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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. -
13Th International Workshop on Matrices and Statistics Program And
13th International Workshop on Matrices and Statistics B¸edlewo, Poland August 18–21, 2004 Program and abstracts Organizers • Stefan Banach International Mathematical Center, Warsaw • Committee of Mathematics of the Polish Academy of Sciences, Warsaw • Faculty of Mathematics and Computer Science, Adam Mickiewicz Uni- versity, Pozna´n • Institute of Socio-Economic Geography and Spatial Management, Faculty of Geography and Geology, Adam Mickiewicz University, Pozna´n • Department of Mathematical and Statistical Methods, Agricultural Uni- versity, Pozna´n This meeting has been endorsed by the International Linear Algebra Society. II Sponsors of the 13th International Workshop on Matrices and Statistics III Mathematical Research and Conference Center in B¸edlewo IV edited by A. Markiewicz Department of Mathematical and Statistical Methods, Agricultural University, Pozna´n,Poland and W. Wo ly´nski Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna´n,Poland Contents Part I. Introduction Poetical Licence The New Intellectual Aristocracy ............ 3 Richard William Farebrother Part II. Local Information Part III. Program Part IV. Ingram Olkin Ingram Olkin, Statistical Statesman .......................... 21 Yadolah Dodge Why is matrix analysis part of the statistics curriculum ...... 25 Ingram Olkin A brief biography and appreciation of Ingram Olkin .......... 31 A conversation with Ingram Olkin ............................ 34 Bibliography .................................................. 58 Part V. Abstracts Asymptotic -
Introduction to Statistically Designed Experiments, NREL
Introduction to Statistically Designed Experiments Mike Heaney ([email protected]) ASQ Denver Section 1300 Monthly Membership Meeting September 13, 2016 Englewood, Colorado NREL/PR-5500-66898 Objectives Give some basic background information on statistically designed experiments Demonstrate the advantages of using statistically designed experiments1 1 Often referred to as design of experiments (DOE or DOX), or experimental design. 2 A Few Thoughts Many companies/organizations do experiments for Process improvement Product development Marketing strategies We need to plan our experiments as efficiently and effectively as possible Statistically designed experiments have a proven track record (Mullin 2013 in Chemical & Engineering News) Conclusions supported by statistical tests Substantial reduction in total experiments Why are we still planning experiments like it’s the 19th century? 3 Outline • Research Problems • The Linear Model • Key Types of Designs o Full Factorial o Fractional Factorial o Response Surface • Sequential Approach • Summary 4 Research Problems Research Problems Is a dependent variable (Y) affected by multiple independent variables (Xs)? Objective: Increase bearing lifetime (Hellstrand 1989) Y Bearing lifetime (hours) X1 Inner ring heat treatment Outer ring osculation (ratio Outer Ring X2 between ball diameter and outer ring raceway radius) Ball X3 Cage design Cage Inner Ring 6 Research Problems Objective: Hydrogen cyanide (HCN) removal in diesel exhaust gas (Zhao et al. 2006) Y HCN conversion X1 Propene -
Appendix A: Mathematical Formulas
Appendix A: Mathematical Formulas Logarithms Inab = \na -\-\nb', \na/b = \na— \nb; \na^=b\na Geometric Series If Irl < 1, we find that oo oo E ar^ = ; y^akr^ = r; ^=0 A:=o y^ n Z-^ 1 -r ^^ 1 -r ^=1 k=0 Limits UHospitaVs rule. Suppose that \\vOix->XQ fix) = lim;c-^A:o sM = 0* or that liirix-^xo Z^-^) = l™x^jco SM — =t^^- Then, under some conditions, we can write that y fix) ^. fix) um = hm . x-^XQ g{x) x^xo g^{x) If the functions f\x) and g\x) satisfy the same conditions as f(x) and g(x), we can repeat the process. Moreover, the constant XQ may be equal to ±oo. Derivatives Derivative of a quotient: d fix) gix)fix) - fix)g\x) = 7^ 11 gix) ^0. dx gix) g^ix) 340 Appendix A: Mathematical Formulas Remark. This formula can also be obtained by differentiating the product f(x)h(x), where/Z(A:) := l/g(x). Chain rule. If w = ^(jc), then we have: d d du , , ^fiu) = —f(u) . — = f\u)g\x) = AgixWix). dx du dx For example, if w = jc^, we calculate — exp(M^) = exp(w^)2w • 2x = 4x^ expU"*). dx Integrals Integration by parts: j udv = uv — I vdu. Integration by substitution. If the inverse function g~^ exists, then we can write that rh rd j f(x)dx = j f[g(y)]g{y)dy, where a = g(c) ^ c = g ^(a) and b = g(d) <^ d = g ^(b). For example, / e''^'dx-^=^' f 2yeydy=2yey\l-2 f e^ dy = 2e^-\-2. -
