대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제16권2호
  • /
  • Pages.163-204
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  • 2001
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Erdos-Renyi 법칙과 Gauss 과정의 극한이론

  • 최용갑 (경상대학교 자연과학대학 수학·통계정보학부)
  • 발행 : 2001.04.01
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⟨ 이전 논문 다음 논문 ⟩

초록

먼저 Erdos-Renyi의 새로운 강대수 법칙을 소개하고, 여러 가지 형태로 발전된 Erdos-Renyi 형의 법칙과 그 응용을 보여준다. 보다 더 일반적인 Erdos-Renyi형의 법칙과 그 응용을 보여준다. 보다 더 일반적인 Erdos-Renyi 형 법칙을 찾기 위해 Csorgo-Revesz 증분형태의 극한정리들을 소개하여 종속 mixing 조건이 주어진 정상 Gauss 확률변수들의 부분합에 대해 Csorgo-Revesz 증분형태의 새로운 극한정리들을 얻는다. 끝으로, 유한차원 벡터공간, ι(sup)p-공간, ι(sup)$\infty$-공간에서 각각 값을 갖는, 연속 Gauss 과정에 대해서 필자에 의해 최근에 발표된 몇 편의 논문을 소개한다.

키워드

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