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Volumn 10, Issue 2, 1997, Pages 507-555

On Quantiles and the Central Limit Question for Strongly Mixing Sequences

Author keywords

Central limit question; Quantiles; Strong mixing

Indexed keywords


EID: 0031490760     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022624919588     Document Type: Article
Times cited : (30)

References (25)
  • 1
    • 0043086010 scopus 로고
    • Private communication
    • Berbee, H. C. P. (1981). Private communication.
    • (1981)
    • Berbee, H.C.P.1
  • 2
    • 0000963886 scopus 로고
    • On the central limit theorem for stationary mixing random fields
    • Bolthausen, E. (1982). On the central limit theorem for stationary mixing random fields. Ann. Prob. 10, 1047-1050.
    • (1982) Ann. Prob. , vol.10 , pp. 1047-1050
    • Bolthausen, E.1
  • 3
    • 0043086011 scopus 로고
    • Information regularity and the central limit question
    • Bradley, R. C. (1983). Information regularity and the central limit question. Rocky Mountain J. Math. 13, 77-97.
    • (1983) Rocky Mountain J. Math. , vol.13 , pp. 77-97
    • Bradley, R.C.1
  • 4
    • 0041583232 scopus 로고
    • Counterexamples to the central limit theorem under strong mixing conditions
    • Revesz, P. (ed.), Veszprém (Hungary), 1982. North Holland, Amsterdam
    • Bradley, R. C. (1985). Counterexamples to the central limit theorem under strong mixing conditions. In Revesz, P. (ed.), Colloquia Mathematica Societatis János Bolyai 36. Limit Theorems in Probability and Statistics, Veszprém (Hungary), 1982. North Holland, Amsterdam, pp. 153-172.
    • (1985) Colloquia Mathematica Societatis János Bolyai 36. Limit Theorems in Probability and Statistics , pp. 153-172
    • Bradley, R.C.1
  • 5
    • 0011592870 scopus 로고
    • On the central limit question under absolute regularity
    • Bradley, R. C. (1985). On the central limit question under absolute regularity. Ann. Prob. 13, 1314-1325.
    • (1985) Ann. Prob. , vol.13 , pp. 1314-1325
    • Bradley, R.C.1
  • 6
    • 0039841809 scopus 로고
    • A stationary, pairwise independent, absolutely regular sequence for which the central limit theorem fails
    • Bradley, R. C. (1989). A stationary, pairwise independent, absolutely regular sequence for which the central limit theorem fails. Prob. Th. Rel. Fields 81, 1-10.
    • (1989) Prob. Th. Rel. Fields , vol.81 , pp. 1-10
    • Bradley, R.C.1
  • 7
    • 0042585251 scopus 로고
    • On the strong mixing property for Markov chains with a countable number of states
    • Davydov, Yu. A. (1969). On the strong mixing property for Markov chains with a countable number of states. Soviet Math, Dokl. 10, 825-827.
    • (1969) Soviet Math, Dokl. , vol.10 , pp. 825-827
    • Davydov, Yu.A.1
  • 8
    • 0000137215 scopus 로고
    • Mixing conditions for Markov chains
    • Davydov, Yu. A. (1973). Mixing conditions for Markov chains. Th. Prob. Appl. 18, 312-328.
    • (1973) Th. Prob. Appl. , vol.18 , pp. 312-328
    • Davydov, Yu.A.1
  • 9
    • 0000061718 scopus 로고
    • Central limit theorems for mixing sequences of random variables under minimal conditions
    • Dehling, H., Denker, M., and Philipp, W. (1986). Central limit theorems for mixing sequences of random variables under minimal conditions. Ann. Prob. 14, 1359-1370.
    • (1986) Ann. Prob. , vol.14 , pp. 1359-1370
    • Dehling, H.1    Denker, M.2    Philipp, W.3
  • 10
    • 0040072248 scopus 로고
    • Uniform integrability and the central limit theorem for strongly mixing processes
    • Eberlein, E., and Taqqu, M.S. (eds.), Birkhäuser, Boston
    • Denker, M. (1986). Uniform integrability and the central limit theorem for strongly mixing processes. In Eberlein, E., and Taqqu, M.S. (eds.), Dependence in Probability and Statistics, Progress in Probability and Statistics, Vol. 11, Birkhäuser, Boston, pp. 269-274.
