메뉴 건너뛰기




Volumn 282, Issue 4, 2009, Pages 632-636

Almost sure central limit theorem for partial sums and maxima

Author keywords

Almost sure central limit theorem; Extreme value distribution; Partial sums and maxima; Stable distribution

Indexed keywords


EID: 67449127241     PISSN: 0025584X     EISSN: 15222616     Source Type: Journal    
DOI: 10.1002/mana.200610760     Document Type: Article
Times cited : (18)

References (16)
  • 1
    • 0004619813 scopus 로고
    • Limiting joint distributions of sums and maxima in a statistical context
    • C. W. Anderson and K. F. Turkman, Limiting joint distributions of sums and maxima in a statistical context, Theory Probab. Appl. 37, 314-316 (1993).
    • (1993) Theory Probab. Appl. , vol.37 , pp. 314-316
    • Anderson, C.W.1    Turkman, K.F.2
  • 2
    • 18044404194 scopus 로고    scopus 로고
    • A universal result in almost sure central limit theory
    • I. Berkes and E. Csáki, A universal result in almost sure central limit theory, Stochastic Process. Appl. 94, 105-134 (2001).
    • (2001) Stochastic Process. Appl. , vol.94 , pp. 105-134
    • Berkes, I.1    Csáki, E.2
  • 3
    • 0032518006 scopus 로고    scopus 로고
    • Almost sure central limit theorems under minimal conditions
    • I. Berkes, E. Csáki, and L. Horvath, Almost sure central limit theorems under minimal conditions, Stastist. Probab. Lett. 37, 67-76 (1998).
    • (1998) Stastist. Probab. Lett. , vol.37 , pp. 67-76
    • Berkes, I.1    Csáki, E.2    Horvath, L.3
  • 4
    • 0011118521 scopus 로고
    • Counterexamples related to the a.s. central limit theorem
    • I. Berkes, H. Dehling, and T. F. Mori, Counterexamples related to the a.s. central limit theorem, Studia Sci. Math. Hungar. 26, 153-164 (1991).
    • (1991) Studia Sci. Math. Hungar. , vol.26 , pp. 153-164
    • Berkes, I.1    Dehling, H.2    Mori, T.F.3
  • 5
    • 84976180582 scopus 로고
    • An almost everywhere central limit theorem
    • G. A. Brosamler, An almost everywhere central limit theorem,Math. Proc. Cambridge Philos. Soc. 104, 561-574 (1988).
    • (1988) Math. Proc. Cambridge Philos. Soc. , vol.104 , pp. 561-574
    • Brosamler, G.A.1
  • 6
    • 0002038995 scopus 로고    scopus 로고
    • Almost sure convergence in extreme value theory
    • S. Cheng, L. Peng, and Y. Qi, Almost sure convergence in extreme value theory, Math. Nachr. 190, 43-50 (1998).
    • (1998) Math. Nachr. , vol.190 , pp. 43-50
    • Cheng, S.1    Peng, L.2    Qi, Y.3
  • 8
    • 0036603213 scopus 로고    scopus 로고
    • Almost sure limit theorems for the maximum of stationary Gaussian sequences
    • E. Csáki and K. Gonchigdanzan, Almost sure limit theorems for the maximum of stationary Gaussian sequences, Stastist. Probab. Lett. 58, 195-203 (2002).
    • (2002) Stastist. Probab. Lett. , vol.58 , pp. 195-203
    • Csáki, E.1    Gonchigdanzan, K.2
  • 10
    • 0000445967 scopus 로고
    • A note on the asymptotic independence of the sum and maximum of strongly mixing stationary random variables
    • T. Hsing, A note on the asymptotic independence of the sum and maximum of strongly mixing stationary random variables, Ann. Probab. 2, 938-947 (1995).
    • (1995) Ann. Probab. , vol.2 , pp. 938-947
    • Hsing, T.1
  • 11
    • 0033622215 scopus 로고    scopus 로고
    • On the almost sure limit theorems
    • I. Ibragimov and M. Lifshits, On the almost sure limit theorems, Theory Prob. Appl. 44, 254-272 (1999).
    • (1999) Theory Prob. Appl. , vol.44 , pp. 254-272
    • Ibragimov, I.1    Lifshits, M.2
  • 13
    • 0001618801 scopus 로고
    • A note on the almost sure central limit theorem
    • M. T. Lacey and W. Philipp, A note on the almost sure central limit theorem, Stastist. Probab. Lett. 9, 201-205 (1990).
    • (1990) Stastist. Probab. Lett. , vol.9 , pp. 201-205
    • Lacey, M.T.1    Philipp, W.2
  • 15
    • 84985410727 scopus 로고
    • On strong versions of the central limit theorem
    • P. Schatte, On strong versions of the central limit theorem, Math. Nachr. 137, 249-256 (1988).
    • (1988) Math. Nachr. , vol.137 , pp. 249-256
    • Schatte, P.1
  • 16
    • 0000269019 scopus 로고
    • On the central limit theorem with almost sure convergence
    • P. Schatte, On the central limit theorem with almost sure convergence, Probab. Math. Statist. 11, 237-246 (1991).
    • (1991) Probab. Math. Statist. , vol.11 , pp. 237-246
    • Schatte, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.