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Volumn 34, Issue 1, 2006, Pages 493-522

Stable limits of martingale transforms with application to the estimation of GARCH parameters

Author keywords

GARCH process; Gaussian quasi maximum likelihood; Infinite variance; Mixing; Regular variation; Stable distribution; Stochastic recurrence equation

Indexed keywords


EID: 33744810886     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053605000000840     Document Type: Article
Times cited : (42)

References (28)
  • 3
    • 1842441339 scopus 로고    scopus 로고
    • GARCH processes: Structure and estimation
    • MR1997027
    • BERKES, I., HORVÁTH, L. and KOKOSZKA, P. (2003). GARCH processes: Structure and estimation. Bernoulli 9 201-227. MR1997027
    • (2003) Bernoulli , vol.9 , pp. 201-227
    • Berkes, I.1    Horváth, L.2    Kokoszka, P.3
  • 6
    • 0001306015 scopus 로고
    • Stationarity of GARCH processes and of some non-negative time series
    • MR1165646
    • BOUGEROL, P. and PICARD, N. (1992). Stationarity of GARCH processes and of some non-negative time series. J. Econometrics 52 115-127. MR1165646
    • (1992) J. Econometrics , vol.52 , pp. 115-127
    • Bougerol, P.1    Picard, N.2
  • 7
    • 0001523794 scopus 로고
    • Strict stationarity of generalized autoregressive processes
    • MR1188039
    • BOUGEROL, P. and PICARD, N. (1992). Strict stationarity of generalized autoregressive processes. Ann. Probab. 20 1714-1730. MR1188039
    • (1992) Ann. Probab. , vol.20 , pp. 1714-1730
    • Bougerol, P.1    Picard, N.2
  • 9
    • 0000390031 scopus 로고
    • Basic properties of strong mixing conditions
    • (E. Eberlein and M. S. Taqqu, eds.) Birkhäuser, Boston. MR0899990
    • BRADLEY, R. C. (1986). Basic properties of strong mixing conditions. In Dependence in Probability and Statistics (E. Eberlein and M. S. Taqqu, eds.) 165-192. Birkhäuser, Boston. MR0899990
    • (1986) Dependence in Probability and Statistics , pp. 165-192
    • Bradley, R.C.1
  • 10
    • 0001103803 scopus 로고
    • n with stationary coefficients
    • MR0827336
    • n with stationary coefficients. Adv. in Appl. Probab. 18 211-220. MR0827336
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 211-220
    • Brandt, A.1
  • 11
    • 0000799925 scopus 로고
    • On some limit theorems similar to the arc-sin law
    • MR0184274
    • BREIMAN, L. (1965). On some limit theorems similar to the arc-sin law. Theory Probab. Appl. 10 323-331. MR0184274
    • (1965) Theory Probab. Appl. , vol.10 , pp. 323-331
    • Breiman, L.1
  • 12
    • 0001094957 scopus 로고
    • Point process and partial sum convergence for weakly dependent random variables with infinite variance
    • MR1334176
    • 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. MR1334176
    • (1995) Ann. Probab. , vol.23 , pp. 879-917
    • Davis, R.A.1    Hsing, T.2
  • 13
    • 0032264526 scopus 로고    scopus 로고
    • The sample autocorrelations of heavy-tailed processes with applications to ARCH
    • MR1673289
    • DAVIS, R. A. and MIKOSCH, T. (1998). The sample autocorrelations of heavy-tailed processes with applications to ARCH. Ann. Statist. 26 2049-2080. MR1673289
    • (1998) Ann. Statist. , vol.26 , pp. 2049-2080
    • Davis, R.A.1    Mikosch, T.2
  • 16
    • 0037273761 scopus 로고    scopus 로고
    • Inference in ARCH and GARCH models with heavy-tailed errors
    • MR1956860
    • HALL, P. and YAO, Q. (2003). Inference in ARCH and GARCH models with heavy-tailed errors. Econometrica 71 285-317. MR1956860
    • (2003) Econometrica , vol.71 , pp. 285-317
    • Hall, P.1    Yao, Q.2
  • 19
    • 84940499148 scopus 로고    scopus 로고
    • Modeling dependence and tails of financial time series
    • (B. Finkenstädt and H. Rootzén, eds.) Chapman and Hall, Boca Raton, FL.
    • MIKOSCH, T. (2003). Modeling dependence and tails of financial time series. In Extreme Values in Finance, Telecommunications, and the Environment (B. Finkenstädt and H. Rootzén, eds.) 185-286. Chapman and Hall, Boca Raton, FL.
    • (2003) Extreme Values in Finance, Telecommunications, and the Environment , pp. 185-286
    • Mikosch, T.1
  • 21
    • 0000012271 scopus 로고
    • Propriétés de mélange des processus autorégressifs polynomiaux
    • MR1063750
    • MOKKADEM, A. (1990). Propriétés de mélange des processus autorégressifs polynomiaux. Ann. Inst. H. Poincaré Probab. Statist. 26 219-260. MR1063750
    • (1990) Ann. Inst. H. Poincaré Probab. Statist. , vol.26 , pp. 219-260
    • Mokkadem, A.1
  • 22
    • 0002095272 scopus 로고
    • Point processes, regular variation and weak convergence
    • MR0827332
    • RESNICK, S. I. (1986). Point processes, regular variation and weak convergence. Adv. in Appl. Probab. 18 66-138. MR0827332
    • (1986) Adv. in Appl. Probab. , vol.18 , pp. 66-138
    • Resnick, S.I.1
  • 24
    • 0002605356 scopus 로고
    • A central limit theorem and a strong mixing condition
    • MR0074711
    • ROSENBLATT, M. (1956). A central limit theorem and a strong mixing condition. Proc. Natl. Acad. Sci. U.S.A. 42 43-47. MR0074711
    • (1956) Proc. Natl. Acad. Sci. U.S.A. , vol.42 , pp. 43-47
    • Rosenblatt, M.1
  • 25
    • 0001618530 scopus 로고
    • On domains of attraction of multi-dimensional distributions
    • Amer. Math. Soc., Providence, RI. MR0150795
    • RVAČEVA, E. L. (1962). On domains of attraction of multi-dimensional distributions. In Select. Transl. Math. Statist. Probab. 2 183-205. Amer. Math. Soc., Providence, RI. MR0150795
    • (1962) Select. Transl. Math. Statist. Probab. , vol.2 , pp. 183-205
    • Rvačeva, E.L.1
  • 26
    • 3042587551 scopus 로고    scopus 로고
    • Extreme value theory, ergodic theory and the boundary between short memory and long memory for stationary stable processes
    • MR2060304
    • SAMORODNITSKY, G. (2004). Extreme value theory, ergodic theory and the boundary between short memory and long memory for stationary stable processes. Ann. Probab. 32 1438-1468. MR2060304
    • (2004) Ann. Probab. , vol.32 , pp. 1438-1468
    • Samorodnitsky, G.1
  • 28
    • 33846143734 scopus 로고    scopus 로고
    • Quasi-maximum-likelihood estimation in conditionally heteroscedastic time series: A stochastic recurrence equations approach
    • To appear
    • STRAUMANN, D. and MIKOSCH, T. (2006). Quasi-maximum-likelihood estimation in conditionally heteroscedastic time series: A stochastic recurrence equations approach. Ann. Statist. 34. To appear.
    • (2006) Ann. Statist. , vol.34
    • Straumann, D.1    Mikosch, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.