    • (1986) Dependence in Probability and Statistics, Progress in Probability and Statistics , vol.11 , pp. 269-274
    • Denker, M.1
  • 11
    • 0002297676 scopus 로고
    • The functional central limit theorem for strongly mixing processes
    • Doukhan, P., Massart, P., and Rio, E. (1994). The functional central limit theorem for strongly mixing processes. Ann. Inst. H. Poincaré Prob. Statist. 30, 63-82.
    • (1994) Ann. Inst. H. Poincaré Prob. Statist. , vol.30 , pp. 63-82
    • Doukhan, P.1    Massart, P.2    Rio, E.3
  • 12
    • 0039250154 scopus 로고
    • Stationary strongly mixing sequences not satisfying the central limit theorem
    • Herrndorf, N. (1983). Stationary strongly mixing sequences not satisfying the central limit theorem. Ann. Prob. 11, 809-813.
    • (1983) Ann. Prob. , vol.11 , pp. 809-813
    • Herrndorf, N.1
  • 13
    • 0002158552 scopus 로고
    • A functional central limit theorem for strongly mixing sequences of random variables
    • Herrndorf, N. ( 1985). A functional central limit theorem for strongly mixing sequences of random variables. Z. Wahrsch. verw. Gebiete 69, 541-550.
    • (1985) Z. Wahrsch. Verw. Gebiete , vol.69 , pp. 541-550
    • Herrndorf, N.1
  • 14
    • 0000636504 scopus 로고
    • Some limit theorems for stationary processes
    • Ibragimov, I. A. (1962). Some limit theorems for stationary processes. Th. Prob. Appl. 7, 349-382.
    • (1962) Th. Prob. Appl. , vol.7 , pp. 349-382
    • Ibragimov, I.A.1
  • 18
    • 0002349785 scopus 로고
    • A note on the central limit theorem for stationary strong-mixing sequences
    • Mori, T., and Yoshihara, K. (1986). A note on the central limit theorem for stationary strong-mixing sequences. Yokohama Math. J. 34, 143-146.
    • (1986) Yokohama Math. J. , vol.34 , pp. 143-146
    • Mori, T.1    Yoshihara, K.2
  • 19
    • 38249008563 scopus 로고
    • On the central limit theorem for weakly dependent sequences with a decomposed strong mixing coefficient
    • Peligrad, M. (1992). On the central limit theorem for weakly dependent sequences with a decomposed strong mixing coefficient. Stoch. Proc. Appl. 42, 181-193.
    • (1992) Stoch. Proc. Appl. , vol.42 , pp. 181-193
    • Peligrad, M.1
  • 20
    • 21344451010 scopus 로고    scopus 로고
    • On the asymptotic normality of sequences of weak dependent random variables
    • Peligrad, M. (1996). On the asymptotic normality of sequences of weak dependent random variables. J. Th. Prob. 9, 703-715.
    • (1996) J. Th. Prob. , vol.9 , pp. 703-715
    • Peligrad, M.1
  • 22
    • 0000121117 scopus 로고
    • Covariance inequalities for strongly mixing processes
    • Rio, E. (1993). Covariance inequalities for strongly mixing processes. Ann. Inst. H. Poincaré Prob. Stat. 29, 587-597.
    • (1993) Ann. Inst. H. Poincaré Prob. Stat. , vol.29 , pp. 587-597
    • Rio, E.1
  • 23
    • 0001507728 scopus 로고
    • The functional law of the iterated logarithm for stationary strongly mixing sequences
    • Rio, E. (1995). The functional law of the iterated logarithm for stationary strongly mixing sequences. Ann. Prob. 23, 1188-1203.
    • (1995) Ann. Prob. , vol.23 , pp. 1188-1203
    • Rio, E.1
  • 24
    • 0002605356 scopus 로고
    • A central limit theorem and a strong mixing condition
    • Rosenblatt, M. (1956). A central limit theorem and a strong mixing condition. Proc. Nat'l. Acad. Sci. U.S.A. 42, 43-47.
    • (1956) Proc. Nat'l. Acad. Sci. U.S.A. , vol.42 , pp. 43-47
    • Rosenblatt, M.1
  • 25
    • 0000753060 scopus 로고
    • Some limit theorems for random functions I
    • Volkonskii, V. A., and Rozanov, Yu. A. (1959). Some limit theorems for random functions I. Th. Prob. Appl. 4, 178-197.
    • (1959) Th. Prob. Appl. , vol.4 , pp. 178-197
    • Volkonskii, V.A.1    Rozanov, Yu.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.