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Volumn 25, Issue 5, 1997, Pages 2084-2102

Empirical likelihood methods with weakly dependent processes

Author keywords

Bartlett correction; Edgeworth expansion; Empirical likelihood; Estimating function; Generalized method of moments; Nonparametric likelihood; Spectral density; Strong mixing; Time series regression; Weak dependence

Indexed keywords


EID: 0031529223     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1069362388     Document Type: Article
Times cited : (301)

References (56)
  • 1
    • 0000931301 scopus 로고
    • On the validity of the formal edgeworth expansion
    • BHATTACHARYA, R. N. and GHOSH, J. K. (1978). On the validity of the formal Edgeworth expansion. Ann. Statist. 6 434-451.
    • (1978) Ann. Statist. , vol.6 , pp. 434-451
    • Bhattacharya, R.N.1    Ghosh, J.K.2
  • 3
    • 4243482091 scopus 로고
    • The blockwise bootstrap for general parameters of a stationary time series
    • ETH Zürich
    • BÜHLMANN, P. and KÜNSCH, H. R. (1993). The blockwise bootstrap for general parameters of a stationary time series. Research Report 70, ETH Zürich.
    • (1993) Research Report 70
    • Bühlmann, P.1    Künsch, H.R.2
  • 4
    • 0000514094 scopus 로고
    • The use of subseries values for estimating the variance of a general statistic from stationary sequence
    • CARLSTEIN, E. (1986). The use of subseries values for estimating the variance of a general statistic from stationary sequence. Ann. Statist. 14 1171-1179.
    • (1986) Ann. Statist. , vol.14 , pp. 1171-1179
    • Carlstein, E.1
  • 5
    • 0001315746 scopus 로고
    • Empirical likelihood estimation for finite population and the effective usage of auxiliary information
    • CHEN, J. and QIN, J. (1993). Empirical likelihood estimation for finite population and the effective usage of auxiliary information. Biometrika 80 107-116.
    • (1993) Biometrika , vol.80 , pp. 107-116
    • Chen, J.1    Qin, J.2
  • 6
    • 0000166860 scopus 로고
    • On the accuracy of empirical likelihood confidence regions for linear regression models
    • CHEN, S. X. (1993). On the accuracy of empirical likelihood confidence regions for linear regression models. Ann. Inst. Statist. Math. 45 621-637.
    • (1993) Ann. Inst. Statist. Math. , vol.45 , pp. 621-637
    • Chen, S.X.1
  • 7
    • 0037538219 scopus 로고
    • Comparing empirical likelihood and bootstrap hypothesis tests
    • CHEN, S. X. (1994a). Comparing empirical likelihood and bootstrap hypothesis tests. J. Multivariate Anal. 51 277-293.
    • (1994) J. Multivariate Anal. , vol.51 , pp. 277-293
    • Chen, S.X.1
  • 8
    • 38149147915 scopus 로고
    • Empirical likelihood confidence intervals for linear regression coefficients
    • CHEN, S. X. (1994b). Empirical likelihood confidence intervals for linear regression coefficients. J. Multivariate Anal. 49 24-40.
    • (1994) J. Multivariate Anal. , vol.49 , pp. 24-40
    • Chen, S.X.1
  • 9
    • 21344487734 scopus 로고
    • Smoothed empirical likelihood confidence intervals for quantiles
    • CHEN, S. X. and HALL, P. (1993). Smoothed empirical likelihood confidence intervals for quantiles. Ann. Statist. 21 1166-1181.
    • (1993) Ann. Statist. , vol.21 , pp. 1166-1181
    • Chen, S.X.1    Hall, P.2
  • 11
    • 84990517365 scopus 로고
    • On studentizing and blocking methods for implementing the bootstrap with dependent data
    • DAVISON, A. C. and HALL, P. (1993). On studentizing and blocking methods for implementing the bootstrap with dependent data. Austral. J. Statist. 35 215-224.
    • (1993) Austral. J. Statist. , vol.35 , pp. 215-224
    • Davison, A.C.1    Hall, P.2
  • 12
    • 0006795629 scopus 로고
    • Bartlett adjustment for empirical likelihood
