Journal of the Korean Statistical Society

  • 제14권2호
  • /
  • Pages.87-94
  • /
  • 1985
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Laplace's Method for General Integrals with Applications to Statistical Mechanics

  • Park, Nae-Hyun (Department of Computer Science and Statistics, Chung-nam National University, Dae-jeon 300-31) ;
  • Jeon, Jong-Woo (Department of Computer Science and Statistics, Seoul National University, Seoul 151)
  • 발행 : 1985.12.01
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초록

This paper extends the results of Ellis and Rosen (1982 a) to some more general integrals and applies our main theorem to compute the specific free energy of some models in statistical mechanics. The general integrals of this paper mean the integrals with respect to the probability measures induced by the sample mean of n i.i.d. random variables taking values in a separable Banach space.

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