메뉴 건너뛰기




Volumn 37, Issue 1, 1998, Pages 67-76

Almost sure central limit theorems under minimal conditions

Author keywords

A.s. central limit theorem; Logarithmic average; Wiener process

Indexed keywords


EID: 0032518006     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00101-6     Document Type: Article
Times cited : (24)

References (13)
  • 1
    • 0010022738 scopus 로고
    • A theorem of Feller revisited
    • Bai, Z.D., 1989. A theorem of Feller revisited. Ann. Probab. 17, 385-395.
    • (1989) Ann. Probab. , vol.17 , pp. 385-395
    • Bai, Z.D.1
  • 2
    • 84976180582 scopus 로고
    • An almost everywhere central limit theorem
    • Brosamler, G., 1988. An almost everywhere central limit theorem. Math. Proc. Cambridge Phil. Soc. 104, 561-574.
    • (1988) Math. Proc. Cambridge Phil. Soc. , vol.104 , pp. 561-574
    • Brosamler, G.1
  • 4
    • 0001422577 scopus 로고
    • Strong invariance principles for partial sums of independent random vectors
    • Einmahl, U., 1987. Strong invariance principles for partial sums of independent random vectors. Ann. Probab. 15, 1419-1440.
    • (1987) Ann. Probab. , vol.15 , pp. 1419-1440
    • Einmahl, U.1
  • 5
    • 0001305630 scopus 로고
    • The law of the iterated logarithm for identically distributed random variables
    • Feller, W., 1946. The law of the iterated logarithm for identically distributed random variables. Ann. Math. 47, 631-638.
    • (1946) Ann. Math. , vol.47 , pp. 631-638
    • Feller, W.1
  • 8
    • 0001407232 scopus 로고    scopus 로고
    • A strong approximation for logarithmic averages
    • Horváth, L., Khoshnevisan, D., 1996. A strong approximation for logarithmic averages. Studia Sci. Math. Hung. 31, 187-196.
    • (1996) Studia Sci. Math. Hung. , vol.31 , pp. 187-196
    • Horváth, L.1    Khoshnevisan, D.2
  • 9
    • 0003275708 scopus 로고
    • A strong approximation for logarithmic averages of partial sums of random variables
    • Hurelbaatar, G., 1995. A strong approximation for logarithmic averages of partial sums of random variables. Periodica Math. Hung. 31, 189-200.
    • (1995) Periodica Math. Hung. , vol.31 , pp. 189-200
    • Hurelbaatar, G.1
  • 10
    • 0001618801 scopus 로고
    • A note on the almost everywhere central limit theorem
    • Lacey, M., Philipp, W., 1990. A note on the almost everywhere central limit theorem. Statist. Probab. Lett. 9, 201-205.
    • (1990) Statist. Probab. Lett. , vol.9 , pp. 201-205
    • Lacey, M.1    Philipp, W.2
  • 12
    • 84985410727 scopus 로고
    • On strong versions of the central limit theorem
    • Schatte, P., 1988. On strong versions of the central limit theorem. Math. Nachr. 137, 249-256.
    • (1988) Math. Nachr. , vol.137 , pp. 249-256
    • Schatte, P.1
  • 13
    • 0000269019 scopus 로고
    • On the central limit theorem with almost sure convergence
    • Schatte, P., 1991. On the central limit theorem with almost sure convergence. Probab. Math. Statist. 11, 237-246.
    • (1991) Probab. Math. Statist. , vol.11 , pp. 237-246
    • Schatte, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.