    • Dept. Statistics, Stanford Univ
    • DICICCIO, T., HALL, P. and ROMANO, J. (1988). Bartlett adjustment for empirical likelihood. Technical Report 298, Dept. Statistics, Stanford Univ.
    • (1988) Technical Report 298
    • Diciccio, T.1    Hall, P.2    Romano, J.3
  • 13
    • 0040956669 scopus 로고
    • Comparison of parametric and empirical likelihood functions
    • DICICCIO, T., HALL, P. and ROMANO, J. (1989). Comparison of parametric and empirical likelihood functions. Biometrika 76 465-476.
    • (1989) Biometrika , vol.76 , pp. 465-476
    • Diciccio, T.1    Hall, P.2    Romano, J.3
  • 14
    • 0000143319 scopus 로고
    • Empirical likelihood is bartlett-correctable
    • DICICCIO, T., HALL, P. and ROMANO, J. (1991). Empirical likelihood is Bartlett-correctable. Ann. Statist. 19 1053-1061.
    • (1991) Ann. Statist. , vol.19 , pp. 1053-1061
    • Diciccio, T.1    Hall, P.2    Romano, J.3
  • 15
    • 0001535101 scopus 로고
    • On adjustments to the signed root of the empirical likelihood ratio statistics
    • DICICCIO, T. and ROMANO, J. (1989). On adjustments to the signed root of the empirical likelihood ratio statistics. Biometrika 76 447-456.
    • (1989) Biometrika , vol.76 , pp. 447-456
    • Diciccio, T.1    Romano, J.2
  • 16
    • 0002508638 scopus 로고
    • Nonparametric confidence limits by resampling methods and least favorable families
    • DICICCIO, T. and ROMANO, J. (1990). Nonparametric confidence limits by resampling methods and least favorable families. Internat. Statist. Rev. 58 59-76.
    • (1990) Internat. Statist. Rev. , vol.58 , pp. 59-76
    • Diciccio, T.1    Romano, J.2
  • 19
    • 0000299549 scopus 로고
    • Asymptotic expansions for sums of weakly dependent random vectors
    • GÖTZE, F. and HIPP, C. (1983). Asymptotic expansions for sums of weakly dependent random vectors. Z. Wahrsch. Verw. Gebiete 64 211-239.
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.64 , pp. 211-239
    • Götze, F.1    Hipp, C.2
  • 20
    • 0010936382 scopus 로고    scopus 로고
    • Second order correctness of the blockwise bootstrap for stationary observations
    • GÖTZE, F. and KÜNSCH, H. R. (1996). Second order correctness of the blockwise bootstrap for stationary observations. Ann. Statist. 24 1914-1933.
    • (1996) Ann. Statist. , vol.24 , pp. 1914-1933
    • Götze, F.1    Künsch, H.R.2
  • 21
    • 25844455430 scopus 로고
    • Resampling a coverage process
    • HALL, P. (1985). Resampling a coverage process. Stochastic Process. Appl. 19 259-269.
    • (1985) Stochastic Process. Appl. , vol.19 , pp. 259-269
    • Hall, P.1
  • 22
    • 0009268822 scopus 로고
    • Pseudo-likelihood theory for empirical likelihood
    • HALL, P. (1990). Pseudo-likelihood theory for empirical likelihood. Ann. Statist. 18 121-140.
    • (1990) Ann. Statist. , vol.18 , pp. 121-140
    • Hall, P.1
  • 25
    • 0000860086 scopus 로고
    • Methodology and algorithms of empirical likelihood
    • HALL, P. and LA SCALA, B. (1990). Methodology and algorithms of empirical likelihood. Internat. Statist. Rev. 58 109-127.
    • (1990) Internat. Statist. Rev. , vol.58 , pp. 109-127
    • Hall, P.1    La Scala, B.2
  • 26
    • 0000414660 scopus 로고
    • Large sample properties of generalized method of moments estimators
    • HANSEN, L. P. (1982). Large sample properties of generalized method of moments estimators. Econometrica 50 1029-1054.
    • (1982) Econometrica , vol.50 , pp. 1029-1054
    • Hansen, L.P.1
  • 27
    • 85017108575 scopus 로고
    • Generalized instrumental variables estimation of nonlinear rational expectation models
    • HANSEN, L. P. and SINGLETON, K. J. (1982). Generalized instrumental variables estimation of nonlinear rational expectation models. Econometrica 50 1269-1286.
