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Volumn 26, Issue 5, 1998, Pages 2049-2080

The sample autocorrelations of heavy-tailed processes with applications to arch

Author keywords

ARCH; Finance; Heavy tail; Markov chain; Mixing condition; Multivariate regular variation; Point process; Sample autocorrelation; Sample autocovariance; Stationary process; Vague convergence

Indexed keywords


EID: 0032264526     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1024691368     Document Type: Article
Times cited : (184)

References (33)
  • 1
    • 0031535661 scopus 로고    scopus 로고
    • Periodic moving averages of random variables with regularly varying tails
    • ANDERSON, P. L. and MEERSCHAERT, M. M. (1997). Periodic moving averages of random variables with regularly varying tails. Ann. Statist. 25 771-785.
    • (1997) Ann. Statist. , vol.25 , pp. 771-785
    • Anderson, P.L.1    Meerschaert, M.M.2
  • 3
    • 0000799925 scopus 로고
    • On some limit theorems similar to the arc-sin law
    • BREIMAN, L. (1965). On some limit theorems similar to the arc-sin law. Theory Probab. Appl. 10 323-331.
    • (1965) Theory Probab. Appl. , vol.10 , pp. 323-331
    • Breiman, L.1
  • 5
    • 84952178477 scopus 로고
    • Long memory in foreign-exchange rates
    • CHEUNG, Y.-W. (1993). Long memory in foreign-exchange rates. J. Bus. Econom. Statist. 11 93-101.
    • (1993) J. Bus. Econom. Statist. , vol.11 , pp. 93-101
    • Cheung, Y.-W.1
  • 8
    • 0001094957 scopus 로고
    • Point process and partial sum convergence for weakly dependent random variables with infinite variance
    • DAVIS, R. A. and HSING, T. (1995). Point process and partial sum convergence for weakly dependent random variables with infinite variance. Ann. Probab. 23 879-917.
    • (1995) Ann. Probab. , vol.23 , pp. 879-917
    • Davis, R.A.1    Hsing, T.2
  • 9
    • 0039009547 scopus 로고
    • Limit theory for the sample covariance and correlation matrix function of a class of multivariate linear processes
    • DAVIS, R. A. and MARENGO, J. (1990). Limit theory for the sample covariance and correlation matrix function of a class of multivariate linear processes. Stochastic Models 6 483-498.
    • (1990) Stochastic Models , vol.6 , pp. 483-498
    • Davis, R.A.1    Marengo, J.2
  • 10
  • 11
    • 0000613180 scopus 로고
    • More limit theory for the sample correlation function of moving averages
    • DAVIS, R. A. and RESNICK, S. I. (1985). More limit theory for the sample correlation function of moving averages. Stochastic Process. Appl. 20 257-279.
    • (1985) Stochastic Process. Appl. , vol.20 , pp. 257-279
    • Davis, R.A.1    Resnick, S.I.2
  • 12
    • 0000074862 scopus 로고
    • Limit theory for the sample covariance and correlation functions of moving averages
    • DAVIS, R. A. and RESNICK, S. I. (1986). Limit theory for the sample covariance and correlation functions of moving averages. Ann. Statist. 14 533-558.
    • (1986) Ann. Statist. , vol.14 , pp. 533-558
    • Davis, R.A.1    Resnick, S.I.2
  • 13
    • 0030365344 scopus 로고    scopus 로고
    • Limit theory for bilinear processes with heavy tailed noise
    • DAVIS, R. A. and RESNICK, S. I. (1996). Limit theory for bilinear processes with heavy tailed noise. Ann. Appl. Probab. 6 1191-1210.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 1191-1210
    • Davis, R.A.1    Resnick, S.I.2
  • 14
    • 0008682859 scopus 로고
    • On the observation closest to the origin
    • DE HAAN, L. and RESNICK, S. I. (1981). On the observation closest to the origin. Stochastic Process. Appl. 11 301-308.
    • (1981) Stochastic Process. Appl. , vol.11 , pp. 301-308
