1. Abraham Wald Abraham Wald, 19021950. Born in Cluj Abraham Wald died at a tragicallyyoung age in a plane crash over India in 1950. Major works of http://cepa.newschool.edu/het/profiles/wald.htm

Abraham Wald, 1902-1950 Born in Cluj, Transylvania (now Romania, then part of Hungary) in 1902. In 1927, he enrolled in the mathematics department of the University of Vienna, receiving his PhD in 1931. He was one of Karl Menger's students and was quickly introduced to the Viennese banker and economist Karl Schlesinger who, in turn, introduced him to the problems of the sytem of Walras and Cassel being dealt with at the time by the Vienna Colloquium Wald wrote three papers (1935, 1936a,b) on the Walras-Cassel system, employing the important "Duality Principle" and complementary slackness conditions which he (together with Schlesinger ) developed for the Walras-Cassel G.E. system - which did away with the counting-equations- and-unknowns method, but allowed the return of Wieser's imputation theory back into economics and the employment of linear programming. Wald's third paper was particularly important and contributed several factors besides linear programming. Wald's paper was also the first proof of the existence of an equilibrium in a G.E. setting in economics. It also introduced several important concepts: the weak axiom of revealed preference (WARP) - later employed and developed by Paul Samuelson . He also addressed (briefly) the issue of whether it would hold in the aggregate (a question ignored and unanswered until the mid-1970s). He also defined a primitive form of the idea of "gross substitution" and provided a proof of the uniqueness of equilibrium. He also used these tools to tackle the existence of an equilibrium in a

2. History Of Statistics STATHOUSE Abraham wald abraham Wald Born 31 Oct 1902 in Cluj, Romania; Died 13 Dec 1950. Please visit Wald. William Gemmell Cochran William Gemmell Cochran Born 15 July 1909 in Rutherglen http://filebox.vt.edu/org/stathouse/history.html

History of Statistics History has shaped our past; history will shape our future. Newton once said that he owned his success to his standing on the shoulders of scientific giants. History of statistics provides a ladder by which young statisticians climb to the shoulders of great statisticians. In the uneasy flow of human wisdom, statisticians have developped stochastic models of the ideal probability space, have built different inference bridges for crossing the gap between the data space and the probability space. To trace the development of these different models and of these inference methodologies is to inquire into the fasicnating intellectual tradition of statisticians and to test the null that staticians, together with scientists and engineers from other fields, have built the edifice of our scientific and social worlds. The following links lead you to visit several important statisticians on "http://www.vma.bme.hu/mathhist/Mathematicians/...". George Biddell Airy Born: 27 July 1801 in Alnwick, Northumberland, England Died: 2 Jan 1892 in Greenwich, England. For details, please visit

3. Wald Abraham Wald. Born 31 Oct 1902 in Kolozsvár Abraham Wald was borninto a Jewish family in Hungary. It was a family of intellectuals http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Wald.html

Abraham Wald Born: Died: 13 Dec 1950 in Travancore, India Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Abraham Wald was born into a Jewish family in Hungary. It was a family of intellectuals but, being Jewish, they were forced to earn their living in trades well below their abilities. At this time both primary and secondary schools in Hungary required pupils to attend on Saturdays and the Wald family could not allow their son to attend school on the Jewish Sabbath. As a result Abraham did not attend either primary of secondary school and was educated at home by members of his family. This certainly did not put him at a disadvantage from an educational point of view for his family were very knowledgeable and competent teachers. After World War I much of the land that had been part of Hungary was given to neighbouring countries and at that time Cluj became part of Romania. Wald was allowed to attend the University of Cluj but it appears that this was not made easy for him because he was Jewish. However his outstanding abilities in mathematics led him to wish to continue to undertake mathematical research and in 1927 he entered the University of Vienna to study with Karl Menger . He worked under Menger 's supervision on geometry and was awarded his doctorate in 1931.

