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Testing for time stochastic dominance

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  • Lee, Kyungho
  • Linton, Oliver
  • Whang, Yoon-Jae

Abstract

We propose nonparametric tests for the null hypothesis of time stochastic dominance. Time stochastic dominance makes a partial order of different prospects over time based on the net present value criteria for general utility and time discount function classes. For example, time stochastic dominance can be used for ranking investment strategies or environmental policies based on the expected net present value of the future benefits. We consider an Lp-type test statistic and derive its large sample distribution under standard panel data sampling scheme with fixed time dimension. We suggest a path-wise (or cluster) bootstrap procedure that allows individual time series dependence over the time horizon. We describe two approaches, the contact-set approach and the numerical delta method, that may lead to enhanced power compared to the conventional least-favorable-case based approach. We prove the asymptotic validity of our testing procedures. We investigate the finite sample performance of the tests in simulation studies. As an illustration, we apply the proposed tests to evaluate the Million Baht Village Fund Program in Thailand and carbon emission trading scheme in China.

Suggested Citation

  • Lee, Kyungho & Linton, Oliver & Whang, Yoon-Jae, 2023. "Testing for time stochastic dominance," Journal of Econometrics, Elsevier, vol. 235(2), pages 352-371.
  • Handle: RePEc:eee:econom:v:235:y:2023:i:2:p:352-371
    DOI: 10.1016/j.jeconom.2022.03.012
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    1. Linton, Oliver & Song, Kyungchul & Whang, Yoon-Jae, 2010. "An improved bootstrap test of stochastic dominance," Journal of Econometrics, Elsevier, vol. 154(2), pages 186-202, February.
    2. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 735-765.
    3. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    4. Lee, Sokbae & Song, Kyungchul & Whang, Yoon-Jae, 2018. "Testing For A General Class Of Functional Inequalities," Econometric Theory, Cambridge University Press, vol. 34(5), pages 1018-1064, October.
    5. Stephen P. Holland & Erin T. Mansur & Nicholas Z. Muller & Andrew J. Yates, 2016. "Are There Environmental Benefits from Driving Electric Vehicles? The Importance of Local Factors," American Economic Review, American Economic Association, vol. 106(12), pages 3700-3729, December.
    6. Antony Millner, 2020. "Nondogmatic Social Discounting," American Economic Review, American Economic Association, vol. 110(3), pages 760-775, March.
    7. Chen Yuyu & Jin Ginger Zhe & Kumar Naresh & Shi Guang, 2012. "Gaming in Air Pollution Data? Lessons from China," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 13(3), pages 1-43, December.
    8. Jonathan Cohen & Keith Marzilli Ericson & David Laibson & John Myles White, 2020. "Measuring Time Preferences," Journal of Economic Literature, American Economic Association, vol. 58(2), pages 299-347, June.
    9. Ekern, Steinar, 1981. "Time Dominance Efficiency Analysis," Journal of Finance, American Finance Association, vol. 36(5), pages 1023-1034, December.
    10. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    11. Qihui Chen & Zheng Fang, 2019. "Inference on Functionals under First Order Degeneracy," Papers 1901.04861, arXiv.org.
    12. Zheng Fang & Andres Santos, 2019. "Inference on Directionally Differentiable Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 377-412.
    13. James Andreoni & Charles Sprenger, 2012. "Risk Preferences Are Not Time Preferences," American Economic Review, American Economic Association, vol. 102(7), pages 3357-3376, December.
    14. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-1193, September.
    15. Joseph P. Kaboski & Robert M. Townsend, 2012. "The Impact of Credit on Village Economies," American Economic Journal: Applied Economics, American Economic Association, vol. 4(2), pages 98-133, April.
    16. Simon Dietz & Nicoleta Anca Matei, 2016. "Spaces for Agreement: A Theory of Time-Stochastic Dominance and an Application to Climate Change," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 3(1), pages 85-130.
    17. William D. Nordhaus, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 686-702, September.
    18. Hong, Han & Li, Jessie, 2018. "The numerical delta method," Journal of Econometrics, Elsevier, vol. 206(2), pages 379-394.
    19. Levy, Haim, 1973. "Stochastic Dominance, Efficiency Criteria, and Efficient Portfolios: The Multi-Period Case," American Economic Review, American Economic Association, vol. 63(5), pages 986-994, December.
    20. Martin L. Weitzman, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 703-724, September.
    21. Douglas Almond & Shuang Zhang, 2021. "Carbon-Trading Pilot Programs in China and Local Air Quality," AEA Papers and Proceedings, American Economic Association, vol. 111, pages 391-395, May.
    22. Kaur, Amarjot & Prakasa Rao, B.L.S. & Singh, Harshinder, 1994. "Testing for Second-Order Stochastic Dominance of Two Distributions," Econometric Theory, Cambridge University Press, vol. 10(5), pages 849-866, December.
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