    • De Haan, L.1    Resnick, S.I.2
  • 15
    • 29444451851 scopus 로고
    • Extremal behaviour of solutions to a stochastic difference equation with applications to ARCH processes
    • DE HAAN, L., RESNICK, S. I., ROOTZÉN, H. and DE VRIES, C. G. (1989). Extremal behaviour of solutions to a stochastic difference equation with applications to ARCH processes. Stochastic Process. Appl. 32 213-224.
    • (1989) Stochastic Process. Appl. , vol.32 , pp. 213-224
    • De Haan, L.1    Resnick, S.I.2    Rootzén, H.3    De Vries, C.G.4
  • 16
    • 21144478229 scopus 로고
    • Tail behaviour of the stationary density of general non-linear autoregressive processes of order 1
    • DIEBOLT, J. and GUÉGAN, D. (1993). Tail behaviour of the stationary density of general non-linear autoregressive processes of order 1. J. Appl. Probab. 30 315-329.
    • (1993) J. Appl. Probab. , vol.30 , pp. 315-329
    • Diebolt, J.1    Guégan, D.2
  • 18
    • 0000732230 scopus 로고
    • Implicit renewal theory and tails of solutions of random equations
    • GOLDIE, C. M. (1991). Implicit renewal theory and tails of solutions of random equations. Ann. Appl. Probab. 1 126-166.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 126-166
    • Goldie, C.M.1
  • 19
    • 0003191872 scopus 로고
    • A note on the relationship between GARCH and symmetric stable processes
    • GROENENDIJK, P. A., LUCAS, A. L. and DE VRIES, C. G. (1995). A note on the relationship between GARCH and symmetric stable processes. J. Empirical Finance 2 253-264.
    • (1995) J. Empirical Finance , vol.2 , pp. 253-264
    • Groenendijk, P.A.1    Lucas, A.L.2    De Vries, C.G.3
  • 20
    • 0002487791 scopus 로고
    • For the bird's eye to the microscope. A survey of new stylized facts of the intra-daily foreign exchange markets
    • GUILLAUME, D. M., DACOROGNA, M. M., DAVÉ, R. R., MÜLLER, U. A., OLSEN, R. B. and PICTET, O. V. (1995). For the bird's eye to the microscope. A survey of new stylized facts of the intra-daily foreign exchange markets. Finance and Stochastics 1 95-129.
    • (1995) Finance and Stochastics , vol.1 , pp. 95-129
    • Guillaume, D.M.1    Dacorogna, M.M.2    Davé, R.R.3    Müller, U.A.4    Olsen, R.B.5    Pictet, O.V.6
  • 23
    • 2942672026 scopus 로고
    • Random difference equations and renewal theory for products of random matrices
    • KESTEN, H. (1973). Random difference equations and renewal theory for products of random matrices. Acta Math. 131 207-248.
    • (1973) Acta Math. , vol.131 , pp. 207-248
    • Kesten, H.1
  • 25
    • 0001433650 scopus 로고
    • Extremal theory for stochastic processes
    • LEADBETTER, M. R. and ROOTZÉN, H. (1988). Extremal theory for stochastic processes. Ann. Probab. 16 431-478.
    • (1988) Ann. Probab. , vol.16 , pp. 431-478
    • Leadbetter, M.R.1    Rootzén, H.2
  • 26
    • 0000119560 scopus 로고
    • Testing the covariance stationarity of heavy-tailed time series: An overview of the theory with applications to several financial instruments
    • LORETAN, M. and PHILLIPS, C. B. (1994). Testing the covariance stationarity of heavy-tailed time series: an overview of the theory with applications to several financial instruments. J. Empirical Finance 1 211-248.
    • (1994) J. Empirical Finance , vol.1 , pp. 211-248
    • Loretan, M.1    Phillips, C.B.2
  • 29
    • 0002095272 scopus 로고
    • Point processes, regular variation and weak convergence
    • RESNICK, S. I. (1986). Point processes, regular variation and weak convergence. Adv. in Appl. Probab. 18 66-138.
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 66-138
    • Resnick, S.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.