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The Meaning of Probability
CHAPTER 2 THE MEANING OF PROBABILITY INTRODUCTION by Glenn Shafer The meaning of probability has been debated since the mathematical theory of probability was formulated in the late 1600s. The five articles in this section have been selected to provide perspective on the history and present state of this debate. Mathematical statistics provided the main arena for debating the meaning of probability during the nineteenth and early twentieth centuries. The debate was conducted mainly between two camps, the subjectivists and the frequentists. The subjectivists contended that the probability of an event is the degree to which someone believes it, as indicated by their willingness to bet or take other actions. The frequentists contended that probability of an event is the frequency with which it occurs. Leonard J. Savage (1917-1971), the author of our first article, was an influential subjectivist. Bradley Efron, the author of our second article, is a leading contemporary frequentist. A newer debate, dating only from the 1950s and conducted more by psychologists and economists than by statisticians, has been concerned with whether the rules of probability are descriptive of human behavior or instead normative for human and machine reasoning. This debate has inspired empirical studies of the ways people violate the rules. In our third article, Amos Tversky and Daniel Kahneman report on some of the results of these studies. In our fourth article, Amos Tversky and I propose that we resolve both debates by formalizing a constructive interpretation of probability. According to this interpretation, probabilities are degrees of belief deliberately constructed and adopted on the basis of evidence, and frequencies are only one among many types of evidence. -
Selected Bibliography of American History Through Biography
DOCUMENT RESUME ED 088 763 SO 007 145 AUTHOR Fustukjian, Samuel, Comp. TITLE Selected Bibliography of American History through Biography. PUB DATE Aug 71 NOTE 101p.; Represents holdings in the Penfold Library, State University of New York, College at Oswego EDRS PRICE MF-$0.75 HC-$5.40 DESCRIPTORS *American Culture; *American Studies; Architects; Bibliographies; *Biographies; Business; Education; Lawyers; Literature; Medicine; Military Personnel; Politics; Presidents; Religion; Scientists; Social Work; *United States History ABSTRACT The books included in this bibliography were written by or about notable Americans from the 16th century to the present and were selected from the moldings of the Penfield Library, State University of New York, Oswego, on the basis of the individual's contribution in his field. The division irto subject groups is borrowed from the biographical section of the "Encyclopedia of American History" with the addition of "Presidents" and includes fields in science, social science, arts and humanities, and public life. A person versatile in more than one field is categorized under the field which reflects his greatest achievement. Scientists who were more effective in the diffusion of knowledge than in original and creative work, appear in the tables as "Educators." Each bibliographic entry includes author, title, publisher, place and data of publication, and Library of Congress classification. An index of names and list of selected reference tools containing biographies concludes the bibliography. (JH) U S DEPARTMENT Of NIA1.114, EDUCATIONaWELFARE NATIONAL INSTITUTE OP EDUCATION THIS DOCUMENT HAS BEEN REPRO DUCED ExAC ICY AS RECEIVED FROM THE PERSON OR ORGANIZATIONORIGIN ATING IT POINTS OF VIEW OR OPINIONS STATED DO NOT NECESSARILYREPRE SENT OFFICIAL NATIONAL INSTITUTEOF EDUCATION POSITION OR POLICY PREFACE American History, through biograRhies is a bibliography of books written about 1, notable Americans, found in Penfield Library at S.U.N.Y. -
Henry Andrews Bumstead 1870-1920
NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA BIOGRAPHICAL MEMOIRS VOLUME XIII SECOND MEMOIR BIOGRAPHICAL MEMOIR OF HENRY ANDREWS BUMSTEAD 1870-1920 BY LEIGH PAGE PRESENTED TO THE ACADEMY AT THE ANNUAL MEETING, 1929 HENRY ANDREWS BUMSTEAD BY LIUGH PAGE Henry Andrews Bumstead was born in the small town of Pekin, Illinois, on March 12th, 1870, son of Samuel Josiah Bumstead and Sarah Ellen Seiwell. His father, who was a physician of considerable local prominence, had graduated from the medical school in Philadelphia and was one of the first American students of medicine to go to Vienna to complete his studies. While the family was in Vienna, Bumstead, then a child three years of age, learned to speak German as fluently as he spoke English, an accomplishment which was to prove valuable to him in his subsequent career. Bumstead was descended from an old New England family which traces its origin to Thomas Bumstead, a native of Eng- land, who settled in Boston, Massachusetts, about 1640. Many of his ancestors were engaged in the professions, his paternal grandfather, the Reverend Samuel Andrews Bumstead, being a graduate of Princeton Theological Seminary and a minister in active service. From them he inherited a keen mind and an unusually retentive memory. It is related that long before he had learned to read, his Sunday school teacher surprised his mother by complimenting her on the ease with which her son had rendered the Sunday lesson. It turned out that his mother made a habit of reading the lesson to Bumstead before he left for school, and the child's remarkable performance there was due to his ability to hold in his memory every word of the lesson after hearing it read to him a single time. -
Strength in Numbers: the Rising of Academic Statistics Departments In
Agresti · Meng Agresti Eds. Alan Agresti · Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics DepartmentsStatistics in the U.S. Rising of Academic The in Numbers: Strength Statistics Departments in the U.S. Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. Alan Agresti • Xiao-Li Meng Editors Strength in Numbers: The Rising of Academic Statistics Departments in the U.S. 123 Editors Alan Agresti Xiao-Li Meng Department of Statistics Department of Statistics University of Florida Harvard University Gainesville, FL Cambridge, MA USA USA ISBN 978-1-4614-3648-5 ISBN 978-1-4614-3649-2 (eBook) DOI 10.1007/978-1-4614-3649-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012942702 Ó Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. -
Cramer, and Rao
2000 PARZEN PRIZE FOR STATISTICAL INNOVATION awarded by TEXAS A&M UNIVERSITY DEPARTMENT OF STATISTICS to C. R. RAO April 24, 2000 292 Breezeway MSC 4 pm Pictures from Parzen Prize Presentation and Reception, 4/24/2000 The 2000 EMANUEL AND CAROL PARZEN PRIZE FOR STATISTICAL INNOVATION is awarded to C. Radhakrishna Rao (Eberly Professor of Statistics, and Director of the Center for Multivariate Analysis, at the Pennsylvania State University, University Park, PA 16802) for outstanding distinction and eminence in research on the theory of statistics, in applications of statistical methods in diverse fields, in providing international leadership for 55 years in directing statistical research centers, in continuing impact through his vision and effectiveness as a scholar and teacher, and in extensive service to American and international society. The year 2000 motivates us to plan for the future of the discipline of statistics which emerged in the 20th century as a firmly grounded mathematical science due to the pioneering research of Pearson, Gossett, Fisher, Neyman, Hotelling, Wald, Cramer, and Rao. Numerous honors and awards to Rao demonstrate the esteem in which he is held throughout the world for his unusually distinguished and productive life. C. R. Rao was born September 10, 1920, received his Ph.D. from Cambridge University (England) in 1948, and has been awarded 22 honorary doctorates. He has worked at the Indian Statistical Institute (1944-1992), University of Pittsburgh (1979- 1988), and Pennsylvania State University (1988- ). Professor Rao is the author (or co-author) of 14 books and over 300 publications. His pioneering contributions (in linear models, multivariate analysis, design of experiments and combinatorics, probability distribution characterizations, generalized inverses, and robust inference) are taught in statistics textbooks. -
Josiah Willard Gibbs
