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Volumn 35, Issue 4, 1997, Pages 381-394

Equivalences in strong limit theorems for renewal counting processes

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EID: 0031280730     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00036-9     Document Type: Article
Times cited : (21)

References (13)
  • 1
    • 84968512234 scopus 로고
    • Convergence rates in the law of large numbers
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    • (1965) Trans. Amer. Math. Soc. , vol.120 , pp. 108-123
    • Baum, L.E.1    Katz, M.2
  • 3
    • 0000557864 scopus 로고
    • A limit theorem for random variables with infinite moments
    • Feller, W., 1946. A limit theorem for random variables with infinite moments. Amer. J. Math. 68, 257-262.
    • (1946) Amer. J. Math. , vol.68 , pp. 257-262
    • Feller, W.1
  • 5
    • 0000653864 scopus 로고
    • On the law of the iterated logarithm
    • Hartman, P., Wintner, A., 1941. On the law of the iterated logarithm. Amer. J. Math. 63, 1, 169-176.
    • (1941) Amer. J. Math. , vol.63 , Issue.1 , pp. 169-176
    • Hartman, P.1    Wintner, A.2
  • 6
    • 0001741114 scopus 로고
    • The equivalence of functional central limit theorems for counting processes and associated partial sums
    • Iglehart, D.I., Whitt, W., 1971. The equivalence of functional central limit theorems for counting processes and associated partial sums. Ann. Math. Statist. 42, 1372-1378.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1372-1378
    • Iglehart, D.I.1    Whitt, W.2
  • 7
    • 0001274342 scopus 로고
    • The limit points of a normalized random walk
    • Kesten, H., 1970. The limit points of a normalized random walk. Ann. Math. Statist. 41 (4) 1143-1205.
    • (1970) Ann. Math. Statist. , vol.41 , Issue.4 , pp. 1143-1205
    • Kesten, H.1
  • 8
    • 0002923964 scopus 로고
    • Sur les fonctions indépendantes
    • Marcinkiewicz, J., Zygmund, A., 1937. Sur les fonctions indépendantes. Fund. Math. 29, 60-90.
    • (1937) Fund. Math. , vol.29 , pp. 60-90
    • Marcinkiewicz, J.1    Zygmund, A.2
  • 9
    • 0010802452 scopus 로고
    • A converse to the law of the iterated logarithm for a random walk
    • Martikainen, A.I., 1980. A converse to the law of the iterated logarithm for a random walk. Theory Probab. Appl. 25, 361-362.
    • (1980) Theory Probab. Appl. , vol.25 , pp. 361-362
    • Martikainen, A.I.1
  • 11
    • 0002058266 scopus 로고
    • General one-sided laws of the iterated logarithm
    • Pruitt, W.E., 1981. General one-sided laws of the iterated logarithm. Ann. Probab. 9, 1-48.
    • (1981) Ann. Probab. , vol.9 , pp. 1-48
    • Pruitt, W.E.1
  • 12
    • 0010806577 scopus 로고
    • On the converse to the iterated logarithm law
    • Rosalsky, A., 1980. On the converse to the iterated logarithm law. Sankhya Ser. A42, 103-108.
    • (1980) Sankhya Ser. , vol.A42 , pp. 103-108
    • Rosalsky, A.1
  • 13
    • 34250446904 scopus 로고
    • Functional central limit theorems for processes with positive drift and their inverses
    • Vervaat, W., 1972. Functional central limit theorems for processes with positive drift and their inverses. Z. Wahrsch. Verw. Gebiete 23, 245-253.
    • (1972) Z. Wahrsch. Verw. Gebiete , vol.23 , pp. 245-253
    • Vervaat, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.