American economic journal Economic policy

• Record Nr.: UNISA996210559003316
• Pubbl/distr/stampa: Nashville, TN, : American Economic Association, 2009-
• ISSN: 1945-774X
• Disciplina: 338
• Soggetti: Economic policy; Economie; Periodicals.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Periodico
• Note generali: Refereed/Peer-reviewed

Statistical decision theory and related topics III . Volume 2 / / edited by Shanti S. Gupta and James O. Berger

• Record Nr.: UNINA9910786641903321
• Pubbl/distr/stampa: New York ; ; London, England : , : Academic Press, , 1982; ©1982
• ISBN: 1-4832-5955-2
• Descrizione fisica: 1 online resource (551 p.)
• Disciplina: 519.5/42; 519.542
• Soggetti: Statistical decision
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Proceedings of the Third Purdue Symposium on Statistical Decision Theory and Related Topics, held at Purdue University on June 1-5, 1981"--T.p. verso.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: Front Cover; Statistical Decision Theory and Related Topics III; Copyright Page; Table of Contents; CONTRIBUTORS; PREFACE; ; CONTENTS OF VOLUME 1; CHAPTER 1. SOME LOCALLY OPTIMAL SUBSET SELECTION RULES BASED ON RANKS; I. INTRODUCTION; II. SELECTING THE BEST POPULATION; III. COMPARISON WITH A CONTROL; REFERENCES; CHAPTER 2. CERTAIN BOUNDS ON THE CLASS OF ADMISSIBLE ESTIMATORS IN CONTINUOUS EXPONENTIAL FAMILIES; I. INTRODUCTION; II. A PRELIMINARY LEMMA; III. INADMISSIBILITY RESULTS; IV. REMARKS AND GENERALIZATIONS; ACKNOWLEDGMENT; REFERENCES; CHAPTER 3. RIDGE TYPE ESTIMATORS OF MULTINOMIAL CELL PROBABILITIESI. INTRODUCTION AND SUMMARY; II. RIDGE ESTIMATION; III. RIDGE ESTIMATORS OF p; IV. SMALL SAMPLE SITUATIONS; V. DISCUSSION; ACKNOWLEDGMENT; REFERENCES; CHAPTER 4. ASYMPTOTICALLY OPTIMAL PROCEDURES FOR SEQUENTIAL ADAPTIVE SELECTION OF THE BEST OF SEVERAL NORMAL MEANS; 1. INTRODUCTION; II. ELIMINATION PROCEDURES WITH VECTOR AT A TIME SAMPLING; III. ELIMINATION PROCEDURES WITH ADAPTIVE SAMPLING; REFERENCES; CHAPTER 5. MODEL ROBUST CONFIDENCE INTERVALS II; I. INTRODUCTION; II. CONFIDENCE INTERVAL; III. CONFIDENCE BANDS; REFERENCES; CHAPTER 6. ADAPTIVE DESIGN AND THE MULTIPERIOD CONTROL PROBLEMI. INTRODUCTION AND SUMMARY; II. BAYES SOLUTION TO THE MULTIPERIOD CONTROL PROBLEM IN THE CASE OF KNOWN β; REFERENCES; CHAPTER 7. ON THE RISK OF BAYES ESTIMATES; I. INTRODUCTION; II. MAIN ASSUMPTIONS AND GENERAL INEQUALITIES; III. TESTS BETWEEN HELLINGER BALLS; IV. BOUNDS ON BAYES RISKS; V. COMPARISON WITH OTHER ESTIMATES; REFERENCES; CHAPTER 8. THE MINIMAL· COMPLETE CLASS OF PROCEDURES FOR COMBINING INDEPENDENT NONCENTRAL F-TESTS; I. INTRODUCTION; II. COMPLETE CLASS RESULTS; III. THE CONSTANT r(v, μ); IV. PRELIMINARIES FOR THE NONPARAMETRIC TESTSV. INVERSE NORMAL PROCEDURE (1.10); VI. INVERSE LOGISTIC PROCEDURE (1.11); VII. SUMS OF pi 's (1.12); VIII. FISHER'S PARAMETRIC TEST (1. 3); IX. THE TEST (1.14); APPENDIX: COMPUTATIONS; REFERENCES; CHAPTER 9. RIDGE ESTIMATORS AS CONSTRAINED GENERALIZED LEAST SQUARES; I. INTRODUCTION; II. CONVEXITY OF THE GENERALIZED SUM OF SQUARES AND CONCAVITY OF THE CONSTRAINT; III. CONSTRAINED OPTIMIZATION; IV. CONCLUDING REMARKS; ACKNOWLEDGEMENT; REFERENCES; CHAPTER 10. BOUNDS FOR A K-FOLD INTEGRAL FOR LOCATION AND SCALE PARAMETER MODELS WITH APPLICATIONS TO STATISTICAL RANKING AND SELECTION PROBLEMSI. INTRODUCTION; II. THE MAIN BOUNDS; III. APPROXIMATIONS; IV. LIMITING DISTRIBUTION OF THE ESTIMATOR OF THE PCS FOR THE LOCATION PARAMETER MODEL; V. BOUNDS ON THE PROBABILITY FUNCTION OF A CORRECT COMPLETE RANKING; APPENDIX TO SECTION 3; REFERENCES; CHAPTER 11. THE ASYMPTOTIC DISTRIBUTION THEORY OF ONE SAMPLE SIGNED RANK STATISTIC; I. INTRODUCTION; II. PRELIMINARIES; III. THE ASYMPTOTIC NORMALITY OF SN+; IV. THE RATE OF CONVERGENCE; ACKNOWLEDGMENT; REFERENCES
• Sommario/riassunto: Statistical Decision Theory and Related Topics III