GENERAL ARTICLE Josiah Willard Gibbs V Kumaran The foundations of classical thermodynamics, as taught in V Kumaran is a professor textbooks today, were laid down in nearly complete form by of chemical engineering at the Indian Institute of Josiah Willard Gibbs more than a century ago. This article Science, Bangalore. His presentsaportraitofGibbs,aquietandmodestmanwhowas research interests include responsible for some of the most important advances in the statistical mechanics and history of science. fluid mechanics. Thermodynamics, the science of the interconversion of heat and work, originated from the necessity of designing efficient engines in the late 18th and early 19th centuries. Engines are machines that convert heat energy obtained by combustion of coal, wood or other types of fuel into useful work for running trains, ships, etc. The efficiency of an engine is determined by the amount of useful work obtained for a given amount of heat input. There are two laws related to the efficiency of an engine. The first law of thermodynamics states that heat and work are inter-convertible, and it is not possible to obtain more work than the amount of heat input into the machine. The formulation of this law can be traced back to the work of Leibniz, Dalton, Joule, Clausius, and a host of other scientists in the late 17th and early 18th century. The more subtle second law of thermodynamics states that it is not possible to convert all heat into work; all engines have to ‘waste’ some of the heat input by transferring it to a heat sink. The second law also established the minimum amount of heat that has to be wasted based on the absolute temperatures of the heat source and the heat sink. -
Statistical Inference: Paradigms and Controversies in Historic Perspective
Jostein Lillestøl, NHH 2014 Statistical inference: Paradigms and controversies in historic perspective 1. Five paradigms We will cover the following five lines of thought: 1. Early Bayesian inference and its revival Inverse probability – Non-informative priors – “Objective” Bayes (1763), Laplace (1774), Jeffreys (1931), Bernardo (1975) 2. Fisherian inference Evidence oriented – Likelihood – Fisher information - Necessity Fisher (1921 and later) 3. Neyman- Pearson inference Action oriented – Frequentist/Sample space – Objective Neyman (1933, 1937), Pearson (1933), Wald (1939), Lehmann (1950 and later) 4. Neo - Bayesian inference Coherent decisions - Subjective/personal De Finetti (1937), Savage (1951), Lindley (1953) 5. Likelihood inference Evidence based – likelihood profiles – likelihood ratios Barnard (1949), Birnbaum (1962), Edwards (1972) Classical inference as it has been practiced since the 1950’s is really none of these in its pure form. It is more like a pragmatic mix of 2 and 3, in particular with respect to testing of significance, pretending to be both action and evidence oriented, which is hard to fulfill in a consistent manner. To keep our minds on track we do not single out this as a separate paradigm, but will discuss this at the end. A main concern through the history of statistical inference has been to establish a sound scientific framework for the analysis of sampled data. Concepts were initially often vague and disputed, but even after their clarification, various schools of thought have at times been in strong opposition to each other. When we try to describe the approaches here, we will use the notions of today. All five paradigms of statistical inference are based on modeling the observed data x given some parameter or “state of the world” , which essentially corresponds to stating the conditional distribution f(x|(or making some assumptions about it). -
David Donoho. 50 Years of Data Science. Journal of Computational
