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Volumn 36, Issue 2, 2008, Pages 742-786

Normalized least-squares estimation in time-varying arch models

Author keywords

(G)ARCH models; Cross validation; Kernel smoothing; Least squares estimation; Locally stationary models

Indexed keywords


EID: 51049101671     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/07-AOS510     Document Type: Article
Times cited : (68)

References (32)
  • 1
    • 84993867944 scopus 로고
    • ARCH models: Properties, estimation and testing
    • BERA, A. K. and HIGGINS, M. L. (1993). ARCH models: Properties, estimation and testing. J. Econom. Surv. 7 305-366.
    • (1993) J. Econom. Surv , vol.7 , pp. 305-366
    • BERA, A.K.1    HIGGINS, M.L.2
  • 3
    • 0000485156 scopus 로고
    • Some asymptotic theory for the bootstrap
    • MR0630103
    • BICKEL, P. J. and FREEDMAN, D. A. (1981). Some asymptotic theory for the bootstrap. Ann. Statist. 9 1196-1217. MR0630103
    • (1981) Ann. Statist , vol.9 , pp. 1196-1217
    • BICKEL, P.J.1    FREEDMAN, D.A.2
  • 4
    • 42449156579 scopus 로고
    • Generalized autoregressive conditional heteroskedasticity
    • MR0853051
    • BOLLERSLEV, T. (1986). Generalized autoregressive conditional heteroskedasticity. J. Econometrics 31 307-327. MR0853051
    • (1986) J. Econometrics , vol.31 , pp. 307-327
    • BOLLERSLEV, T.1
  • 5
    • 0141991810 scopus 로고    scopus 로고
    • Estimating the ARCH parameters by solving linear equations
    • MR1965808
    • BOSE, A. and MIJKHERTEE, K. (2003). Estimating the ARCH parameters by solving linear equations. J. Time Ser. Anal. 24 127-136. MR1965808
    • (2003) J. Time Ser. Anal , vol.24 , pp. 127-136
    • BOSE, A.1    MIJKHERTEE, K.2
  • 6
    • 0031518090 scopus 로고    scopus 로고
    • Fitting time series models to nonstationary processes
    • MR1429916
    • DAHLHAUS, R. ( 1997). Fitting time series models to nonstationary processes. Ann. Statist. 25 1-37. MR1429916
    • (1997) Ann. Statist , vol.25 , pp. 1-37
    • DAHLHAUS, R.1
  • 7
    • 33747154976 scopus 로고    scopus 로고
    • Statistical inference for time-varying ARCH processes
    • MR2278352
    • DAHLHAUS, R. and SUBBA RAO, S. (2006). Statistical inference for time-varying ARCH processes. Ann. Statist. 34 1075-1114. MR2278352
    • (2006) Ann. Statist , vol.34 , pp. 1075-1114
    • DAHLHAUS, R.1    SUBBA RAO, S.2
  • 8
    • 0000051984 scopus 로고
    • Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation
    • MR0666121
    • ENGLE, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica 50 987-1008. MR0666121
    • (1982) Econometrica , vol.50 , pp. 987-1008
    • ENGLE, R.F.1
  • 9
    • 51049094281 scopus 로고    scopus 로고
    • FAN, J. and YAO, Q. (2003). Nonlinear Time Series. Springer, New York. MR1964455
    • FAN, J. and YAO, Q. (2003). Nonlinear Time Series. Springer, New York. MR1964455
  • 10
    • 0348229233 scopus 로고    scopus 로고
    • Time-dependent diffusion models for term structure dynamics
    • MR2026058
    • FAN, J., JIANG, J., ZHANG, C. and ZHOU, Z. (2003). Time-dependent diffusion models for term structure dynamics. Statist. Sinica 13 965-992. MR2026058
    • (2003) Statist. Sinica , vol.13 , pp. 965-992
    • FAN, J.1    JIANG, J.2    ZHANG, C.3    ZHOU, Z.4
  • 11
    • 84981382990 scopus 로고
    • Bootstrapping stationary autoregressive moving average models
    • MR1173561
    • FRANKE, J. and KREISS, J.-P. (1992). Bootstrapping stationary autoregressive moving average models J. Time Ser. Anal. 13 297-317. MR1173561
    • (1992) J. Time Ser. Anal , vol.13 , pp. 297-317
    • FRANKE, J.1    KREISS, J.-P.2
  • 12
