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Empirical Likelihood and Uniform Convergence Rates for Dyadic Kernel Density Estimation

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  • Harold D. Chiang
  • Bing Yang Tan

Abstract

This article studies the asymptotic properties of and alternative inference methods for kernel density estimation (KDE) for dyadic data. We first establish uniform convergence rates for dyadic KDE. Second, we propose a modified jackknife empirical likelihood procedure for inference. The proposed test statistic is asymptotically pivotal regardless of presence of dyadic clustering. The results are further extended to cover the practically relevant case of incomplete dyadic data. Simulations show that this modified jackknife empirical likelihood-based inference procedure delivers precise coverage probabilities even with modest sample sizes and with incomplete dyadic data. Finally, we illustrate the method by studying airport congestion in the United States.

Suggested Citation

  • Harold D. Chiang & Bing Yang Tan, 2023. "Empirical Likelihood and Uniform Convergence Rates for Dyadic Kernel Density Estimation," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 41(3), pages 906-914, July.
    • Handle: RePEc:taf:jnlbes:v:41:y:2023:i:3:p:906-914
    DOI: 10.1080/07350015.2022.2080684
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