STATISTICAL SCIENCE Volume 31, Number 4 November 2016
STATISTICAL SCIENCE Volume 31, Number 4 November 2016 ApproximateModelsandRobustDecisions..................James Watson and Chris Holmes 465 ModelUncertaintyFirst,NotAfterwards....................Ingrid Glad and Nils Lid Hjort 490 ContextualityofMisspecificationandData-DependentLosses..............Peter Grünwald 495 SelectionofKLNeighbourhoodinRobustBayesianInference..........Natalia A. Bochkina 499 IssuesinRobustnessAnalysis.............................................Michael Goldstein 503 Nonparametric Bayesian Clay for Robust Decision Bricks ..................................................Christian P. Robert and Judith Rousseau 506 Ambiguity Aversion and Model Misspecification: An Economic Perspective ................................................Lars Peter Hansen and Massimo Marinacci 511 Rejoinder: Approximate Models and Robust Decisions. .James Watson and Chris Holmes 516 Filtering and Tracking Survival Propensity (Reconsidering the Foundations of Reliability) .......................................................................Nozer D. Singpurwalla 521 On Software and System Reliability Growth and Testing. ..............FrankP.A.Coolen 541 HowAboutWearingTwoHats,FirstPopper’sandthendeFinetti’s?..............Elja Arjas 545 WhatDoes“Propensity”Add?...................................................Jane Hutton 549 Reconciling the Subjective and Objective Aspects of Probability ...............Glenn Shafer 552 Rejoinder:ConcertUnlikely,“Jugalbandi”Perhaps..................Nozer D. Singpurwalla 555 ChaosCommunication:ACaseofStatisticalEngineering...............Anthony -
Statistics: Challenges and Opportunities for the Twenty-First Century
This is page i Printer: Opaque this Statistics: Challenges and Opportunities for the Twenty-First Century Edited by: Jon Kettenring, Bruce Lindsay, & David Siegmund Draft: 6 April 2003 ii This is page iii Printer: Opaque this Contents 1 Introduction 1 1.1 The workshop . 1 1.2 What is statistics? . 2 1.3 The statistical community . 3 1.4 Resources . 5 2 Historical Overview 7 3 Current Status 9 3.1 General overview . 9 3.1.1 The quality of the profession . 9 3.1.2 The size of the profession . 10 3.1.3 The Odom Report: Issues in mathematics and statistics 11 4 The Core of Statistics 15 4.1 Understanding core interactivity . 15 4.2 A detailed example of interplay . 18 4.3 A set of research challenges . 20 4.3.1 Scales of data . 20 4.3.2 Data reduction and compression. 21 4.3.3 Machine learning and neural networks . 21 4.3.4 Multivariate analysis for large p, small n. 21 4.3.5 Bayes and biased estimation . 22 4.3.6 Middle ground between proof and computational ex- periment. 22 4.4 Opportunities and needs for the core . 23 4.4.1 Adapting to data analysis outside the core . 23 4.4.2 Fragmentation of core research . 23 4.4.3 Growth in the professional needs. 24 4.4.4 Research funding . 24 4.4.5 A Possible Program . 24 5 Statistics in Science and Industry 27 5.1 Biological Sciences . 27 5.2 Engineering and Industry . 33 5.3 Geophysical and Environmental Sciences . -
Why Distinguish Between Statistics and Mathematical Statistics – the Case of Swedish Academia
Why distinguish between statistics and mathematical statistics { the case of Swedish academia Peter Guttorp1 and Georg Lindgren2 1Department of Statistics, University of Washington, Seattle 2Mathematical Statistics, Lund University, Lund 2017/10/11 Abstract A separation between the academic subjects statistics and mathematical statistics has existed in Sweden almost as long as there have been statistics professors. The same distinction has not been maintained in other countries. Why has it been kept so for long in Sweden, and what consequences may it have had? In May 2015 it was 100 years since Mathematical Statistics was formally estab- lished as an academic discipline at a Swedish university where Statistics had existed since the turn of the century. We give an account of the debate in Lund and elsewhere about this division dur- ing the first decades after 1900 and present two of its leading personalities. The Lund University astronomer (and mathematical statistician) C.V.L. Charlier was a lead- ing proponent for a position in mathematical statistics at the university. Charlier's adversary in the debate was Pontus Fahlbeck, professor in political science and statis- tics, who reserved the word statistics for \statistics as a social science". Charlier not only secured the first academic position in Sweden in mathematical statistics for his former Ph.D. student Sven Wicksell, but he also demonstrated that a mathematical statistician can be influential in matters of state, finance, as well as in different nat- ural sciences. Fahlbeck saw mathematical statistics as a set of tools that sometimes could be useful in his brand of statistics. After a summary of the organisational, educational, and scientific growth of the statistical sciences in Sweden that has taken place during the last 50 years, we discuss what effects the Charlier-Fahlbeck divergence might have had on this development. -
