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Volumn 43, Issue 1, 1998, Pages 1-12

Integro-local limit theorems including large deviations for sums of random vectors. I

Author keywords

Asymptotic expansions; Cumulants; Deviation function; Integro local multidimensional central limit theorem; Large deviations; Rate function; The Cramer conditions

Indexed keywords


EID: 0032235942     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0040585x97976623     Document Type: Article
Times cited : (22)

References (11)
  • 1
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    • Large deviations and testing of statistical hypotheses
    • A. A. BOROVKOV AND A. A. MOGULSKII, Large deviations and testing of statistical hypotheses, Siberian Advances in Mathematics, 2 (1992), N 3, pp. 52-120; N 4, pp. 43-72; 3 (1993), N 1, pp. 19-86; N 4, pp. 14-80.
    • (1992) Siberian Advances in Mathematics , vol.2 , Issue.3 , pp. 52-120
    • Borovkov, A.A.1    Mogulskii, A.A.2
  • 2
    • 0040191011 scopus 로고    scopus 로고
    • A. A. BOROVKOV AND A. A. MOGULSKII, Large deviations and testing of statistical hypotheses, Siberian Advances in Mathematics, 2 (1992), N 3, pp. 52-120; N 4, pp. 43-72; 3 (1993), N 1, pp. 19-86; N 4, pp. 14-80.
    • Siberian Advances in Mathematics , Issue.4 , pp. 43-72
  • 3
    • 0007216229 scopus 로고
    • A. A. BOROVKOV AND A. A. MOGULSKII, Large deviations and testing of statistical hypotheses, Siberian Advances in Mathematics, 2 (1992), N 3, pp. 52-120; N 4, pp. 43-72; 3 (1993), N 1, pp. 19-86; N 4, pp. 14-80.
    • (1993) Siberian Advances in Mathematics , vol.3 , Issue.1 , pp. 19-86
  • 4
    • 0040785448 scopus 로고    scopus 로고
    • A. A. BOROVKOV AND A. A. MOGULSKII, Large deviations and testing of statistical hypotheses, Siberian Advances in Mathematics, 2 (1992), N 3, pp. 52-120; N 4, pp. 43-72; 3 (1993), N 1, pp. 19-86; N 4, pp. 14-80.
    • Siberian Advances in Mathematics , Issue.4 , pp. 14-80
  • 6
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • R. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.1
  • 7
    • 0001505964 scopus 로고
    • On deviations of the sample mean
    • R. R. BAHADUR AND R. R. RANGA RAO, On deviations of the sample mean, Ann. Math. Statist., 31 (1966), pp. 1015-1027.
    • (1966) Ann. Math. Statist. , vol.31 , pp. 1015-1027
    • Bahadur, R.R.1    Ranga Rao, R.R.2
  • 8
    • 0040986298 scopus 로고
    • On conditional distributions related to large deviations
    • in Russian
    • A. A. BOROVKOV, On conditional distributions related to large deviations, Sib. Math. J., 36 (1995), pp. 493-509 (in Russian).
    • (1995) Sib. Math. J. , vol.36 , pp. 493-509
    • Borovkov, A.A.1
  • 9
    • 0000881436 scopus 로고
    • On the multidimensional central limit theorem
    • A. A. BOROVKOV AND B. A. ROGOZIN, On the multidimensional central limit theorem, Theory Probab. Appl., 10 (1965), pp. 55-63.
    • (1965) Theory Probab. Appl. , vol.10 , pp. 55-63
    • Borovkov, A.A.1    Rogozin, B.A.2
  • 10
    • 0000971593 scopus 로고
    • On the Cramer transformation, large deviations in the boundary problem and conditional invariance principle
    • A. A. BOROVKOV, On the Cramer transformation, large deviations in the boundary problem and conditional invariance principle, Sib. Math. J., 36 (1995), pp. 417-434.
    • (1995) Sib. Math. J. , vol.36 , pp. 417-434
    • Borovkov, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.