4. Krakow Jewish Expanded Vital Records: Deaths 1835 Death records from Krakow showing additional data such as parent's or spouse's name, ages, dates etc., . Leybel Malki ROCHBAUM 10 Bayla Itel SCHONwald abraham Blumy Wolf 11 Leibel Herschel LAK Nachman Reisli Beile Nechemiasz 15 son NACHSATZ Abraham Hendli FREY 14 Mendel ROSEN Joachym http://www.shtetlinks.jewishgen.org/Krakow/evr_deaths1835.htm

The Jews of Krakow and its Surrounding Towns Expanded Vital Records Deaths : 1835 Akt Name Surname Father Mother Spouse Age

5. Krakow Jewish Expanded Vital Records: Deaths 1848 Death records from Krakow showing additional data such as parent's or spouse's name, ages, dates etc., . 1 Abraham SHULMAN Hiel Hawy HARTUCH 2 Mindel CYNNER Mozes Hindy 3 Fraidla DORFNER Saul Feigli 4 Maier Ester Faigel 126 Jozef SCHONwald abraham Lai 127 Maier FISCHLOWICZ Szeindel http://www.shtetlinks.jewishgen.org/Krakow/evr_deaths1848.htm

The Jews of Krakow and its Surrounding Towns Expanded Vital Records Deaths : 1848 Akt Name Surname Father Mother Spouse Age

6. Wald Abraham Wald. Born 31 Oct Abraham Wald was a student of Karl Mengerat Vienna and worked in geometry and statistics. His first work http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Wld.htm

Abraham Wald Born: Died: 13 Dec 1950 Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Abraham Wald was a student of Karl Menger at Vienna and worked in geometry and statistics. His first work was on metric spaces, an extension of Steinitz ' work to infinite dimensional vector spaces, and results on differential geometry. Wald's most important work was in statistics, in particular sequential analysis and the theory of decision functions, topics which were founded by him, and gathered together in Sequential Analysis (1947). He developed generalizations of the problem of gambler's ruin which play an important role in statistical sequential analysis. Wald developed sequential analysis in response to the demand for more efficient methods of industrial quality control during World War II. After the Nazis occupied Austria in 1938 Wald fled to the USA. His family were Jewish and all but one of them died in concentration camps. Wald and his wife were later both killed in a plane crash. References (9 books/articles) Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Wald.html

7. Wuppertal Wichlinghausen Neuhof Kr Fulda Waldheim Dintesheim Düsseldorf Unterra Translate this page mittweida schwabmünchen gröbitz bei weissenfels st wolfgang bei dorfen hermersdorf/obersdorfreinstorf bei bützow arrach bayerischer wald abraham kr passau http://www.routenplan-erstellen.de/wuppertal-wichlinghausen.htm

wuppertal wichlinghausen röttenbach bei schwabach

8. LIST OF NAMES. Waker Jacob, carpenter; res Seventh ws 8 n Jersey. Walby Hannora, widow of Benjamin;res 113 York ns 3 e Sixth. wald abraham, tailor, 234 Maine ss 2 w Ninth. http://www.rootsweb.com/~iladams/quincy/quincy-w1.htm

LIST OF NAMES. ABBREVIATIONS. bds-boards. n ex-northern ext- ension of. s ex-southern ex- ension of. bet-between. (col)-colored. ns-north side. ss-south side. cor-corner. nw-north west. sw-south west. e-east of. res-resides and residence. w-west of. es-east side. ws-west side. n-north of. s-south of. ne-north east. se-south east. Figures- 1,2, etc.: first door, second door, etc. Back to 1866 Quincy Directory Index Page Back to Main Page Wachlin Daniel, laborer; res Seventh es 5 s Kentucky. Wachs Heinrich, laborer; res se cor Fourth and Cherry. Wachtel Jacob, sr., laborer; res 101 Kentucky ns 2 w Eighth. Wachtel Jacob, jr., blacksmith, 129 Maine; res 101 Ken. ns 2 w 8th. Waggoner Andrew D., laborer; res Sixth es n State, in rear. Waggoner Henry, laborer; res Sixth es n State, in rear. Waggoner John, laborer; res Sixth es n State, in rear. WAGNER AUGUSTUS 6 saloon, Front es 3 s Vermont; res 28 Vermont ss 1 e Second. Wagner Caroline, widow of Christian ; res 114 Vermont ss 2 w 7th. Wagner Johann, laborer; res Payson avenue ss 2 w Fourth. Wakeman Ann, widow of George; res 73 Fifth ws 1 s York.