Science and Engineering Labor Force
National Science Board | Science & Engineering Indicators 2018 3 | 1 CHAPTER 3 Science and Engineering Labor Force Table of Contents Highlights................................................................................................................................................................................. 3-6 U.S. S&E Workforce: Definition, Size, and Growth ............................................................................................................ 3-6 S&E Workers in the Economy .............................................................................................................................................. 3-6 S&E Labor Market Conditions ............................................................................................................................................. 3-7 Demographics of the S&E Workforce ................................................................................................................................. 3-7 Global S&E Labor Force........................................................................................................................................................ 3-8 Introduction............................................................................................................................................................................. 3-9 Chapter Overview ................................................................................................................................................................. 3-9 Chapter -
Probability Distributions Used in Reliability Engineering
Probability Distributions Used in Reliability Engineering Probability Distributions Used in Reliability Engineering Andrew N. O’Connor Mohammad Modarres Ali Mosleh Center for Risk and Reliability 0151 Glenn L Martin Hall University of Maryland College Park, Maryland Published by the Center for Risk and Reliability International Standard Book Number (ISBN): 978-0-9966468-1-9 Copyright © 2016 by the Center for Reliability Engineering University of Maryland, College Park, Maryland, USA All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from The Center for Reliability Engineering, Reliability Engineering Program. The Center for Risk and Reliability University of Maryland College Park, Maryland 20742-7531 In memory of Willie Mae Webb This book is dedicated to the memory of Miss Willie Webb who passed away on April 10 2007 while working at the Center for Risk and Reliability at the University of Maryland (UMD). She initiated the concept of this book, as an aid for students conducting studies in Reliability Engineering at the University of Maryland. Upon passing, Willie bequeathed her belongings to fund a scholarship providing financial support to Reliability Engineering students at UMD. Preface Reliability Engineers are required to combine a practical understanding of science and engineering with statistics. The reliability engineer’s understanding of statistics is focused on the practical application of a wide variety of accepted statistical methods. Most reliability texts provide only a basic introduction to probability distributions or only provide a detailed reference to few distributions. -
A Project Based Approach to Doe in Materials Lawrence Genalo Iowa State University, [email protected]
Materials Science and Engineering Conference Materials Science and Engineering Papers, Posters and Presentations 1999 A Project Based Approach To Doe In Materials Lawrence Genalo Iowa State University, [email protected] Follow this and additional works at: http://lib.dr.iastate.edu/mse_conf Part of the Curriculum and Instruction Commons, Engineering Education Commons, Other Materials Science and Engineering Commons, and the Science and Mathematics Education Commons Recommended Citation Genalo, Lawrence, "A Project Based Approach To Doe In Materials" (1999). Materials Science and Engineering Conference Papers, Posters and Presentations. 