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20172020
most citedError bounds for the normal approximation to the length of a Ewens partition

1 citations · 3 across the 7 of their papers we have counts for

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math.ST2020

Limit theorem associated with Wishart matrices with application to hypothesis testing for common principal components

Koji Tsukuda, Shun Matsuura

This study derives a new property of the Wishart distribution when the degree-of-freedom and the size of the matrix parameter of the distribution grow simultaneoulsy. Particularly,…

math.ST2019★ 1 cited

Error bounds for the normal approximation to the length of a Ewens partition

Koji Tsukuda

Let be a positive integer-valued random variable whose distribution is given by , where is a positive n…

math.ST2018

Weak convergences of marked empirical processes in a Hilbert space and their applications

Koji Tsukuda, Yoichi Nishiyama

In this paper, weak convergences of marked empirical processes in and their applications to statistical goodness-of-fit tests are provided, where $L^2(\mathbb{R…

math.ST2018

A reversal phenomenon in estimation based on multiple samples from the Poisson--Dirichlet distribution

Koji Tsukuda, Shuhei Mano

Consider two forms of sampling from a population: (i) drawing samples of elements with replacement and (ii) drawing a single sample of elements. In this paper, under t…

math.ST2017★ 1 cited

Covariance structure associated with an equality between two general ridge estimators

Koji Tsukuda, Hiroshi Kurata

In a general linear model, this paper derives a necessary and sufficient condition under which two general ridge estimators coincide with each other. The condition is given as a st…