# Pao-Lu Hsu

### Quick Info

Beijing, China

Beijing, China

**Pao-Lu Hsu**was a Chinese mathematician who worked in probability theory and statistics.

### Biography

**Pao Lu Hsu**'s name is sometimes transliterated as Xu Bao-lu but the form we have given seems to be the commonest form. His family came from the lake city of Hangzhou in Zhejiang Province but he was born and brought up in Peking. His parents belonged to a mandarin family and in [5] the authors write:-

Perhaps because of this background he spoke the "common" or "official" dialect with an interesting soft overtone.Hsu's school education was in Peking and he did not choose mathematics as a career at this stage but rather it was chemistry which he decided to study at university. In 1928 he enrolled at Yangjing University to study chemistry. Two years later he decided to change subject, to change universities, and so he went to Tsing Hua University to read for a degree in mathematics. He obtained his Bachelor of Science degree from Tsing Hua University in 1933 and then moved to the Mathematics Department of Peking University where he was employed as an assistant.

Hsu passed examinations in 1936 at Peking University and obtained a scholarship to enable him to continue his graduate studies in Britain. He spent four years in Britain mainly at University College, London but he also spent some time studying at Cambridge. Certainly University College, London was an excellent place for Hsu to study as his mathematical interests were in probability and statistics. Egon Pearson, following the retiral of his father Karl Pearson as Galton Professor of Statistics, had been made Reader and became Head of the Department of Applied Statistics three years before Hsu arrived there. Jerzy Neyman had been appointed in 1934 while R A Fisher held Karl Pearson's Galton Chair of Statistics and was Head of the Department of Eugenics at University College. Lehmann writes in [10]:-

During this period [at University College, London] Hsu wrote a remarkable series of papers on statistical inference which show the strong influence of the Neyman-Pearson point of view.Hsu's first two papers were published in the

*Statistical Research Memoirs*which were edited by Jerzy Neyman and Egon Pearson. One concerned what is now known as the Behrens-Fisher problem, while the second Hsu examined the problem of optimal estimators of the variance in the Gauss-Markov model.

In 1938 Hsu, while still undertaking research for his doctorate, too up a position as lecturer in Egon Pearson's Department. He was awarded the degree of Ph.D. and then that of D.Sc. from University College, London, in 1938 and 1940, respectively. Anderson, Chung and Lehmann write in [5]:-

[Hsu's] British education formed his taste in mathematics; he preferred the hard and concrete to the general and abstract.This is a very fair comment on the style of British statistics during this period, in contrast to the style in Continental Europe.

By 1940 China was engaged in World War II fighting against the Japanese invasion and Britain was involved in the war against Germany. Hsu chose to leave Britain to return to his homeland of China where he was appointed as Professor at Peking University. It was a period of great difficulty and hardship for Hsu. He corresponded with Neyman during the years 1943-44, who by this time was at Berkeley in the United States, about statistical matters but he mentions in these letters the great hardship he was suffering, particularly suffering starvation.

It is a great tribute to Hsu's determination to devote himself to statistics that he managed to continue his research during these difficult war years. Many of his publications on multivariate analysis from this period show that he had been strongly influenced by R A Fisher while at University College. His role in promoting the use of matrix theory in statistics should also be emphasised. These papers brought him to [3]:-

... the forefront of the development of the mathematical theory of multivariate analysis.Attempts were made to get Hsu to the United States. In 1945 he arrived in the USA just in time for the First Berkeley Symposium on Probability and Statistics. During the next two years he taught at the University of California, Columbia University, and the University of North Carolina where he was offered an associate professorship.

After spending 1946-47 at the University of North Carolina at Chapel Hill, in 1947 Hsu returned to his professorship at Peking University. One of his students at Chapel Hill wrote:-

In was Hsu's insistence on simplicity combined with depth of understanding, clarity without avoidance of difficulties, and above all a deep and obvious but unspoken commitment to the highest goals and standards of scholarship which attracted us to him.Anderson, Chung and Lehmann describe in [5] (see also [4]) Hsu's personality, particularly during these years in the United States:-

Setting even higher standards for his own work than for others, he would temper his critical sense with a gentle mocking humour. He could work feverishly on research for spells, but used to lament that life's diverse interests conflicted with a single minded devotion to science. ... A particular hobby was chanting the musical drama of the Yuan dynasty with a small group of connoisseurs accompanied by ancient instruments. partly owing to fragile health he never married but apparently came close to it.Hsu had turned down many offers of position, one particularly attractive one from Wald, from universities in the United States but he felt that there he could be [5]:-

... part of the emerging new society in his homeland.Hsu had poor health from 1950. He recovered but the extremely hard work which he undertook brought about a recurrence in the summer of 1951 and he spent some time in hospital. His battle against illness is movingly described in Jiang and Duan in [1]:-

Concerned about his health, the authorities repeatedly suggested that he go abroad to recuperate. all such suggestions met with polite refusal; he insisted on continuing his work ... From 1956 on his health steadily worsened. Having difficulty in moving about, he worked at home. with a blackboard hanging on the wall of his room, he gave lectures to upper-class students, graduate students, and young teachers; he was in charge of seminars and other academic activities. By the early 1960s his health had deteriorated to such an extent that he could stand in front of the blackboard for only a few minutes before he had to sit down and rest. Nevertheless his teaching did not cease at that time, nor did his work cease under the extremely difficult conditions in the later years. It was only a month before his death that his manuscript on the relationship between experimental design and algebraic coding theory was at last completed, being his final legacy. Found beside his bed the day after his death were piles of manuscripts which serve as a testimony to the superhuman fortitude with which he exerted himself over a period of more than 20 years ...Hsu died in his home on the campus of Peking University in 1970. He had published a total of 40 mathematical papers.

### References (show)

*Pao-Lu Hsu : Collected papers*(New York, 1983).- T W Anderson, The work of Pao Lu Hsu on multivariate distributions (Chinese),
*Knowledge Practice Math. No.***3**(1980), 8-12. - T W Anderson, Hsu's work in multivariate analysis,
*Ann. Statist.***7**(3) (1979), 474-478. - T W Anderson, K L Chung and E L Lehmann, Pao Lu Hsu : 1910-1970 (Chinese),
*Knowledge Practice Math. No.***3**(1980), 3-5. - T W Anderson, K L Chung and E L Lehmann, Pao Lu Hsu : 1909-1970,
*Ann. Statist.***7**(3) (1979), 467-470. - K L Chung, Hsu's work in probability,
*Ann. Statist.***7**(3) (1979), 479-483. - K L Chung, The work of Pao Lu Hsu on probability theory (Chinese),
*Knowledge Practice Math. No.***3**(1980), 12-15. - Z H Jiang and X F Duan, A heartfelt tribute to Prof Pao Lu Hsu (Chinese),
*Knowledge Practice Math. No.***3**(1980), 1-3. - E L Lehmann, The work of Pao Lu Hsu on statistical inference (Chinese),
*Knowledge Practice Math. No.***3**(1980), 6-8. - E L Lehmann, Hsu's work on inference,
*Ann. Statist.***7**(3) (1979), 471-473. - R G Miller, Editorial note on Pao Lu Hsu : 1909-1970,
*Ann. Statist.***8**(2) (1980), 456.

### Additional Resources (show)

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Written by J J O'Connor and E F Robertson

Last Update September 2001

Last Update September 2001