Page 628 - Probability and Statistical Inference

14. Appendix 605

195 pages to Kolmogorov’s life and contributions, plus a list of his 518 pub-
lications.
He constantly strived toward the development of a rigorous curriculum in
mathematics in schools. He loved teaching, playing, and listening to the young
children in the secondary school where he taught mathematics for many de-
cades. Subsequently, this school has been named after Kolmogorov. He passed
away on October 20, 1987.
E. L. Lehmann: Erich L. Lehmann was born on November 20, 1917, in
Strasbourg, France. He was raised in Germany and he is of Jewish ancestry.
When the Nazis came to power in 1933, his family decided to settle in Switzer-
land where he attended high school. Originally he had his mind set on studying
the German literature. But, his father suggested the route of mathematics in-
stead. In his interview article [DeGroot (1986c)], Lehmann said that he did not
really know what mathematics might entail, but he agreed with his father any-
way. In the article, he mentioned that he did not argue with his parents on the
choice of a career path. He went to study mathematics in Zurich.
The war broke out in Europe. Lehmann arrived in New York in 1940 and
went on to receive the M.A. (1942) and Ph.D. (1946) degrees in mathematics
from the University of California, Berkeley. Since then, he has been in the
faculty at Berkeley. For his Ph.D. thesis, related to the UMPU tests, Lehmann
got advice from J. Neyman, G. Pólya and P. L. Hsu. The interview [DeGroot
(1986c)] and his two articles, Lehmann (1993,1997), tell many stories about
his life and career.
Lehmann nurtured and developed ideas within the context of the theory of
tests of hypothesis in ways which at times had been different from Neyman’s
original approach. Neyman did not approve such departure from his theory.
Lehmann started preparing the manuscript for the book, Testing Statistical
Hypotheses. Neyman demanded to see the manuscript before it was
published&exl; Since then, Lehmann was not asked to teach a course on
testing of statistical hypotheses at Berkeley as long as Neyman was around.
These episodes caused unhappy strains in the relationship between Lehmann
and Neyman. One may refer to DeGroot (1986c, pp. 246-247).
The 1959 (Wiley) classic, Testing Statistical Hypotheses, followed by its
second edition (1986, Wiley), has been on the “must reading list” practically
in all statistics Ph.D. programs. Lehmann’s famous Notes on the Theory of
Estimation has been available in Berkeley since 1951. The Theory of Point
Estimation first appeared in 1983 (Wiley), a second edition (coauthored
with G. Casella) of which came out in 1998 (Springer-Verlag). Lehmann
also wrote few other books including the Nonparametrics: Statistical Meth-
ods Based on Ranks (1975, Holden-Day).