9. The Wald System 1935) and abraham wald (1935, 1936), followed up on the NeisserStackelberg-Zeuthen critique of the Walras-Cassel It was up to abraham wald ( 1935, 1936) to show that this http://cepa.newschool.edu/het/essays/get/waldsys.htm

The Wald System "Accordingly, to a follower of Menger, the determination of economic equilibrium would not merely involve the determination of the prices of those goods which have prices (as in Walras); it should also involve the determination of which goods are to have prices and which are to be free. The weakness of the Walras-Cassel lies in the implied assumption that the whole amount of each available factor is utilized; once that assumption is dropped, the awkwardness of the construction....can be shown to disappear." (John Hicks , "Linear Theory", Economic Journal Contents Problems in the Walras-Cassel Model The Schlesinger-Wald Inequalities and Shadow Values A Simple Graphical Illustration Existence and Uniqueness of Equilibrium ... Back [For alternative presentations, consult Kuhn (1956), Dorfman, Samuelson and Solow (1958: Ch. 13), Karlin (1959), Lancaster (1968: Ch.9) and Weintraub (1983)]. Problems in the Walras-Cassel Model Recall that in the simplest Walras-Cassel system we had the following set of equations: (i) Output market equilibrium: x D p w (ii) Factor market equilibrium: v B x (iii) Price-cost equalities: p Bw If we have n produced goods and m factors, then have n equations in (i), m equations in (ii) and n equations in (iii), but as we can always remove one equation by Walras's Law, then we have a total of 2n+m-1 equations. The unknowns in this system are

10. Wald Biography of abraham wald (19021950) abraham wald. Born 31 Oct 1902 in Kolozsvár, Hungary (now Cluj, Romania) Main index. abraham wald was born into a Jewish family in Hungary http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Wald.html

Abraham Wald Born: Died: 13 Dec 1950 in Travancore, India Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Abraham Wald was born into a Jewish family in Hungary. It was a family of intellectuals but, being Jewish, they were forced to earn their living in trades well below their abilities. At this time both primary and secondary schools in Hungary required pupils to attend on Saturdays and the Wald family could not allow their son to attend school on the Jewish Sabbath. As a result Abraham did not attend either primary of secondary school and was educated at home by members of his family. This certainly did not put him at a disadvantage from an educational point of view for his family were very knowledgeable and competent teachers. After World War I much of the land that had been part of Hungary was given to neighbouring countries and at that time Cluj became part of Romania. Wald was allowed to attend the University of Cluj but it appears that this was not made easy for him because he was Jewish. However his outstanding abilities in mathematics led him to wish to continue to undertake mathematical research and in 1927 he entered the University of Vienna to study with Karl Menger . He worked under Menger 's supervision on geometry and was awarded his doctorate in 1931.

11. References For Wald References for abraham wald. Biography Selected papers in statistics andprobability by abraham wald (New YorkToronto-London, 1955). Articles http://www-gap.dcs.st-and.ac.uk/~history/References/Wald.html

References for Abraham Wald Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: E Dierker and K Sigmund (eds.), K Menger, Ergebnisse eines mathematischen Kolloquiums (Vienna, 1998). Selected papers in statistics and probability by Abraham Wald (New York-Toronto-London, 1955). Articles: B de Finetti, L'opera di Abraham Wald e l'assestamento concettuale della statistica matematica moderna, Statistica, Milano H Freeman, Abraham Wald, in D L Sills (ed.), International Encyclopedia of Social Sciences H Hotelling, Abraham Wald, American Statistician K Menger, The formative years of Abraham Wald and his work in geometry, Annals of Mathematical Statistics O Morgenstern, Abraham Wald, 1902-1950, Econometrica S N Roy, Obituary: Abraham Wald, Calcutta Statist. Assoc. Bull. L Schmetterer, Obituary: Abraham Wald, Statist. Vierteljschr. The publications of Abraham Wald, Ann. Math. Statistics G Tintner, Abraham Wald's contributions to econometrics, Ann. Math. Statistics L Weiss, Abraham Wald, in

