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math.ST2026
Asymptotic Normality and Convergence Rates for Tsallis Entropy Estimators via Stabilization Techniques
Mehmet Sıddık Çadırcı, Martin Singull
We study nearest-neighbor-based estimators of Tsallis entropy associated with Poisson and binomial point processes on general metric measure spaces. Using stabilization techniques…
math.ST2026
A New Estimator of Kullback--Leibler Divergence via Shannon Entropy
Mehmet Siddik Cadirci, Martin Singull
We examine the estimation of the Kullback-Leibler (KL) divergence and the use of the goodness-of-fit test for multivariate continuous distributions. Our starting point is the maxim…