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Nonparametric tests for strictly increasing virtual valuations

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  • Rui Fang
  • Xiaohu Li

Abstract

This paper shows that for absolutely continuous valuation distributions the increasing virtual valuations is equivalent to the increasing odds rate. Based on this new characterization we develop two nonparametric tests for the strictly increasing virtual valuations by using the generalized total time on test transform. The empirical type I error rate and power performance of the two tests are examined through Monte Carlo simulations. As illustrations the two tests are also applied to two real data sets collected from eBay.

Suggested Citation

  • Rui Fang & Xiaohu Li, 2017. "Nonparametric tests for strictly increasing virtual valuations," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(6), pages 1122-1136, April.
  • Handle: RePEc:taf:japsta:v:44:y:2017:i:6:p:1122-1136
    DOI: 10.1080/02664763.2016.1193727
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    References listed on IDEAS

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    1. Emmanuel Guerre & Isabelle Perrigne & Quang Vuong, 2000. "Optimal Nonparametric Estimation of First-Price Auctions," Econometrica, Econometric Society, vol. 68(3), pages 525-574, May.
    2. Paarsch, Harry J., 1997. "Deriving an estimate of the optimal reserve price: An application to British Columbian timber sales," Journal of Econometrics, Elsevier, vol. 78(2), pages 333-357, June.
    3. Ockenfels, Axel & Roth, Alvin E., 2006. "Late and multiple bidding in second price Internet auctions: Theory and evidence concerning different rules for ending an auction," Games and Economic Behavior, Elsevier, vol. 55(2), pages 297-320, May.
    4. Szech, Nora, 2011. "Optimal advertising of auctions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2596-2607.
    5. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    6. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    7. Elodie Guerre & I. Perrigne & Q.H. Vuong, 2000. "Optimal nonparametric estimation of first-price auctions [[Estimation nonparamétrique optimale des enchères au premier prix]]," Post-Print hal-02697497, HAL.
    8. Donald, Stephen G. & Paarsch, Harry J., 1996. "Identification, Estimation, and Testing in Parametric Empirical Models of Auctions within the Independent Private Values Paradigm," Econometric Theory, Cambridge University Press, vol. 12(3), pages 517-567, August.
    9. José J. Canals-Cerdá & Jason Pearcy, 2013. "Arriving in Time: Estimation of English Auctions With a Stochastic Number of Bidders," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(2), pages 125-135, April.
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    Cited by:

    1. Haitian Xie, 2023. "Grenander-type Density Estimation under Myerson Regularity," Papers 2305.09052, arXiv.org.

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