Abstract
This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of “mathematical community” is the broadest. We include “schools” of mathematics, circles of correspondence, mathematical societies, student organizations, and informal communities of cardinality greater than one. What we say about the communities is just as unrestricted. We welcome contributions from mathematicians of all kinds and in all places, and also from scientists, historians, anthropologists, and others.
Similar content being viewed by others
References
Kenneth J. Arrow. “Marschak, Jacob.” InInternational Encyclopedia of the Social Sciences, ed. David L. Sills. The Free Press, New York, 1979.
Kenneth J. Arrow, “Von Neumann and the Existence Theorem for General Equilibrium.” InJohn von Neumann and Modern Economics, ed. M. Dore et al. University Press, Oxford, 1989, 15–28.
Bela B. Edwards. Preface.Collections of the American Statistical Association 1, part 1 (1843), v-x.
Carl F. Christ. “History of the Cowles Commission, 1932-1952.” InEconomic Theory and Measurement. Cowles Commission for Research in Economics, Chicago, 1952, 3–65.
Earlene Craver. “The Emigration of the Austrian Economists.”History of Political Economy 18 (1986), 1–32.
Egbert Dierker and K. Sigmund, ds.Ergebnisse eines Mathematischen Kollo-quiums. Springer-Verlag, Vienna, 1998.
Laura Fermi.Illustrious Immigrants, 2d ed. University of Chicago Press, Chicago, 1971.
Harold Freeman.Sequential Analysis of Statistical Data: Applications. Statistical Research Group, Columbia University, New York, 1944.
Bashkar K. Ghosh. “A Brief History of Sequential Analysis.” InHandbook of Sequential Analysis, ed. Bashkar K. Ghosh and Pranab K. Sen. Marcel Dekker, Inc., New York, 1991, 1–20.
Louise Golland and Karl Sigmund. “Exact Thought in a Demented Time: Karl Menger and his Viennese Mathematical Colloquium.”The Mathematical Intelligencer 22 (2000), 34–45.
Thomas L. Haskell.The Emergence of Professional Social Science. University of Illinois Press, Urbana, 1977.
Frederick L. Hoffman. “Problems of Social Statistics and Social Research.”Publications of the American Statistical Association 11 (1908-1909), 105–32.
Robert V. Hogg. “On the Origins of the Institute of Mathematical Statistics.”Statistical Science 1 (1986), 285–291.
Harold Hotelling. “Abraham Wald.“American Statistician 5 (1951), 18–19.
Patti W. Hunter. “Drawing the Boundaries: Mathematical Statistics in 20th-century America.”Historia Mathematica 23 (1996), 7–30.
Patti W. Hunter. “An Unofficial Community: American Mathematical Statisticians before 1935.”Annals of Science 56 (1999), 47–68.
Patti W. Hunter. “Foundations of Statistics in American Textbooks: Probability and Pedagogy in Historical Context,”in Using Recent History of Mathematics in Teaching Mathemathics. Mathematical Association of America, forthcoming.
Leonid Hurwicz. “Theory of the Firm and of Investment.”Econometrica 14 (1946),109–136.
J. Edward Jackson. “Bibliography on Sequential Analysis.”Journal of the American Statistical Association 55 (1960), 561–580.
Claus-Dieter Krohn.Intellectuals in Exile: Refugee Scholars and the New School for Social Research. Trans. Rita Kimber and Robert Kimber. University of Massachusetts Press, Amherst, 1993.
Dickson H. Leavens. “Report of the Chicago Meeting, December 28-30, 1936.”Econometrica 5 (1937), 184–197.
Robert J. Leonard. “From Parlor Games to Social Science: von Neumann, Morgenstern, and the Creation of Game Theory: 1928-1944.”Journal of Economic Literature 32 (1995), 730–61.
Robert J. Leonard. “Ethics and the Excluded Middle: Karl Menger and Social Science in Interwar Vienna.”Isis 89 (1998), 1–26.
Henry B. Mann and Abraham Wald. “On the Statistical Treatment of Linear Stochastic Difference Equations.”Econometrica 11 (1943), 173–220.
Jacob Marschak. “The Role of Liquidity under Complete and Incomplete Information.”The American Economic Review 39 (3) (1949), Papers and Proceedings of the Sixty-first Annual Meeting of the American Economic Association, 182–195.
Richmond Mayo-Smith. “Statistical Data for the Study of the Assimilation of Races and Nationalities in the United States.”Publications of the American Statistical Association 3 (1892-1893), 429–449.
Karl Menger. “The Formative Years of Abraham Wald and His Work in Geometry.”Annals of Mathematical Statistics 23 (1952), 14–20.
Karl Menger.Selected Papers in Logic, Foundations, Didactics, and Economics. D. Reidel Publishing Company, Dordrecht, 1979.
Oskar Morgenstern. “Abraham Wald, 1902-1950.”Econometrica 19 (1951), 361–367.
Jerzy Neyman. “The Emergence of Mathematical Statistics. ” InOn the History of Statistics and Probability, ed. D. B. Owen. Marcel Dekker, New York, 1976, 147–193.
Simon N. D. North. “The Relation of Statistics to Economics and Sociology. ”Publications of the American Statistical Association 11 (1908-09), 431–446.
Notes.Bulletin of the American Mathematical Society 27 (1920-1921), 336-337.
E. Shepley Nourse and Bernard G. Greenberg. “Statistical Training and Research: The University of North Carolina System. ”International Statistical Review 46 (1978), 171–207.
Order Establishing the National Defense Research Committee. InScientists Against Time, ed. James Phinney Baxter III. Little, Brown and Company, Boston, 1946, 451.
