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Statistics
A Journal of Theoretical and Applied Statistics
Volume 54, 2020 - Issue 2
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A new nonparametric density ratio estimator using the beta kernel is proposed. It is shown that the beta kernel density ratio estimator (KDRE) is free of boundary or tail bias, and the asymptotic properties of the beta KDRE are derived. Simulation studies are conducted to illustrate the finite sample performance of the beta KDRE.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The author has been supported by the Japan Society for the Promotion of Science; Grant-in-Aid for Young Scientists (B) [grant number 17K13714].

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