Stochastically weighted stochastic dominance concepts with an application in capital budgeting

Jian Hu*, Tito Homem-De-Mello, Sanjay Mehrotra

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The problem of comparing random vectors arises in many applications. We propose three new concepts of stochastically weighted dominance for comparing random vectors X and Y. The main idea is to use a random vector V to scalarize X and Y as VTX and VTY, and subsequently use available concepts from stochastic dominance and stochastic optimization for comparison. For the case where the distributions of X, Y and V have finite support, we give (mixed-integer) linear inequalities that can be used for random vector comparison as well as for modeling of optimization problems where one of the random vectors depends on decisions to be optimized. Some advantages of the proposed new concepts are illustrated with the help of a capital budgeting example.

Original languageEnglish (US)
Pages (from-to)572-583
Number of pages12
JournalEuropean Journal of Operational Research
Issue number3
StatePublished - Feb 1 2014


  • Chance constraint
  • Integer programming
  • Risk management
  • Stochastic dominance
  • Stochastic programming

ASJC Scopus subject areas

  • Computer Science(all)
  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


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