    • (1982) Econometrica , vol.50 , pp. 1269-1286
    • Hansen, L.P.1    Singleton, K.J.2
  • 28
    • 0000636504 scopus 로고
    • Some limit theorems for stationary processes
    • IBRAGIMOV, I. A. (1962). Some limit theorems for stationary processes. Theory Probab. Appl. 7 349-382.
    • (1962) Theory Probab. Appl. , vol.7 , pp. 349-382
    • Ibragimov, I.A.1
  • 31
    • 38249006520 scopus 로고
    • A note on moment bounds for strong mixing sequences
    • KIM, T. Y. (1993). A note on moment bounds for strong mixing sequences. Statist. Probab. Lett. 16 163-168.
    • (1993) Statist. Probab. Lett. , vol.16 , pp. 163-168
    • Kim, T.Y.1
  • 33
    • 0001051211 scopus 로고
    • Empirical likelihood for generalized linear models
    • KOLACZYK, E. D. (1994). Empirical likelihood for generalized linear models. Statist. Sinica 4 199-218.
    • (1994) Statist. Sinica , vol.4 , pp. 199-218
    • Kolaczyk, E.D.1
  • 34
    • 0000181737 scopus 로고
    • The jackknife and the bootstrap for general stationary observations
    • KÜNSCH, H. R. (1989). The jackknife and the bootstrap for general stationary observations. Ann. Statist. 17 1217-1241.
    • (1989) Ann. Statist. , vol.17 , pp. 1217-1241
    • Künsch, H.R.1
  • 35
    • 0003158522 scopus 로고
    • Second order optimality of stationary bootstrap
    • LAHIRI, S. N. (1991). Second order optimality of stationary bootstrap. Statist. Probab. Lett. 11 335-341.
    • (1991) Statist. Probab. Lett. , vol.11 , pp. 335-341
    • Lahiri, S.N.1
  • 36
    • 0002633365 scopus 로고
    • Edgeworth correction by 'moving block' bootstrap for stationary and nonstationary data
    • R. LePage and L. Billard, eds. Wiley, NewYork
    • LAHIRI, S. N. (1992). Edgeworth correction by 'moving block' bootstrap for stationary and nonstationary data. In Exploring the Limits of Bootstrap (R. LePage and L. Billard, eds.) 183-214. Wiley, New York.
    • (1992) Exploring the Limits of Bootstrap , pp. 183-214
    • Lahiri, S.N.1
  • 37
    • 21844524077 scopus 로고
    • Dual likelihood
    • MYKLAND, P. A. (1995). Dual likelihood. Ann. Statist. 23 396-421.
    • (1995) Ann. Statist. , vol.23 , pp. 396-421
    • Mykland, P.A.1
  • 38
    • 0000060427 scopus 로고
    • Empirical likelihood ratio confidence intervals for a single functional
    • OWEN, A. (1988). Empirical likelihood ratio confidence intervals for a single functional. Biometrika 75 237-249.
    • (1988) Biometrika , vol.75 , pp. 237-249
    • Owen, A.1
  • 39
    • 0002552463 scopus 로고
    • Empirical likelihood ratio confidence regions
    • OWEN, A. (1990). Empirical likelihood ratio confidence regions. Ann. Statist. 18 90-120.
    • (1990) Ann. Statist. , vol.18 , pp. 90-120
    • Owen, A.1
  • 40
    • 0001085733 scopus 로고
    • Empirical likelihood for linear models
    • OWEN, A. (1991). Empirical likelihood for linear models. Ann. Statist. 19 1725-1747.
    • (1991) Ann. Statist. , vol.19 , pp. 1725-1747
    • Owen, A.1
  • 41
    • 0001282503 scopus 로고
    • A general resampling scheme for triangular arrays of α-mixing random variables with application to the problem of spectral density estimation
    • POLITIS, D. N. and ROMANO, J. P. (1992). A general resampling scheme for triangular arrays of α-mixing random variables with application to the problem of spectral density estimation. Ann. Statist. 20 1985-2007.
    • (1992) Ann. Statist. , vol.20 , pp. 1985-2007
    • Politis, D.N.1    Romano, J.P.2
  • 42
    • 0002559639 scopus 로고
    • Nonparametric resampling for homogeneous strong mixing random fields
    • POLITIS, D. N. and ROMANO, J. P. (1993a). Nonparametric resampling for homogeneous strong mixing random fields. J. Multivariate Anal. 47 301-328.
