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The Conditions for Dominance Between Alternatives which are Independent Multiplicative Random Variables

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  • Dan Cohen

    (The Hebrew University of Jerusalem, Israel)

Abstract

The conditions for dominance between alternatives that are independent multiplicative random variables have been worked out. For any two alternatives 1 and 2, 1 dominantes 2 if H ( Y 1 ) ≧ E ( Y 2 ), where Y is the yield, H ( Y 1 ) is the harmonic mean 1/ E (1/ Y 1 ), and E ( Y 2 ) is the expectation. This dominance is strengthened when the contribution of other alternatives is increased.

Suggested Citation

  • Dan Cohen, 1968. "The Conditions for Dominance Between Alternatives which are Independent Multiplicative Random Variables," Operations Research, INFORMS, vol. 16(3), pages 569-575, June.
  • Handle: RePEc:inm:oropre:v:16:y:1968:i:3:p:569-575
    DOI: 10.1287/opre.16.3.569
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