Page 643 - Probability and Statistical Inference
P. 643

620    14. Appendix

                                 lease from the Fellowship of the Cowles Commission to enable him to accept
                                 a Fellowship from the Carnegie Corporation and join Columbia University.
                                 Wald quickly learned statistical theory by attending lectures of Hotelling at
                                 Columbia. In Columbia, Wald had a long period of collaborations with J.
                                 Wolfowitz. Together, they wrote a number of fundamental papers in sequen-
                                 tial analysis and multiple decision theory.
                                    Wald’s lecture notes on the topics he taught at Columbia were lucid but
                                 rigorous and challenging. These notes have taught and given inspirations to
                                 the next several generations of aspiring statisticians. During this period, he
                                 wrote a number of important papers including the fundamental one on estima-
                                 tion and testing [Wald (1939)], even before he came to know the details of
                                 statistical theory. Wald gave the foundation to the theory of statistical decision
                                 functions. This deep area is probably one of his greatest contributions. The
                                 sequential analysis is another vast area where he made legendary contribu-
                                 tions. Wald’s (1947) book, Sequential Analysis, has always been regarded as
                                 a classic. The two papers, Wald (1945,1949b), have been included in the
                                 Breakthroughs in Statistics, Volume I [Johnson and Kotz (1992)].
                                    At the invitation of Mahalanobis, in November, 1950, Wald left for a visit
                                 to the Indian Statistical Institute, Calcutta, and meet colleagues and students
                                 there. After the official obligations of the trip was taken care of, Wald along
                                 with his wife left on December 13, 1950, on an Air India flight for a visit to
                                 the picturesque southern India. Unfortunately, the plane got lost in the fog and
                                 crashed into the peaks of the Nilgiri mountains. All passengers aboard that
                                 flight, including Wald and his wife, perished. This unfortunate accident shook
                                 the world of mathematics, statistics and economics. The world lost a true
                                 genius at a tender age of 48.
                                    D. Basu’s article, Learning from Counterexamples: At the Indian Statisti-
                                 cal Institute in the Early Fifties, included in Ghosh et al. (1992), recalls inter-
                                 esting stories about Wald at the time of his visit to the Institute in November-
                                 December, 1950. These are important stories because very little is otherwise
                                 known about what Wald was doing or thinking during the last few days of his
                                 life.
                                    Wald became President (1948) of the Institute of Mathematical Statis-
                                 tics. At the Abraham Wald Memorial Session held on September 7, 1951,
                                 during the Minneapolis meeting of the Institute of Mathematical Statistics,
                                 J. Wolfowitz had said, “The personal loss will be felt by his numerous
                                 friends, but all must mourn for the statistical discoveries yet unmade which
                                 were buried in the flaming wreckage on a mountain side in South India
                                 and which will slowly and painfully have to be made by others.” By action
                                 of the Council of the Institute of Mathematical Statistics, the 1952 volume
   638   639   640   641   642   643   644   645   646   647   648