    • 33746247613 scopus 로고    scopus 로고
    • A Haar-Fisz technique for locally stationary volatility estimation
    • MR2261451
    • FRYZLEWICZ, P., SAPATINAS, T. and SUBBA RAO, S. (2006). A Haar-Fisz technique for locally stationary volatility estimation. Biometrica 93 687-704. MR2261451
    • (2006) Biometrica , vol.93 , pp. 687-704
    • FRYZLEWICZ, P.1    SAPATINAS, T.2    SUBBA RAO, S.3
  • 13
    • 0034395874 scopus 로고    scopus 로고
    • Stationary ARCH models: Dependence structure and central limit theorem
    • MR1749017
    • GIRAITIS, L., KOKOSZKA, P. and LEIPUS, R. (2000). Stationary ARCH models: Dependence structure and central limit theorem. Econometric Theory 16 3-22. MR1749017
    • (2000) Econometric Theory , vol.16 , pp. 3-22
    • GIRAITIS, L.1    KOKOSZKA, P.2    LEIPUS, R.3
  • 14
    • 84892294212 scopus 로고    scopus 로고
    • GIRAITIS, L., LEIPUS, R. and SURGAILIS, D. (2005). Recent advances in ARCH modelling. In Long Memory in Economics (A. Kirman and G. Teyssiere, eds.) 3-38. Springer, Berlin. MR2265054
    • GIRAITIS, L., LEIPUS, R. and SURGAILIS, D. (2005). Recent advances in ARCH modelling. In Long Memory in Economics (A. Kirman and G. Teyssiere, eds.) 3-38. Springer, Berlin. MR2265054
  • 15
    • 0035594491 scopus 로고    scopus 로고
    • Whittle estimation of GARCH models
    • MR1841822
    • GIRAITIS, L. and ROBINSON, P. (2001). Whittle estimation of GARCH models. Econometric Theory 17 608-631. MR1841822
    • (2001) Econometric Theory , vol.17 , pp. 608-631
    • GIRAITIS, L.1    ROBINSON, P.2
  • 16
    • 51049100046 scopus 로고    scopus 로고
    • HALL, P. and HEYDE, C. (1980). Martingale Limit Theory and its Applications. Academic Press, New York. MR0624435
    • HALL, P. and HEYDE, C. (1980). Martingale Limit Theory and its Applications. Academic Press, New York. MR0624435
  • 17
    • 3042990270 scopus 로고    scopus 로고
    • Some automated methods for smoothing time-dependent data
    • MR1383047
    • HART, J. (1996). Some automated methods for smoothing time-dependent data. J. Nonparametr. Statist. 6 115-142. MR1383047
    • (1996) J. Nonparametr. Statist , vol.6 , pp. 115-142
    • HART, J.1
  • 18
    • 0035621207 scopus 로고    scopus 로고
    • Empirical process of the squared residuals of an ARCH process
    • MR1863965
    • HORVATH, L., KOKOSZKA, P. and TEYSSIERE, G. (2001). Empirical process of the squared residuals of an ARCH process. Ann. Statist. 29 445-469. MR1863965
    • (2001) Ann. Statist , vol.29 , pp. 445-469
    • HORVATH, L.1    KOKOSZKA, P.2    TEYSSIERE, G.3
  • 20
    • 34248541994 scopus 로고    scopus 로고
    • Self-weighted and local quasi-maximum likelihood estimators for ARMA-GARCH/IGARCH models
    • LING, S. (2007). Self-weighted and local quasi-maximum likelihood estimators for ARMA-GARCH/IGARCH models. J. Econom. 140 849-873.
    • (2007) J. Econom , vol.140 , pp. 849-873
    • LING, S.1
  • 21
    • 24344506203 scopus 로고    scopus 로고
    • Statistical inference for time-inhomogeneous volatility models
    • MR2060170
    • MERCURIO, D. and SPOKOINY, V. (2004a). Statistical inference for time-inhomogeneous volatility models. Ann. Statist. 32 577-602. MR2060170
    • (2004) Ann. Statist , vol.32 , pp. 577-602
    • MERCURIO, D.1    SPOKOINY, V.2
  • 22
    • 33751565829 scopus 로고    scopus 로고
    • Estimation of time dependent volatility via local change point analysis
    • Preprint
    • MERCURIO, D. and SPOKOINY, V. (2004b). Estimation of time dependent volatility via local change point analysis. Preprint.
    • (2004)
    • MERCURIO, D.1    SPOKOINY, V.2
  • 23
    • 0011392709 scopus 로고    scopus 로고