Theodore Porter.The Rise of Statistical Thinking: 1820-1900. University Press, Princeton, 1986.
Program of the Annecy Meeting, September 11–15, 1937.Econometrica 6 (1938), 91.
Mina Rees. “The Mathematical Sciences and World War II. ”The American Mathematical Monthly 87 (1980), 607–621.
Nathan Reingold. “Refugee Mathematicians in the United States of America, 1933-1941: Reception and Reaction. ”Annals of Science 38 (1981), 313–338, orA Century of Mathematics in America-Part I, ed. Peter Duren et al. Providence: American Mathematical Society, Providence, 1988, 175-200.
Henry L. Rietz et al.Handbook of Mathematical Statistics. Houghton Mifflin Company, Boston, 1924.
Charles F. Roos. “The Organization of the Econometric Society in Cleveland, Ohio, December 1930. ”Econometrica 1 (1933), 71–72.
Dorothy Ross.The Origins of American Social Science. University Press, Cambridge, 1991.
Peter M. Rutkoff and William B. Scott.New School: A History of the New School for Social Research. The Free Press, New York, 1986.
L. J. Savage. “The Theory of Statistical Decision. ”Journal of the American Statistical Association 46 (1951), 55–67.
Karl Sigmund. “Menger ’s Ergebnisse—A Biographical Introduction. ” InErgebnisse eines Mathematischen Kolloquiums, ed. E. Dierker and K. Sigmund. Springer-Ver-lag, Vienna, 1998, 5–31.
Karl Sigmund. “Karl Menger and Vienna ’s Golden Autumn. ” InKarl Menger: Selecta Mathematica, vol. 1, ed. Bert Schweizer et al. Springer-Verlag, Vienna, 2002, 7–21.
Stephen Stigler.The History of Statistics: The Measurement of Uncertainty before 1900. Harvard University Press, Cambridge, 1986.
R. von Mises and J. L. Doob. “Discussion of Papers on Probability Theory. ”Annals of Mathematical Statistics 12 (1941), 215–217.
John von Neumann. “Zur Theorie der Gesellschaftsspiele. ”Mathematische Annalen 100 (1928), 295–320.
John von Neumann. “Über ein ökonomisches Gleichungssystem und eine Verall-gemeinerung des Brouwerschen Fix-punksatzes. ”Ergebnisse eines mathematischen Kolloquiums 8 (1935-36), 73–83.
John von Neumann and Oskar Morgenstern.Theory of Games and Economic Behavior. University Press, Princeton, 1944.
Abraham Wald. “Über die eindeutige positive Lösbarkeit der neuen Produktions-gleichungen (Mitteilung l). ”Ergebnisse eines mathematischen Kolloquiums 6 (1935), 12–18.
Abraham Wald. “Über die Produktions-gleichungen der ökonomischen Wertlehre (Mitteilung II). ”Ergebnisse eines mathematischen Kolloquiums 7 (1936), 1–6.
Abraham Wald. “Über einige Gleichungs-systeme der mathematischen Ökonomie. ”Zeitschrift für Nationalökonomie 7 (1936), 637–670.
Abraham Wald. “Die Widerspruchsfreiheit des Kollektivbegriffes der Wahrschein-lichkeitsrechnung. ”Ergebnisse eines mathematischen Kolloquiums 8 (1937), 38–72.
Abraham Wald. “Contributions to the Theory of Statistical Estimation and Testing Hypotheses. ”Annals of Mathematical Statistics 10 (1939), 299–326.
Abraham Wald.On the Principles of Statistical Inference. Notre Dame Mathematical Lectures, No. 1. University of Notre Dame, 1942.
Abraham Wald.Sequential Analysis of Statistical Data: Theory. Statistical Research Group, Columbia University, New York, 1943.
Abraham Wald. “On Cumulative Sums of Random Variables. ”Annals of Mathematical Statistics 15 (1944), 283–296.
Abraham Wald. Review ofTheory of Games and Economic Behavior, by John von Neumann and Oskar Morgenstern.Mathematical Reviews 6 (1945), 237.
Abraham Wald. “Sequential Method of Sampling for Deciding between Two Courses of Action. ”Journal of the American Statistical Association 40 (1945), 277–306.
Abraham Wald. “Sequential Tests of Statistical Hypotheses. ”Annals of Mathematical Statistics 16 (1945), 117–186.
Abraham Wald. “Statistical Decision Functions which Minimize the Maximum Risk. ”Annals of Mathematics 46 (1945), 265–280.
Abraham Wald.Statistical Decision Functions. John Wiley and Sons, Inc., New York, 1950.
W. Allen Wallis. “The Statistical Research Group, 1942-1945. ”Journal of the American Statistical Association 75 (1980), 320–335.
E. Roy Weintraub. “On the Existence of a Competitive Equilibrium: 1930-1954. ”Journal of Economic Literature 21 (1983), 1–39.
Walter F. Willcox. “Cooperation between Academic and Official Statisticians. ”Publications of the American Statistical Association 14 (1914-1915), 281–293.
Walter F. Willcox. “Lemuel Shattuck, Statist, Founder of the American Statistical Association. ”Journal of the American Statistical Association 35 (1940), 224–235.
Jacob Wolfowitz. “Abraham Wald, 1902-1950. ”Annals of Mathematical Statistics 23 (1952), 1–13.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hunter, P.W. Connections, Context, and Community: Abraham Wald and the Sequential Probability Ratio Test. The Mathematical Intelligencer 26, 25–33 (2004). https://doi.org/10.1007/BF02985397
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02985397