Forthcoming articles

• Nikai, S., Goto, Y., Tsukuda, K. Robust M-Estimation of Scatter Matrices via Precision Structure Shrinkage. ASA Discoveries.

Published articles

1. Tsukuda, K. (2026). Evaluating moments of length of Pitman partition. Methodol. Comput. Appl. Probab. 28 (1), 11.
2. Fujimori, K., Tsukuda, K. (2026). Two step estimations via the Dantzig selector for models of stochastic processes with high-dimensional parameters. Stochastic Process. Appl. 192, 104809.
3. Tsukuda, K., Matsuura, S. (2025). Estimators for multivariate allometric regression model. J. Multivariate Anal. 197, 105482.
4. Kawamoto, K., Goto, Y., Tsukuda, K. (2025). Spectral clustering algorithm for the allometric extension model. Statist. Papers 66, 63.
5. Mukasa, H., Tsukuda, K. (2025). Equality between two general ridge estimators and equivalence of their residual sums of squares. Statist. Papers 66, 27.
6. Tsukuda, K. (2023). Introducing results associated with Poisson approximations for the Ewens sampling formula with large parameters. Journal of the Japan Statistical Society, Japanese Issue 53 (1), 205–225, (in Japanese).
7. Tsukuda, K., Matsuura, S. (2023). High-dimensional hypothesis testing for allometric extension model. J. Multivariate Anal. 197, 105208.
8. Tsukuda, K., Matsuura, S. (2021). Limit theorem associated with Wishart matrices with application to hypothesis testing for common principal components. J. Multivariate Anal. 186, 104822.
9. Tsukuda, K. (2020). Error bounds for the normal approximation to the length of a Ewens partition. Pioneering Works on Distribution Theory: In Honor of Masaaki Sibuya, 55–73.
10. Tsukuda, K., Nishiyama, Y. (2020). Weak convergence of marked empirical processes in a Hilbert space and its applications. Electronic J. Statist. 14 (2), 3914–3938.
11. Tsukuda, K., Kurata, H. (2020). Covariance structure associated with an equality between two general ridge estimators. Statist. Papers 61 (3), 1069–1084.
12. Tsukuda, K., Mano, S., Yamamoto, T. (2020). Bayesian approach to discriminant problems for count data with application to a multilocus short tandem repeat dataset. Statist. Appl. Genet. Mol. Biol. 19 (2).
13. Tsukuda, K., Matsuura, S. (2019). High-dimensional testing for proportional covariance matrices. J. Multivariate Anal. 171, 412–420.
14. Tsukuda, K. (2019). On Poisson approximations for the Ewens sampling formula when the mutation parameter grows with the sample size. Ann. Appl. Probab. 29 (2), 1188–1232. Corrections(pdf)
15. Tsukuda, K. (2018). Functional central limit theorems in L²(0,1) for logarithmic combinatorial assemblies. Bernoulli 24 (2), 1033–1052.
16. Tsukuda, K. (2017). A change detection procedure for an ergodic diffusion process. Ann. Inst. Statist. Math. 69 (4), 833–864.
17. Tsukuda, K. (2017). Robust parameter designs for reducing effects of noise covariates; a performance measure approach. Japanese Journal of Applied Statistics 46 (1), 1–11, (in Japanese).
18. Tsukuda, K. (2017). Estimating the large mutation parameter of the Ewens sampling formula. J. Appl. Probab. 54 (1), 42–54. Correction: (2018) J. Appl. Probab. 55 (3), 998–999.
19. Tsukuda, K., Nagata, Y. (2015). Asymptotic theory of Taguchi's natural estimators of the signal to noise ratio for dynamic robust parameter design. Comm. Statist. Theory Meth. 44 (22), 4734–4741.
20. Tsukuda, K., Nishiyama, Y. (2014). On L² space approach to change point problems. J. Statist. Plann. Inference 149, 46–59.
21. Tsukuda, K., Nagata, Y. (2014). Robust parameter design for multi signals response system. Journal of the Japanese Society for Quality Control 44 (2), 83–91, (in Japanese).

Preprints

• Fujimori, K., Tsukuda, K. High-dimensional linear regression inference via ℓ² weak convergence. arXiv:2602.07480v4
• Hashino, T., Tsukuda, K. Estimating the Shannon Entropy Using the Pitman–Yor Process. arXiv:2602.08347
• Kawamoto, K., Goto, Y., Tsukuda, K. On spectral clustering under non-isotropic Gaussian mixture models. arXiv:2601.13930
• Tsukuda, K., Mano, S. A reversal phenomenon in estimation based on multiple samples from the Poisson–Dirichlet distribution. arXiv:1802.00578

Book reviews

1. Tsukuda, K. (2024). Yoichi Nishiyama: Martingale Methods in Statistics. SUGAKU 76 (1), 105–111, (in Japanese).