    • Kallenberg, O.1
  • 16
    • 84981412784 scopus 로고
    • On the existence of a general multiple bilinear time series
    • J. Liu. On the existence of a general multiple bilinear time series. Journal of Time Series Analysis, 10:341-355, 1989.
    • (1989) Journal of Time Series Analysis , vol.10 , pp. 341-355
    • Liu, J.1
  • 17
    • 0009885650 scopus 로고
    • A note on causality and invertibility of a general bilinear time series model
    • J. Liu. A note on causality and invertibility of a general bilinear time series model. Advances in Applied Probability, 22:247-250, 1990.
    • (1990) Advances in Applied Probability , vol.22 , pp. 247-250
    • Liu, J.1
  • 18
    • 0001791777 scopus 로고
    • On interchanging limits and integrals
    • J. Pratt. On interchanging limits and integrals. Annals of Mathematical Statistics, 31:74-77, 1960.
    • (1960) Annals of Mathematical Statistics , vol.31 , pp. 74-77
    • Pratt, J.1
  • 19
    • 0002095272 scopus 로고
    • Point processes, regular variation and weak convergence
    • S. Resnick. Point processes, regular variation and weak convergence. Advances in Applied Probability, 18:66-138, 1986.
    • (1986) Advances in Applied Probability , vol.18 , pp. 66-138
    • Resnick, S.1
  • 21
    • 0031512270 scopus 로고    scopus 로고
    • Heavy tail modeling and teletraffic data
    • S. Resnick. Heavy tail modeling and teletraffic data. Annals of Statistics, 25:1805-1869, 1997.
    • (1997) Annals of Statistics , vol.25 , pp. 1805-1869
    • Resnick, S.1
  • 22
    • 0033249378 scopus 로고    scopus 로고
    • How misleading can sample acf's of stable moving averages be? (Very!)
    • S. Resnick, G. Samorodnitsky, and F. Xue. How misleading can sample acf's of stable moving averages be? (Very!). Annals of Applied Probability, 9(3):797-817, 1999.
    • (1999) Annals of Applied Probability , vol.9 , Issue.3 , pp. 797-817
    • Resnick, S.1    Samorodnitsky, G.2    Xue, F.3
  • 25
    • 0003299258 scopus 로고
    • An Introduction to Bispectral Analysis and Bilinear Time Series Models
    • Springer-Verlag, New York
    • T. Subba Rao and M. M. Gabr. An Introduction to Bispectral Analysis and Bilinear Time Series Models, volume 24 of Lecture Notes in Statistics. Springer-Verlag, New York, 1984.
    • (1984) Lecture Notes in Statistics , vol.24
    • Subba Rao, T.1    Gabr, M.M.2
  • 26
    • 0031078972 scopus 로고    scopus 로고
    • Self-similarity through high-variability: Statistical analysis of ethernet lan traffic at the source level
    • W. Willinger, M. Taqqu, R. Sherman, and D. Wilson. Self-similarity through high-variability: Statistical analysis of ethernet lan traffic at the source level. IEEE/ACM Transactions on Networking, 5(1):71-96, 1997.
    • (1997) IEEE/ACM Transactions on Networking , vol.5 , Issue.1 , pp. 71-96
    • Willinger, W.1    Taqqu, M.2    Sherman, R.3    Wilson, D.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.