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Using the close connection between the Parzen–Rosenblatt estimator for linear data and the recently proposed Parzen–Rosenblatt type estimator for circular data, we establish some asymptotic properties of this last estimator, such as asymptotic unbiasedness, weak and strong pointwise consistency, and weak and strong uniform consistency.

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A Note on a Parzen–Rosenblatt Type Density Estimator for Circular Data

  • 会议论文

  • 发表日期：

    2025年

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  • Carlos Tenreiro

摘要

Using the close connection between the Parzen–Rosenblatt estimator for linear data and the recently proposed Parzen–Rosenblatt type estimator for circular data, we establish some asymptotic properties of this last estimator, such as asymptotic unbiasedness, weak and strong pointwise consistency, and weak and strong uniform consistency.