Decision Tree-Based Estimation of the Overlap of Two Probability Distributions

J. Math. Sci. Univ. Tokyo
Vol. 30 (2023), No. 1, Page 21-54.

Johno, Hisashi; Nakamoto, Kazunori
Decision Tree-Based Estimation of the Overlap of Two Probability Distributions
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Abstract:
A new nonparametric approach, based on a decision tree algorithm, is proposed to calculate the overlap between two probability distributions. The devised framework is described analytically and numerically. The convergence of the estimated overlap to the true value is proved along with some experimental results.

Keywords: Probability distribution, Crossover point, Overlap coefficient, Nonparametric, Decision tree.

Mathematics Subject Classification (2020): 62G05.
Received: 2021-12-17