小笠原 春彦

Gaussian product inequalities for absolute raw moments. 

Statistics and Probability Letters 227(110552) 2026年  査読有り

Anti-ridge regression for communality estimation in factor analysis. 

Behaviormetrika 52 575-592 2025年  査読有り

The product distribution of more-than-two correlated normal variables: A didactic review with some new findings. 

Communications in Statistics – Theory and Methods 54(16) 5354-5377 2025年  査読有り

Gaussian product inequalities for absolute moments of mixed-sign orders using a series formula. 

Communications in Statistics – Theory and Methods (online published, October 3, 2025) 2025年  査読有り招待有り

Series formulas for the untruncated Gaussian product moments. 

Behaviormetrika (online published, November 17, 2025). https://doi.org/10.1007/s41237-025-00277-2. 2025年  査読有り

Anti-ridge regression for communality estimation in factor analysis. https://dx.doi.org/10.13140/RG.2.2.22659.92966. 

ResearchGate (preprint) 2024年4月  

Rephrasing the lengthy and involved proof of Kristof’s theorem: A tutorial with some new findings. 

Journal of Behavioral Data Science. 4(2) 1-22 2024年  査読有り

A didactic historical review of the distributions using the Bessel function: Some extensions with unification. Preprint available at https://dx.doi.org/10.13140/RG.2.2.29305.65123. 

Behaviormetrika 51(2) 645-680 2024年  査読有り

The multivariate t-distribution with multiple degrees of freedom. Preprint available at https://doi.org/10.13140/RG.2.2.17979.90400. 

Communications in Statistics - Theory and Methods (online published, 31 May 2022) https://doi.org/10.1080/03610926.2022.2076122. 53(1) 144-169 2024年  査読有り

The product distribution of more-than-two correlated normal variables: A didactic review with some new findings (2nd version). https://dx.doi.org/10.13140/RG.2.2.10995.71202. 

ResearchGate (preprint) 2023年12月  

A didactic historical review of the distributions using the Bessel function: Some extensions with unification. https://dx.doi.org/10.13140/RG.2.2.29305.65123. 

ResearchGate (preprint) 2023年11月  

The distribution of the sample correlation coefficient under variance-truncated normality. 

Metrika (online published) https://doi.org/10.1007/s00184-023-00918-0. 2023年  査読有り

On some known derivations and new ones for the Wishart distribution: A didactic. 

Journal of Behavioral Data Science 3(1) 34-58 2023年  査読有り

The Wishart distribution with two different degrees of freedom. 

Statistics and Probability Letters (online published) 200(109866) 2023年  査読有り

On some known derivations and new ones for the Wishart distribution: A didactic (2nd version). https://doi.org/ 10.13140/RG.2.2.18053.42724. 

Research Gate (preprint) 2023年  

On some known derivations and new ones for the Wishart distribution: A didactic. https://doi.org/10.13140/RG.2.2.36205.26084. 

Research Gate (preprint) 2023年  

The multivariate power-gamma distribution using factor analysis models. 

In A. Okada, K. Shigemasu, R. Yoshino & S. Yokoyama (Eds.), Facets of behaviormerics: The 50th anniversary of the Behaviormetric Society (pp. 265-285). Singapore: Springer Nature Singapore. https://doi.org/10.1007/978-981-99-2240-6_13. Preprint: https://doi.org/10.13140/RG.2.2.11878.50240. 2023年  査読有り

A simple geometric derivation of the chi-square density. https://doi.org/10.13140/RG.2.2.11211.87843. 

Research Gate (preprint) 2022年  

A stochastic derivation of the surface area of the (n-1)-sphere. https://doi.org/10.13140/RG.2.2.28827.95528. 

Research Gate (preprint) 2022年