asymptotic bias 1entropy estimation 1occupancy model 1plug-in estimator 1power-law distributions 1regular variation 1
From the 1 of 2 linked papers with an AI index.
2 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…
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…