4 papers
Asymptotic bias of the plug-in Shannon entropy estimator under a regularly varying occupancy model
Takato Hashino, Koji Tsukuda
Estimating the Shannon entropy of discrete distributions with countably infinite support is a challenging problem. In this paper, we investigate the bias of the plug-in estimator $…
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…
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…
Two step estimations via the Dantzig selector for models of stochastic processes with high-dimensional parameters
Kou Fujimori, Koji Tsukuda
We consider the sparse estimation for stochastic processes with possibly infinite-dimensional nuisance parameters, by using the Dantzig selector which is a sparse estimation method…