Pao-Lu Hsu (Xu, Bao-Lu): the grandparent of probability and statistics in China. (English) Zbl 1331.62014

Summary: 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 Annals of Statistics [T. W. Anderson, K. L. Chung and E. L. Lehmann, “Pao Lu Hsu: 1909–1970”, Ann. Statist. 7, 467–470 (1979), euclid:aos/1176344666; E. L. Lehmann, ibid. 7, 471–473 (1979; Zbl 0407.62012); T. W. Anderson, ibid. 7, 474–478 (1979; Zbl 0407.62029); K. L. Chung, “Hsu’s work in probability”, ibid. 7, 479–484 (1979), euclid:aos/1176344669] as well as an article by Jiang Ze-Han and Duan Xue-Fu in [P.-L. Hsu, Collected papers. Ed. by Kai Lai Chung. With the cooperation of Ching- Shui Cheng and Tse-Pei Chiang. Berlin: Springer-Verlag (1983; Zbl 0508.01028)].


62-03 History of statistics
60-03 History of probability theory
01A70 Biographies, obituaries, personalia, bibliographies
01A60 History of mathematics in the 20th century

Biographic References:

Hsu, Pao-Lu
Full Text: DOI arXiv Euclid


[1] Anderson, T. W. (1979). Hsu’s work in multivariate analysis. Ann. Statist. 7 474-478. · Zbl 0407.62029
[2] Anderson, T. W., Chung, K. L. and Lehmann, E. L. (1979). Pao Lu Hsu: 1909-1970. Ann. Statist. 7 467-470. · Zbl 0567.01028
[3] Chung, K. L. (1979). Hsu’s work in probability. Ann. Statist. 7 479-483.
[4] Deemer, W. L. and Olkin, I. (1951). The Jacobians of certain matrix transformations useful in multivariate analysis. Biometrika 38 345-367. · Zbl 0043.34204
[5] Hsu, P. L. (1941). On the limiting distribution of roots of a determinantal equation. J. London Math. Soc. 16 183-194. · Zbl 0063.02911
[6] 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. · Zbl 0508.01028
[7] Lehmann, E. L. (1979). Hsu’s work on inference. Ann. Statist. 7 471-473. · Zbl 0407.62012
[8] Lehmann, E. L. (2008). Reminiscences of a Statistician. The Company I Kept . Springer, New York. · Zbl 1141.01017
[9] Reid, C. (1982). Neyman-From Life . Springer, New York. · Zbl 0517.01034
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