1 citations · 3 across the 7 of their papers we have counts for
7 papers
Evaluating moments of length of Pitman partition
Koji Tsukuda
The Pitman sampling formula has been intensively studied as a distribution of random partitions. One of the objects of interest is the length of a random partitio…
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,…
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…
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…
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…
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…
On Poisson approximations for the Ewens sampling formula when the mutation parameter grows with the sample size
Koji Tsukuda
The Ewens sampling formula was firstly introduced in the context of population genetics by Warren John Ewens in 1972, and has appeared in a lot of other scientific fields. There ar…