    • (1993) J. Multivariate Anal. , vol.47 , pp. 301-328
    • Politis, D.N.1    Romano, J.P.2
  • 43
    • 38249001504 scopus 로고
    • On the sample variance of linear statistics derived from mixing sequences
    • POLITIS, D. N. and ROMANO, J. P. (1993b). On the sample variance of linear statistics derived from mixing sequences. Stochastic Process. Appl. 45 155-167.
    • (1993) Stochastic Process. Appl. , vol.45 , pp. 155-167
    • Politis, D.N.1    Romano, J.P.2
  • 44
    • 21844512391 scopus 로고
    • Large sample confidence regions based on subsamples under minimal assumptions
    • POLITIS, D. N. and ROMANO, J. P. (1994). Large sample confidence regions based on subsamples under minimal assumptions. Ann. Statist. 22 2031-2050.
    • (1994) Ann. Statist. , vol.22 , pp. 2031-2050
    • Politis, D.N.1    Romano, J.P.2
  • 46
    • 21344478044 scopus 로고
    • Empirical likelihood in biased sample problems
    • QIN, J. (1993). Empirical likelihood in biased sample problems. Ann. Statist. 21 1182-1196.
    • (1993) Ann. Statist. , vol.21 , pp. 1182-1196
    • Qin, J.1
  • 47
    • 0347609095 scopus 로고
    • Empirical likelihood and general estimating equations
    • QIN, J. and LAWLESS, J. (1994). Empirical likelihood and general estimating equations. Ann. Statist. 23 300-325.
    • (1994) Ann. Statist. , vol.23 , pp. 300-325
    • Qin, J.1    Lawless, J.2
  • 48
    • 84989446443 scopus 로고
    • Estimating equations, empirical likelihood and constraints on parameters
    • QIN, J. and LAWLESS, J. (1995). Estimating equations, empirical likelihood and constraints on parameters. Canad. J. Statist. 23 300-325.
    • (1995) Canad. J. Statist. , vol.23 , pp. 300-325
    • Qin, J.1    Lawless, J.2
  • 50
    • 0000824767 scopus 로고
    • On the asymptotic accuracy of efron's bootstrap
    • SINGH, K. (1981). On the asymptotic accuracy of Efron's bootstrap. Ann. Statist. 9 1187-1195.
    • (1981) Ann. Statist. , vol.9 , pp. 1187-1195
    • Singh, K.1
  • 51
    • 0000167944 scopus 로고
    • Note on the consistency of the maximum likelihood estimate
    • WALD, A. (1949). Note on the consistency of the maximum likelihood estimate. Ann. Math. Statist. 20 595-601.
    • (1949) Ann. Math. Statist. , vol.20 , pp. 595-601
    • Wald, A.1
  • 52
    • 84908144695 scopus 로고
    • The use of the fast fourier transform for estimation of spectra: A method based on time averaging over short, modified periodograms
    • WELCH, P. D. (1967). The use of the fast Fourier transform for estimation of spectra: a method based on time averaging over short, modified periodograms. IEEE Transactions on Audio and Electroacoustics AU-15 70-73.
    • (1967) IEEE Transactions on Audio and Electroacoustics , vol.AU-15 , pp. 70-73
    • Welch, P.D.1
  • 53
    • 0037549997 scopus 로고
    • On the wald's proof of the consistency of the maximum likelihood estimate
    • WOLFOWITZ, J. (1949). On the Wald's proof of the consistency of the maximum likelihood estimate. Ann. Math. Statist. 20 601-603.
    • (1949) Ann. Math. Statist. , vol.20 , pp. 601-603
    • Wolfowitz, J.1
  • 54
    • 0001989024 scopus 로고
    • Moment bounds for stationary mixing sequences
    • YOKOYAMA, R. (1980). Moment bounds for stationary mixing sequences. Z. Wahrsch. Verw. Gebiete 52 45-57.
    • (1980) Z. Wahrsch. Verw. Gebiete , vol.52 , pp. 45-57
    • Yokoyama, R.1
  • 55
    • 0040362511 scopus 로고
    • On the spectral density statistics obtained by means of time shift
    • ZHURBENKO, I. G. (1979). On the spectral density statistics obtained by means of time shift. Soviet Math. Dokl 20 547-552.
    • (1979) Soviet Math. Dokl , vol.20 , pp. 547-552
    • Zhurbenko, I.G.1


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