Stochastic dominance via quantile regression with applications to investigate arbitrage opportunity and market efficiency

Pin T Ng, Wing Keung Wong, Zhijie Xiao

Research output: Contribution to journalArticle

6 Scopus citations


Tests for stochastic dominance constructed by translating the inference problem of stochastic dominance into parameter restrictions in quantile regressions are proposed. They are variants of the one-sided Kolmogorov–Smirnoff statistic with a limiting distribution of the standard Brownian bridge. The procedure to obtain the critical values of our proposed test statistics are provided. Simulation results show their superior size and power. They are applied to the NASDAQ 100 and S&P 500 indices to investigate dominance relationship before and after major turning points. Results show no arbitrage opportunity between the bear and bull markets. Our results infer that markets are inefficient and risk averters are better off investing in the bull rather than the bear market.

Original languageEnglish (US)
Pages (from-to)666-678
Number of pages13
JournalEuropean Journal of Operational Research
Issue number2
StatePublished - Sep 1 2017



  • Brownian bridge
  • Internet bubble crisis
  • Quantile regression
  • Stochastic dominance
  • Subprime crisis

ASJC Scopus subject areas

  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

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