Journal of the Korean Statistical Society

  • 제9권2호
  • /
  • Pages.121-125
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  • 1980
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  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
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Note on Stochastic Inequalities

  • 발행 : 1980.12.01
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초록

In this note, we establish a result which characterizes a partial ordering of probability distributions on a partially ordered space by that of conditional distributions. This result is then reduced to prove the conjecture made by Nevius, Proschan and Sethuraman (1977).

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참고문헌

  1. Statistical Theory of Reliability and Life Testing: Probability Models Barlow,R.E.;Proschan,F.
  2. Inequalities Hardy,G.H.;Littlewood,J.E.;Polya,G.
  3. Ann. Statist. v.5 Schur functions in statistics. II. Stochastic majorization Nevius,S.E.;Proschan,F.;Sethuraman,J.
  4. Ann. Probability v.5 Stochastic inequalities on partially ordered space Kamae,T.;Krengel,U.;O'Brien,G.L.
  5. Ann. Math. Statist. v.36 The existence of probability measures with given marginals Strassen,V.