asymptotic bias 1entropy estimation 1occupancy model 1plug-in estimator 1power-law distributions 1regular variation 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.PR2026
Asymptotic bias of the plug-in Shannon entropy estimator under a regularly varying occupancy model
Takato Hashino, Koji Tsukuda
The paper analyzes how the plug‑in estimator for Shannon entropy is biased when the underlying discrete distribution has a power‑law (regularly varying) tail, showing that the bias…
math.ST2026
High-dimensional linear regression inference via weak convergence
Kou Fujimori, Koji Tsukuda
We prove weak convergence in a separable Hilbert space for estimators of high-dimensional regression coefficients, which yields asymptotic normality and enables direct use of stand…
stat.ME2026
Estimating the Shannon Entropy Using the Pitman--Yor Process
Takato Hashino, Koji Tsukuda
The Shannon entropy is a fundamental measure for quantifying diversity and model complexity in fields such as information theory, ecology, and genetics. However, many existing stud…