메뉴 건너뛰기




Volumn 46, Issue 3, 2000, Pages 217-227

An adaptive optimal estimate of the tail index for MA(l) time series

Author keywords

Regular variation; Tail index

Indexed keywords


EID: 0042123000     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(99)00099-1     Document Type: Article
Times cited : (11)

References (20)
  • 2
    • 0000514094 scopus 로고
    • The use of subseries values for estimating the variance of a general statistic from a stationary sequence
    • Carlstein E. The use of subseries values for estimating the variance of a general statistic from a stationary sequence. Ann. Statist. 14:1986;1171-1179.
    • (1986) Ann. Statist. , vol.14 , pp. 1171-1179
    • Carlstein, E.1
  • 3
    • 0007188037 scopus 로고    scopus 로고
    • Using a bootstrap method to choose the sample fraction in the tail index estimation
    • Erasmus University, Rotterdam
    • Danielsson, J., de Haan, L., Peng, L., de Vries, C.G., 1997. Using a bootstrap method to choose the sample fraction in the tail index estimation. Technical Report. Erasmus University, Rotterdam.
    • (1997) Technical Report
    • Danielsson, J.1    De Haan, L.2    Peng, L.3    De Vries, C.G.4
  • 4
    • 7844242543 scopus 로고
    • Inference for the tail parameters of a linear process with heavy tailed innovations
    • Datta S., McCormick W.P. Inference for the tail parameters of a linear process with heavy tailed innovations. Ann. Inst. Stat. Math. 50:1995;337-359.
    • (1995) Ann. Inst. Stat. Math. , vol.50 , pp. 337-359
    • Datta, S.1    McCormick, W.P.2
  • 5
    • 0001760675 scopus 로고
    • A moment estimator for the index of an extreme value distribution
    • Dekkers A.L.M., Einmahl J.H.J., de Haan L. A moment estimator for the index of an extreme value distribution. Ann. Statist. 17:1989;1833-1855.
    • (1989) Ann. Statist. , vol.17 , pp. 1833-1855
    • Dekkers, A.L.M.1    Einmahl, J.H.J.2    De Haan, L.3
  • 6
    • 0001080355 scopus 로고
    • Optimal choice of sample fraction in extreme-value estimation
    • Dekkers A.L.M., de Haan L. Optimal choice of sample fraction in extreme-value estimation. J. Multivariate Anal. 47:1993;173-195.
    • (1993) J. Multivariate Anal. , vol.47 , pp. 173-195
    • Dekkers, A.L.M.1    De Haan, L.2
  • 7
    • 0042191266 scopus 로고    scopus 로고
    • Selecting the optimal sample fraction in univariate extreme value estimation
    • University of Cologne
    • Drees, H., Kaufmann, E., 1997. Selecting the optimal sample fraction in univariate extreme value estimation. Technical Report. University of Cologne.
    • (1997) Technical Report
    • Drees, H.1    Kaufmann, E.2
  • 9
    • 0031232406 scopus 로고    scopus 로고
    • Second-order regular variation, convolution and the central limit theorem
    • Geluk J., de Haan L., Resnick S., Starica C. Second-order regular variation, convolution and the central limit theorem. Stochastic Process. Appl. 69:1997;139-159.
    • (1997) Stochastic Process. Appl. , vol.69 , pp. 139-159
    • Geluk, J.1    De Haan, L.2    Resnick, S.3    Starica, C.4
  • 10
    • 0032330687 scopus 로고    scopus 로고
    • Comparison of tail index estimators
    • de Haan L., Peng L. Comparison of tail index estimators. Statist. Neerlandica. 52:1998;60-70.
    • (1998) Statist. Neerlandica , vol.52 , pp. 60-70
    • De Haan, L.1    Peng, L.2
  • 11
    • 0042692430 scopus 로고    scopus 로고
    • Estimating the index of a stable distribution
    • to appear
    • de Haan, L., Pereira, T.T., 1998. Estimating the index of a stable distribution, Statist. Probab. Lett., to appear.
    • (1998) Statist. Probab. Lett.
    • De Haan, L.1    Pereira, T.T.2
  • 12
    • 0000831975 scopus 로고
    • Using the bootstrap to estimate mean squared error and selecting parameter in nonparametric problems
    • Hall P. Using the bootstrap to estimate mean squared error and selecting parameter in nonparametric problems. J. Multivariate Anal. 32:1990;177-203.
    • (1990) J. Multivariate Anal. , vol.32 , pp. 177-203
    • Hall, P.1
  • 13
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill B.M. A simple general approach to inference about the tail of a distribution. Ann. Statist. 3:1975;1163-1174.
    • (1975) Ann. Statist. , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 14
    • 0000234372 scopus 로고
    • On tail estimation using dependent data
    • Hsing T. On tail estimation using dependent data. Ann. Statist. 19:1991;1547-1569.
    • (1991) Ann. Statist. , vol.19 , pp. 1547-1569
    • Hsing, T.1
  • 16
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands J. Statistical inference using extreme order statistics. Ann. Statist. 3(1):1975;119-131.
    • (1975) Ann. Statist. , vol.3 , Issue.1 , pp. 119-131
    • Pickands, J.1
  • 17
    • 21844502279 scopus 로고
    • Consistency of Hill's estimator for dependent data
    • Resnick S., Starica C. Consistency of Hill's estimator for dependent data. J. Appl. Probab. 32:1995;139-167.
    • (1995) J. Appl. Probab. , vol.32 , pp. 139-167
    • Resnick, S.1    Starica, C.2
  • 18
    • 0003510097 scopus 로고    scopus 로고
    • Tail index estimation for dependent data
    • Cornell University
    • Resnick, S., Starica, C., 1996. Tail index estimation for dependent data. Technical Report. Cornell University.
    • (1996) Technical Report
    • Resnick, S.1    Starica, C.2
  • 19
    • 0032222171 scopus 로고    scopus 로고
    • On the distribution of tail array sums for strongly mixing stationary sequences
    • Rootzen H., Leadbetter M., de Haan L. On the distribution of tail array sums for strongly mixing stationary sequences. Ann. Appl. Probab. 8:1997;868-885.
    • (1997) Ann. Appl. Probab. , vol.8 , pp. 868-885
    • Rootzen, H.1    Leadbetter, M.2    De Haan, L.3
  • 20
    • 0001565579 scopus 로고
    • On a stochastic difference equation and a representation of non-negative infinitely divisible random variables
    • Vervaat W. On a stochastic difference equation and a representation of non-negative infinitely divisible random variables. Adv. Appl. Probab. 11:1979;750-783.
    • (1979) Adv. Appl. Probab. , vol.11 , pp. 750-783
    • Vervaat, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.