Statistical Science

Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China

Dayue Chen and Ingram Olkin

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The years 1910–1911 are auspicious years in Chinese mathematics with the births of Pao-Lu Hsu, Luo-Keng Hua and Shiing-Shen Chern. These three began the development of modern mathematics in China: Hsu in probability and statistics, Hua in number theory, and Chern in differential geometry. We here review some facts about the life of P.-L. Hsu which have been uncovered recently, and then discuss some of his contributions. We have drawn heavily on three papers in the 1979 Annals of Statistics (volume 7, pages 467–483) by T. W. Anderson, K. L. Chung and E. L. Lehmann, as well as an article by Jiang Ze-Han and Duan Xue-Fu in Hsu’s collected papers.

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Statist. Sci., Volume 27, Number 3 (2012), 434-445.

First available in Project Euclid: 5 September 2012

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Multivariate analysis Wishart distribution Student’s $t$ Hotelling’s $T^{2}$ determinantal equation eigenvalues design of experiments mathematics in China


Chen, Dayue; Olkin, Ingram. Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China. Statist. Sci. 27 (2012), no. 3, 434--445. doi:10.1214/12-STS387.

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  • Anderson, T. W. (1979). Hsu’s work in multivariate analysis. Ann. Statist. 7 474–478.
  • Anderson, T. W., Chung, K. L. and Lehmann, E. L. (1979). Pao Lu Hsu: 1909–1970. Ann. Statist. 7 467–470.
  • Chung, K. L. (1979). Hsu’s work in probability. Ann. Statist. 7 479–483.
  • Deemer, W. L. and Olkin, I. (1951). The Jacobians of certain matrix transformations useful in multivariate analysis. Biometrika 38 345–367.
  • Hsu, P. L. (1941). On the limiting distribution of roots of a determinantal equation. J. London Math. Soc. 16 183–194.
  • Hsu, P. L. (1983). Collected Papers. Springer, New York. Edited by Kai Lai Chung, with the cooperation of Ching-Shui Cheng and Tse-Pei Chiang.
  • Lehmann, E. L. (1979). Hsu’s work on inference. Ann. Statist. 7 471–473.
  • Lehmann, E. L. (2008). Reminiscences of a Statistician. The Company I Kept. Springer, New York.
  • Reid, C. (1982). Neyman—From Life. Springer, New York.