메뉴 건너뛰기




Volumn 17, Issue 1, 2004, Pages 221-243

Necessary and sufficient condition for the functional central limit theorem in Hölder spaces

Author keywords

Central limit theorem in Banach spaces; H lder space; Invariance principle; Partial sums process

Indexed keywords


EID: 4043150792     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOTP.0000020482.66224.6c     Document Type: Article
Times cited : (30)

References (15)
  • 3
    • 0042069323 scopus 로고
    • Lipschitz smoothness and convergence with applications to the central limit theorem for summation processes
    • Erickson, R. V. (1981). Lipschitz smoothness and convergence with applications to the central limit theorem for summation processes. Ann. Probab. 9, 831-851.
    • (1981) Ann. Probab. , vol.9 , pp. 831-851
    • Erickson, R.V.1
  • 4
    • 0041568023 scopus 로고    scopus 로고
    • Invariance principles in Hölder spaces
    • Hamadouche, D. (2000). Invariance principles in Hölder spaces. Portugal. Math. 57, 127-151.
    • (2000) Portugal. Math. , vol.57 , pp. 127-151
    • Hamadouche, D.1
  • 5
    • 0000249839 scopus 로고
    • Une démonstration simple des théorèmes de Kolmogorov. Donsker, et Ito-Nisio
    • Kerkyacharian, G., and Roynette, B. (1991). Une démonstration simple des théorèmes de Kolmogorov, Donsker, et Ito-Nisio. C. R. Acad. Sci. Paris Sér. I Math. 312, 877-882.
    • (1991) C. R. Acad. Sci. Paris Sér. I Math. , vol.312 , pp. 877-882
    • Kerkyacharian, G.1    Roynette, B.2
  • 6
    • 0039336819 scopus 로고
    • The invariance principle for Banach space valued random variables
    • Kuelbs, J. (1973). The invariance principle for Banach space valued random variables. J. Multivariate Anal. 3, 161-172.
    • (1973) J. Multivariate Anal. , vol.3 , pp. 161-172
    • Kuelbs, J.1
  • 7
    • 0010208893 scopus 로고
    • On convergence of stochastic processes
    • Lamperti, J. (1962). On convergence of stochastic processes. Trans. Amer. Math. Soc. 104, 430-435.
    • (1962) Trans. Amer. Math. Soc. , vol.104 , pp. 430-435
    • Lamperti, J.1
  • 10
    • 4043156669 scopus 로고    scopus 로고
    • On the Hölderian functional central limit theorem for i.i.d. random elements in Banach space
    • Berkes, I., Csáki, E., Csörgö, M. (eds.), Balatonlelle 1999, János Bolyai Mathematical Society, Budapest
    • Račkauskas, A., and Suquet, C. (1998). On the Hölderian functional central limit theorem for i.i.d. random elements in Banach space. In Berkes, I., Csáki, E., Csörgö, M. (eds.), Limit Theorems in Probability and Statistics, Balatonlelle 1999, János Bolyai Mathematical Society, Budapest, 2002, Vol. 2, pp. 485-498.
    • (1998) Limit Theorems in Probability and Statistics , vol.2 , pp. 485-498
    • Račkauskas, A.1    Suquet, C.2
  • 11
    • 18044401000 scopus 로고    scopus 로고
    • Invariance principles for adaptive self-normalized partial sums processes
    • Račkauskas, A., and Suquet, C. (2001). Invariance principles for adaptive self-normalized partial sums processes. Stochastic Process. Appl. 95, 63-81.
    • (2001) Stochastic Process. Appl. , vol.95 , pp. 63-81
    • Račkauskas, A.1    Suquet, C.2
  • 12
    • 84975310138 scopus 로고    scopus 로고
    • Hölder versions of Banach spaces valued random fields
    • Račkauskas, A., and Suquet, C. (2001). Hölder versions of Banach spaces valued random fields. Georgian Math. J. 8(2), 347-362.
    • (2001) Georgian Math. J. , vol.8 , Issue.2 , pp. 347-362
    • Račkauskas, A.1    Suquet, C.2
  • 13
    • 0040755108 scopus 로고
    • Schauder bases in Banach spaces of continuous functions
    • Springer-Verlag, Berlin, Heidelberg, New York
    • Semadeni, Z. (1982). Schauder bases in Banach spaces of continuous functions. In Lecture Notes in Math., Vol. 918, Springer-Verlag, Berlin, Heidelberg, New York.
    • (1982) Lecture Notes in Math. , vol.918
    • Semadeni, Z.1
  • 14
    • 4043091687 scopus 로고    scopus 로고
    • Tightness in Schauder decomposable Banach spaces
    • Suquet, C. (1999). Tightness in Schauder decomposable Banach spaces. Amer. Math. Soc. Transl. Ser. 2 193, 201-224.
    • (1999) Amer. Math. Soc. Transl. Ser. 2 , vol.193 , pp. 201-224
    • Suquet, C.1
  • 15
    • 0000228838 scopus 로고
    • Isoperimetry and integrability of the sum of independent Banach-space valued random variables
    • Talagrand, M. (1989). Isoperimetry and integrability of the sum of independent Banach-space valued random variables. Ann. Probab. 17, 1546-1570.
    • (1989) Ann. Probab. , vol.17 , pp. 1546-1570
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.