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

Dan Cohen
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Dan Cohen: The Hebrew University of Jerusalem, Israel

Operations Research, 1968, vol. 16, issue 3, 569-575

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.

Date: 1968
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