    • Is it really long memory we see in financial returns?
    • P. Embrechts, ed, Risk Books, London
    • MIKOSCH, T. and STǍRICǍ, C. (2000). Is it really long memory we see in financial returns? In Extremes and Integrated Risk Management (P. Embrechts, ed.) 149-168. Risk Books, London.
    • (2000) Extremes and Integrated Risk Management , pp. 149-168
    • MIKOSCH, T.1    STǍRICǍ, C.2
  • 24
    • 51049116916 scopus 로고    scopus 로고
    • MIKOSCH, T. and STǍRICǍ, C. (2003). Long-range dependence effects and ARCH modelling. In Theory and Applications of Long Range Dependence (P. Doukhan, G. Oppenheim and M. S. Taqqu, eds.) 439-459. Birkhäuser, Boston. MR/1957503
    • MIKOSCH, T. and STǍRICǍ, C. (2003). Long-range dependence effects and ARCH modelling. In Theory and Applications of Long Range Dependence (P. Doukhan, G. Oppenheim and M. S. Taqqu, eds.) 439-459. Birkhäuser, Boston. MR/1957503
  • 25
    • 12144287086 scopus 로고    scopus 로고
    • Non-stationarities in financial time series, the long-range dependence, and the IGARCH effects
    • MIKOSCH, T. and STǍRICǍ, C. (2004). Non-stationarities in financial time series, the long-range dependence, and the IGARCH effects. Rev. Econ. Statist. 86 378-390.
    • (2004) Rev. Econ. Statist , vol.86 , pp. 378-390
    • MIKOSCH, T.1    STǍRICǍ, C.2
  • 26
    • 58849119390 scopus 로고    scopus 로고
    • T. Andersen, R. A. Davis, J.-P. Kreiss and T. Mikosch, eds, Springer, New York. To appear
    • PAPARODITIS, E. and POLITIS, D. N. (2007). Resampling and subsampling for financial time series. In Handbook of Financial Time Series (T. Andersen, R. A. Davis, J.-P. Kreiss and T. Mikosch, eds.). Springer, New York. To appear.
    • (2007) Resampling and subsampling for financial time series
    • PAPARODITIS, E.1    POLITIS, D.N.2
  • 27
    • 0001790102 scopus 로고    scopus 로고
    • Statistical aspects of ARCH and stochastic volatility
    • D. R. Cox, D. V. Hinkley and O. E. Barndorff-Nielsen, eds, Chapman and Hall, London
    • SHEPHARD, N. (1996). Statistical aspects of ARCH and stochastic volatility. In Time Series Models in Econometric, Finance and Other Fields (D. R. Cox, D. V. Hinkley and O. E. Barndorff-Nielsen, eds.) 1-67. Chapman and Hall, London.
    • (1996) Time Series Models in Econometric, Finance and Other Fields , pp. 1-67
    • SHEPHARD, N.1
  • 28
    • 51049086014 scopus 로고    scopus 로고
    • STRAUMANN, D. (2005). Estimation in Conditionally Heteroscedastic Time Series Models. Springer, New York. MR2142271
    • STRAUMANN, D. (2005). Estimation in Conditionally Heteroscedastic Time Series Models. Springer, New York. MR2142271
  • 29
    • 33947141799 scopus 로고    scopus 로고
    • Is GARCH(1,1) as good a model as the Nobel prize accolades would imply?
    • Preprint
    • STǍRICǍ, C. (2003). Is GARCH(1,1) as good a model as the Nobel prize accolades would imply? Preprint.
    • (2003)
    • STǍRICǍ, C.1
  • 30
    • 23844552784 scopus 로고    scopus 로고
    • Non-stationarities in stock returns
    • STǍRICǍ, C. and GRANGER, C. W. J. (2005). Non-stationarities in stock returns. Rev. Econ. Statist. 87 503-522.
    • (2005) Rev. Econ. Statist , vol.87 , pp. 503-522
    • STǍRICǍ, C.1    GRANGER, C.W.J.2
  • 31
    • 33846963859 scopus 로고    scopus 로고
    • On some nonstationary, nonlinear random processes and their stationary approximations
    • MR2285698
    • SUBBA RAO, S. (2006). On some nonstationary, nonlinear random processes and their stationary approximations. Adv. in Appl. Probab. 38 1153-1172. MR2285698
    • (2006) Adv. in Appl. Probab , vol.38 , pp. 1153-1172
    • SUBBA RAO, S.1


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