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Volumn 67, Issue 2, 1998, Pages 385-397

Multidimensional Limit Theorems Allowing Large Deviations for Densities of Regular Variation

Author keywords

Sums of i.i.d. random variables; maximal summand; local theorem for densities; marginal density

Indexed keywords


EID: 0005972258     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmva.1998.1773     Document Type: Article
Times cited : (4)

References (17)
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  • 3
    • 0007159384 scopus 로고
    • Large deviations and testing statistical hypotheses. I. Large deviations of sums of random vectors
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    • (1992) Siberian Adv. Math. , vol.2 , pp. 52-120
    • Borovkov, A.A.1    Mogulskii, A.A.2
  • 7
    • 0002470053 scopus 로고
    • Limit theorems involving large deviations when Cramer's condition is violated
    • Nagaev A. V. Limit theorems involving large deviations when Cramer's condition is violated. Izv. Akad. Nauk Uzbek. SSR, Ser. Fiz.-Mat. Nauk. 6:1969;17-22.
    • (1969) Izv. Akad. Nauk Uzbek. SSR, Ser. Fiz.-Mat. Nauk , vol.6 , pp. 17-22
    • Nagaev, A.V.1
  • 8
    • 0039220483 scopus 로고
    • Limit theorems for the sample coefficients of skewness and curtosis
    • Nagaev A. V. Limit theorems for the sample coefficients of skewness and curtosis. Dokl. AN SSSR. 198:1971;291-292.
    • (1971) Dokl. AN SSSR , vol.198 , pp. 291-292
    • Nagaev, A.V.1
  • 10
    • 0000895088 scopus 로고
    • Large deviations of sums of independent random variables
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    • Nagaev, S.V.1
  • 13
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    • A problem of large deviations in a space of trajectories
    • Pinelis I. F. A problem of large deviations in a space of trajectories. Teor. Verojatnost. I Primenen. 26:1981;73-87.
    • (1981) Teor. Verojatnost. I Primenen. , vol.26 , pp. 73-87
    • Pinelis, I.F.1
  • 15
    • 0039220471 scopus 로고
    • On probabilities of large deviations in some classes ofk
    • Rozovskii L. V. On probabilities of large deviations in some classes ofk. J. Multivariate Anal. 17:1985;1-26.
    • (1985) J. Multivariate Anal. , vol.17 , pp. 1-26
    • Rozovskii, L.V.1
  • 16
    • 0001618530 scopus 로고
    • On domains of attraction of multi-dimensional distributions
    • Rvačeva E. L. On domains of attraction of multi-dimensional distributions. Select. Transl. Math. Statist. Probab. 2:1962;183-205.
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    • Rvačeva, E.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.