Journal of Computational and Graphical Statistics ISSN: 1061-8600 (Print) 1537-2715 (Online) Journal homepage: https://www.tandfonline.com/loi/ucgs20 50 Years of Data Science David Donoho To cite this article: David Donoho (2017) 50 Years of Data Science, Journal of Computational and Graphical Statistics, 26:4, 745-766, DOI: 10.1080/10618600.2017.1384734 To link to this article: https://doi.org/10.1080/10618600.2017.1384734 © 2017 The Author(s). Published with license by Taylor & Francis Group, LLC© David Donoho Published online: 19 Dec 2017. Submit your article to this journal Article views: 46147 View related articles View Crossmark data Citing articles: 104 View citing articles Full Terms & Conditions of access and use can be found at https://www.tandfonline.com/action/journalInformation?journalCode=ucgs20 JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS , VOL. , NO. , – https://doi.org/./.. Years of Data Science David Donoho Department of Statistics, Stanford University, Standford, CA ABSTRACT ARTICLE HISTORY More than 50 years ago, John Tukey called for a reformation of academic statistics. In “The Future of Data science Received August Analysis,” he pointed to the existence of an as-yet unrecognized , whose subject of interest was Revised August learning from data, or “data analysis.” Ten to 20 years ago, John Chambers, Jeff Wu, Bill Cleveland, and Leo Breiman independently once again urged academic statistics to expand its boundaries beyond the KEYWORDS classical domain of theoretical statistics; Chambers called for more emphasis on data preparation and Cross-study analysis; Data presentation rather than statistical modeling; and Breiman called for emphasis on prediction rather than analysis; Data science; Meta inference. -
Statement by Howard Bloch at the FAS Senate Meeting on October 15, 2020 Missed Opportunities
Statement by Howard Bloch at the FAS Senate meeting on October 15, 2020 Missed Opportunities So much of what goes into making a university great has to do with meeting and matching the moment. Science at Yale began with such a recognition. When a meteorite fell on the morning of December 14, 1807 in Weston, CT, an enterprising young Professor of Chemistry, Benjamin Silliman, and a colleague, James Kingsley, who taught Hebrew, Greek, and Latin, set off two days later to bring it back to New Haven. The paper which Silliman presented to the American Philosophical Society in Philadelphia in 1809 engendered a national debate and was probably the first scientific paper in America since those of Benjamin Franklin to attract notice in Europe. When it came to the natural sciences, Yale was unsurpassed by any American university in the nineteenth century, which began with Silliman and ended with Josiah Willard Gibbs whom Albert Einstein, leaving all relativity aside, pronounced “the greatest mind in American history.” But science lagged at Yale in the twentieth century, in part as a result of missed opportunities. Yale failed to hire Jewish scientists exiled from Germany and Hungary in the wake of the rise of Nazism in the 1930s and 40s. None of the exiled physicists who played major and supporting roles in the quantum revolution, Jewish or not, ended up in New Haven, but were welcomed at Princeton/IAS, Columbia, Harvard, MIT, Cornell, the University of Chicago, UC-Berkeley, and Caltech. When we missed the revolution in physics in the first half of the century, we were ill-suited to participate in the revolution in genetics in the second half. -
Slepian-UF-Q2-On the Nature of Time and Being-Gen Ed Syllabus
Quest 2: On the nature of time and being: an astrophysics-informed approach to the big questions Primary General Education Designation: Physical Sciences Secondary General Education Designation: International I. Course Information Quest 2 IDS2935/XXXX, Spring 2020 Meeting Day/Time: TBA Location: TBA General Education Designation: [Physical Sciences, International, WR 4000] * A minimum grade of C is required for general education credit * Instructor Zachary Slepian, PhD [email protected]; (352) 294–1851 Office Hours: Days TBD, Time TBD 302 Bryant Space Science Center Course Description What is the nature of time? What is the nature of space (and space-time)? And where do we fit in? These are hard questions, and this course will not offer final answers. Rather, in this course we will acquire the tools and language to think critically about these questions. We will thoroughly investigate some of the most interesting topics in contemporary physics— the arrow of time, irreversibility, quantum mechanics, cosmology—through the lens of these big questions. Throughout, we will attack these areas via many different channels. This class should be accessible to non-physics majors—indeed, to those with minimal technical background at all—so we will focus on the concepts, exploring the key ideas with almost no math. At the same time, we will mix in ideas from philosophy, history, and art that also bear on these questions. This will make the course relevant and exciting both for those who feel a strong affinity with the arts and humanities as well as for those for whom science resonates more. 1 Importantly, the course will also expose what the scientific method is and how science has been shaped by broader currents in history, culture, and philosophy, and in turn, how it has shaped them. -
