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A Necessary Condition for Semiparametric Efficiency of Experimental Designs

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Geometric Science of Information (GSI 2021)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 12829))

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Abstract

The efficiency of estimation depends not only on the method of estimation but also on the distribution of data. In statistical experiments, statisticians can at least partially design the data-generating process to obtain high estimation performance. This paper proposes a necessary condition for a semiparametrically efficient experimental design. We derived a formula to determine the efficient distribution of the input variables. The paper also presents an application to the optimal bid design problem of contingent valuation survey experiments.

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References

  1. Ay, N., Jost, J., Lê, H.V., Schwachhöfer, L.: Information geometry. Ergebnisse der Mathematik und ihrer Grenzgebiete 3, 64 (2017). Springer

    Google Scholar 

  2. Carson, R., Hanemann, M.: Contingent valuation (Chap. 17). In: Maler, K.G., Vincent, J.R. (eds.) Handbook of Environmental Economics, 1st edn, vol. 2, pp. 821–936. Elsevier, Amsterdam (2006)

    Google Scholar 

  3. Cooper, J., Loomis, J.: Sensitivity of willingness-to-pay estimates to bid design in dichotomous choice contingent valuation models. Land Econ. 68(2), 211–224 (1992)

    Google Scholar 

  4. Cooper, J.C.: Optimal bid selection for dichotomous choice contingent valuation surveys. J. Environ. Econ. Manag. 24(1), 25–40 (1993)

    Google Scholar 

  5. Duffield, J.W., Patterson, D.A.: Inference and optimal design for a welfare measure in dichotomous choice contingent valuation. Land Econ. 67(2), 225–239 (1991)

    Google Scholar 

  6. Groeneboom, P., Wellner, J.A.: Information Bounds and Nonparametric Maximum Likelihood Estimation. Birkhäuser, Basel (1992)

    Google Scholar 

  7. Lê, H.V.: Diffeological statistical models, the Fisher metric and probabilistic mappings. Mathematics 8(2) (2020)

    Google Scholar 

  8. Pistone, G., Sempi, C.: An infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one. Ann. Stat. 23(5), 1543–1561 (1995)

    Google Scholar 

  9. van der Vaart, A.W.: On differentiable functionals. Ann. Stat. 19(1), 178–204 (1991)

    Google Scholar 

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Correspondence to Hisatoshi Tanaka .

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Tanaka, H. (2021). A Necessary Condition for Semiparametric Efficiency of Experimental Designs. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science(), vol 12829. Springer, Cham. https://doi.org/10.1007/978-3-030-80209-7_77

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  • DOI: https://doi.org/10.1007/978-3-030-80209-7_77

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-80208-0

  • Online ISBN: 978-3-030-80209-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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