12. Wald, Abraham., Sequential Analysis. wald, abraham. First edition., abraham wald pioneered the science of decisionanalysis and, in particular, that of sequential decision making. http://www.polybiblio.com/mrtbksla/12026.html

Michael R. Thompson Bookseller Wald, Abraham. Sequential Analysis. Octavo., xii, 212 pp., Sixteen figures, seven tables., Navy cloth with gilt spine., Ink notation on front free endpaper. A very good copy in the scarce d.j. First edition., Abraham Wald pioneered the science of decision analysis and, in particular, that of sequential decision making. Before Wald, the traditional style of statistical decision was to posit a hypothesis, make a predetermined number of measurements, then make a decision whether to accept or reject the hypothesis. Wald realized that this procedure is quite wasteful, and that many measurements could be saved if given the option to decide at every step whether to continue or stop the measurement process. This idea revolutionized the art of statistical testing and was later developed in the hands of computer scientists into a field known as on-line algorithms. "Most, although not all, of [Wald's] results were summed up in Sequential Analysis (1974). With minor exceptions, the entire contents of this book were obtained by him. Such a phenomenon is rare in mathematical books and indicates the extent to which he founded and dominated the field of sequential analysis" (DSB). This item is listed on Bibliopoly by Michael R. Thompson Bookseller

13. Biografia De Wald, Abraham Translate this page wald, abraham. (Klausenburg, 1902- en los montes Nilgizi, 1950) Matemáticoaustríaco, nacionalizado estadounidense. Exiliado a http://www.biografiasyvidas.com/biografia/w/wald_abraham.htm

Inicio Buscador Utilidades Recomendar sitio Enlaces Wald, Abraham (Klausenburg, 1902- en los montes Nilgizi, 1950) Matemático austríaco, nacionalizado estadounidense. Exiliado a EE UU en 1938, se especializó en estadística y aportó a esta ciencia un elevado rigor matemático. Fue el fundador del análisis secuencial. Inicio Buscador Recomendar sitio

14. Índice Alfabético - W Translate this page Wajda, Andrzej Wakefield, Edward Gibbon Waksman, Selman abraham Walafrido EstrabónWalburga o Walpurgis, santa Walcott, Derek wald, abraham wald, George http://www.biografiasyvidas.com/biografia/w/index0001.htm

Inicio Buscador Utilidades Recomendar sitio Enlaces W Waage, Peter Waals, Johannes Diderik van der Wace Wachsmann, Konrad ... Wallin, Johan Olof Inicio Buscador Recomendar sitio

15. Citations: Sequential Analysis - Wald (ResearchIndex) abraham wald. Sequential Analysis. John Wiley Sons, 1947. process on an underlying system which undergoes discontinuous . abraham wald. Sequential Analysis It is well known that sequential sampling . abraham wald. Sequential Analysis http://citeseer.nj.nec.com/context/78315/0

65 citations found. Retrieving documents... Wald, A.: Sequential Analysis Home/Search Document Not in Database Summary Related Articles Check This paper is cited in the following contexts: First 50 documents Next 50 Best Increments for the Average Case of Shellsort - Ciura (2001) (Correct) ....that do not cover the sequences used in practice [2,5,14] Also, sequences of increments that minimize the average running time of Shellsort were not known so far. 2 Sequential Analysis Sequential analysis is a method of verifying statistical hypotheses developed by Abraham Wald in the 1940s Whereas classical statistical criteria fix the R. Freivalds (Ed. FCT 2001, LNCS 2138, pp. 106 117, 2001. Springer Verlag Berlin Heidelberg 2001 size of the random sample before it is drawn, in sequential analysis its size is determined dynamically by analyzing a sequentially obtained .... Wald, A.: Sequential Analysis On Sequential Watermark Detection - Chandramouli And Nasir (Correct) ....Watermark Detection In this section we describe the analysis involved in designing a sequential watermark detector as a binary hypothesis test and explain how some of the popular watermarking techniques can be detected by this method. Sequential hypothesis testing was pioneered by Wald The main feature of a sequential hypothesis test that di#erentiates it from a fixed sample size (FSS) hypothesis test is the number of observations (or samples) required by the sequential detector.