Yale University Catalogue, 1860 Yale University
Yale University EliScholar – A Digital Platform for Scholarly Publishing at Yale Yale University Catalogue Yale University Publications 1860 Yale University Catalogue, 1860 Yale University Follow this and additional works at: http://elischolar.library.yale.edu/yale_catalogue Recommended Citation Yale University, "Yale University Catalogue, 1860" (1860). Yale University Catalogue. 49. http://elischolar.library.yale.edu/yale_catalogue/49 This Book is brought to you for free and open access by the Yale University Publications at EliScholar – A Digital Platform for Scholarly Publishing at Yale. It has been accepted for inclusion in Yale University Catalogue by an authorized administrator of EliScholar – A Digital Platform for Scholarly Publishing at Yale. For more information, please contact [email protected]. CATALOGUE OF THE OFFICERS AND STUDENTS IN YALE COLLEGE, WITH A STATEMENT OF THE COURSE OF INSTRUCTION IN THE VARIOUS DEPARTMENTS. 1860-61. P It IX TED BY E. H ~YES, 426 C II APEL T. 1860. 2 THE GOVERNOR, LIEUTENANT GOVERNOR, AND SIX SENIOR SENATORS OF THE STATE ARE, ex officio, )(EMBERS OF THE CORPORATION. PB.ESJ:DENT. REv. THEODORE D. WOOLSEY, D. D., LL. D. FELLOWS.• Hrs Exe. WILLIAM A. BUCKINGHAM, NoRWICH. His IloNoR JULIUS CATLIN, HARTFORD. REv. DAVID SMITH, D. D., DuanAl'tl. REV. NOAH PORTER, D. D., FARl\IINGTON. REV. JEREMIAH DAY, D. D., LL. D., NEW HAVEN. REV. JOEL HAWES, D. D., HARTFORD. REV. JOSEPH ELDRIDGE, D. D., NORFOLK. REV. GEORGE A. CALHOUN, D. D., COVENTRY. REv. GEORGE J. TILLOTSON, PuTNAl\l. REV. EDWIN R. GILBERT, WALLINGFORD. REV. JOEL H. LINSLEY, D. D., GREENWICH. HoN. ELISHA JOHNSON, HARTFORD. HoN. JOHN W. -
Curriculum Vitae January 2017 DONALD
Curriculum Vitae January 2017 DONALD B. RUBIN University John L. Loeb Professor of Statistics Address: Department of Statistics Harvard University 1 Oxford Street Cambridge, MA 02138 Email: [email protected] Education: A.B. 1965 Princeton University magna cum laude Major: Psychology Phi Beta Kappa Advisor: Professor Lawrence A. Pervin Thesis: “Dissatisfaction with College and Tendency to Drop Out of College as a Function of Value Dissonance” M.S. 1966 Harvard University Major: Computer Science Advisor: Professor Anthony G. Oettinger Ph.D. 1970 Harvard University Major: Statistics Advisor: Professor William G. Cochran Thesis: “The Use of Matched Sampling and Regression Adjustment in Observational Studies” Faculty Positions at Harvard University: 2002-present John L. Loeb Professor of Statistics. 2000-2004 & Chairman, Department of Statistics. 1985-1994 2003-present Faculty Associate, Center for Basic Research in the Social Sciences. 1984-2002 Professor, Department of Statistics. 1999-2000 Chairman, Department of Statistics’ Senior Search Committee. 1997-2000 & Director of Graduate Studies, Department of Statistics. 1985-1991 1998-present Member, Standing Committee on Health Policy, Harvard University. 1997-2000 Faculty Staff, Program on Educational Policy and Governance. - 2 - DONALD B. RUBIN Other Professional Positions: 1999-2001 Fellow in Theoretical and Applied Statistics, National Bureau of Economic Research, Cambridge, Massachusetts. 1983-Present Research Associate, NORC, Chicago, Illinois. 1982-1984 Professor, Department of Statistics and Department of Education, The University of Chicago, Illinois. 1982 Visiting Professor (February, April), Department of Mathematics, University of Texas at Austin. 1981-1982 Visiting Professor, Mathematics Research Center, University of Wisconsin at Madison. 1981-2008 President, Datametrics Research, Inc., Waban, Massachusetts.