Inference for first-price auctions with Guerre, Perrigne, and Vuong’s estimator
Published in Journal of Econometrics, 2019
Ma, J., Marmer, V., & Shneyerov, A. (2019). “Inference for first-price auctions with Guerre, Perrigne, and Vuong’s estimator.” Journal of Econometrics, 211, 507-538.
Abstract
We consider inference on the probability density of valuations in the first-price sealed-bid auctions model within the independent private value paradigm. We show the asymptotic normality of the two-step nonparametric estimator of Guerre et al. (2000) (GPV), and propose an easily implementable and consistent estimator of the asymptotic variance. We prove the validity of the pointwise percentile bootstrap confidence intervals based on the GPV estimator. Lastly, we use the intermediate Gaussian approximation approach to construct bootstrap-based asymptotically valid uniform confidence bands for the density of the valuations.