20. http://lib.dr.iastate.edu/mse_conf/20 This Conference Proceeding is brought to you for free and open access by the Materials Science and Engineering at Iowa State University Digital Repository. It has been accepted for inclusion in Materials Science and Engineering Conference Papers, Posters and Presentations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. A Project Based Approach To Doe In Materials Abstract At Iowa State University, the Materials Science and Engineering Department teaches a course in the statistics of materials. Approximately one third of this two credit course is devoted to the design of experiments (DOE). A relatively brief introduction to the theory of DOE sets the stage for the inclusion of a software package used to assist materials engineers to design and analyze the results of experiments. Texts for engineering statistics (1-3) contain chapters dealing with the design of experiments. Literature in materials journals routinely contains references to DOE (4-8). Coupling these texts and recent articles with some practical exposure to design of experiments and the software used to do this, allows students some exposure to industrial practice. -
A Bayesian Network Meta-Analysis to Synthesize the Influence of Contexts of Scaffolding Use on Cognitive Outcomes in STEM Education
RERXXX10.3102/0034654317723009Belland et al.Bayesian Network Meta-Analysis of Scaffolding 723009research-article2017 Review of Educational Research December 2017, Vol. 87, No. 6, pp. 1042 –1081 DOI: 10.3102/0034654317723009 © 2017 AERA. http://rer.aera.net A Bayesian Network Meta-Analysis to Synthesize the Influence of Contexts of Scaffolding Use on Cognitive Outcomes in STEM Education Brian R. Belland, Andrew E. Walker, and Nam Ju Kim Utah State University Computer-based scaffolding provides temporary support that enables stu- dents to participate in and become more proficient at complex skills like problem solving, argumentation, and evaluation. While meta-analyses have addressed between-subject differences on cognitive outcomes resulting from scaffolding, none has addressed within-subject gains. This leaves much quantitative scaffolding literature not covered by existing meta-analyses. To address this gap, this study used Bayesian network meta-analysis to synthe- size within-subjects (pre–post) differences resulting from scaffolding in 56 studies. We generated the posterior distribution using 20,000 Markov Chain Monte Carlo samples. Scaffolding has a consistently strong effect across stu- dent populations, STEM (science, technology, engineering, and mathemat- ics) disciplines, and assessment levels, and a strong effect when used with most problem-centered instructional models (exception: inquiry-based learn- ing and modeling visualization) and educational levels (exception: second- ary education). Results also indicate some promising -
A Bayesian Network Meta-Analysis to Synthesize the Influence of Contexts of Scaffolding Use on Cognitive Outcomes in STEM Education
RERXXX10.3102/0034654317723009Belland et al.Bayesian Network Meta-Analysis of Scaffolding 723009research-article2017 View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by DigitalCommons@USU Review of Educational Research December 2017, Vol. 87, No. 6, pp. 1042 –1081 DOI: 10.3102/0034654317723009 © 2017 AERA. http://rer.aera.net A Bayesian Network Meta-Analysis to Synthesize the Influence of Contexts of Scaffolding Use on Cognitive Outcomes in STEM Education Brian R. Belland, Andrew E. Walker, and Nam Ju Kim Utah State University Computer-based scaffolding provides temporary support that enables stu- dents to participate in and become more proficient at complex skills like problem solving, argumentation, and evaluation. While meta-analyses have addressed between-subject differences on cognitive outcomes resulting from scaffolding, none has addressed within-subject gains. This leaves much quantitative scaffolding literature not covered by existing meta-analyses. To address this gap, this study used Bayesian network meta-analysis to synthe- size within-subjects (pre–post) differences resulting from scaffolding in 56 studies. We generated the posterior distribution using 20,000 Markov Chain Monte Carlo samples. Scaffolding has a consistently strong effect across stu- dent populations, STEM (science, technology, engineering, and mathemat- ics) disciplines, and assessment levels, and a strong effect when used with most problem-centered instructional models (exception: inquiry-based learn- ing and modeling visualization) and educational levels (exception: second- ary education). Results also indicate some promising areas for future scaffolding research, including scaffolding among students with learning disabilities, for whom the effect size was particularly large (ḡ = 3.13).