16. Biography-center - Letter W wald, abraham wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/wald.html;wald, George www.nobel.se/medicine/laureates/1967/wald-bio.html; http://www.biography-center.com/w.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish W 476 biographies Waals, Johannes Diderik van der www.nobel.se/physics/laureates/1910/waals-bio.html Waardenburg, Petrus Johannes www.whonamedit.com/doctor.cfm/1012.html Waerden, Bartel van der www-history.mcs.st-and.ac.uk/~history/Mathematicians/Van_der_Waerden.html Wagner, Richard www.island-of-freedom.com/WAGNER.HTM library.thinkquest.org/20117/doebler.html Wagner-Joregg, Julius www.nobel.se/medicine/laureates/1927/wagner-jauregg-bio.html Wahlöö, Per www.kirjasto.sci.fi/wahloo.htm Wakata, Koichi www.jsc.nasa.gov/Bios/htmlbios/wakata.html Wake, Nancy www.abc.net.au/btn/australians/wake.htm Wakefield, Ruth web.mit.edu/invent/www/inventorsR-Z/wakefield.html Waksman, Selman Abraham www.nobel.se/medicine/laureates/1952/waksman-bio.html Walcott, Derek

17. SSRN-Abraham Wald's Equilibrium Existence Proof Reconsidered By Reinhard John Paper Stats Abstract Views 84 Downloads 0, abraham wald s Equilibrium ExistenceProof Reconsidered, REINHARD JOHN University of Bonn Economic Science Area http://papers.ssrn.com/sol3/papers.cfm?abstract_id=151468

18. FamilySearch Internet - Search Gender M Birth/Christening Abt 1895. 10.abraham wald Ancestral File 1848 Evangelisch, Weinfelden, Thurgau, Switzerland. 155.abraham wald - International Genealogical Index / CE http://www.familysearch.org/eng/Search/frameset_search.asp?PAGE=AncestorSearchRe

19. INSTITUTO ARGENTINO DE MATEMÁTICA New York 1977. wald, abraham. wald, abraham. Sequential analysis. Wiley. NewYork 1947. wald, abraham. Sobre los principios de la inferencia estadística. http://www.iam.conicet.gov.ar/Biblioteca/BD-LIBROS-W.html

INSTITUTO ARGENTINO DE MATEMÁTICA BIBLIOTECA LIBRARY Base de Datos de Libros Books Data Base - W - Wadderburn, J.H.M. Wadderburn, J.H.M. Lectures on Matrices Dover Publications Inc. N.York 1964-00-00 Wade, Thomas L. Wade, Thomas L. The algebra of vectors and matrices Addison-Wesley. Cambridge 1951 Wadsworth, George P. Wadsworth, George P.; Bryan, Joseph G. Introduction to probability and Random variables McGraw-Hill. New York 1960 Waerden, B. L. van der Waerden, B. L. van der Moderne algebra Ungar. New York 1943 Waerden, B. L. van der Einführung in die algebraische gemmetrie Dover. New York 1945 Waerden, B. L. van der Statistique mathématique Dunod. Paris 1967 Waerden, B. L. van der Modern algebra Ungar. New York 1949, 50 Waerden, B. L. van der Algebra Hayka. Moscú 1976 Waerden, Bartel van der Waerden, Bartel van der; Gross, Herbert Studien theorie der quadratischen formen Birkhäuser. Bassel 1968 Wagner, Frank O. Wagner, Frank O. Stable groups Wagner 1997 Wainstein, L. A. Wainstein, L. A.; Zubakov, V. D. Extraction of signals from noise Prentice-Hall. Englewood Cliffs, N. J. 1962

20. The Mathematics Genealogy Project - Index Of W of California, Los Angeles. 1998. wald, abraham. Universität Wien. 1931. wald, Burkhard Darmstadt. 1976. waldmann, Hermann. Technische Universität CaroloWilhelmina zu Braunschweig http://genealogy.math.ndsu.nodak.edu/html/letter.phtml?letter=W&fShow=1

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