Shaping space : exploring polyhedra in nature, art, and the geometrical imagination / / edited by Marjorie Senechal ; with George Fleck and Stan Sherer

• Record Nr.: UNINA9910437868403321
• Pubbl/distr/stampa: New York, : Springer, 2012
• ISBN: 0-387-92714-X
• Edizione: [1st ed. 2013.]
• Descrizione fisica: 1 online resource (341 p.)
• Altri autori (Persone): FleckGeorge; SenechalMarjorie; ShererStan
• Disciplina: 516.156
• Soggetti: Polyhedra; Shapes
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preface -- I First Steps.-1 Introduction to the Polyhedron Kingdom. Marjorie Senechal- 2 Six Recipes for Making Polyhedra. Marion Walter; Jean Pedersen; MagnusWenninger; Doris Schattschneider; Arthur Loeb; and Eric Demaine, Martin Demaine and Vi Hart -- 3 Regular and Semiregular Polyhedra. H. S. M. Coxeter -- 4 Milestones in the History of Polyhedra. Joseph Malkevitch -- 5 Polyhedra: Surfaces or Solids? Arthur Loeb -- 6 Dürer's Problem. Joseph O'Rourke -- II Polyhedra in Nature and Art -- 7 Exploring the Polyhedron Kingdom. Marjorie Senechal -- 8 Spatial Perception and Creativity. Janos Baracs -- 9 Goldberg Polyhedra. George Hart -- 10 Polyhedra and Crystal Structures. Chung Chieh -- 11 Polyhedral Molecular Geometries. Magdolna Hargittai and Istvan Hargittai -- 12 Form, Function, and Functioning. George Fleck -- III Polyhedra in the Geometrical Imagination -- 13 The Polyhedron Kingdom Tomorrow. Marjorie Senechal -- 14 Paneled and Molecular Polyhedra: How Stable Are They? Ileana Streinu -- 15 Duality of Polyhedra. Banko Grünbaum and G. C. Shephard -- 16 Combinatorial Prototiles. Egon Schulte -- 17 Polyhedra Analogues of the Platonic Solids. Jörg M. Wills -- 18 Convex Polyhedra, Dirichlet Tessellations, and Spider Webs. Walter Whiteley with Peter Ash, Ethan Bolker, and Henry Crapo -- 19 Uniform Polyhedra from ; Diophantine Equations. Barry Monson -- 20 Torus Decompositions of Regular Polytopes in 4-space. Thomas F. Banchoff -- 21 Tensegrities and Global Rigidity. Robert Connelly -- 22 Ten Problems in Geometry. Günter Ziegler and Moritz Schmitt -- Notes and References -- Sources, Acknowledgments, and Contributors -- Index.
• Sommario/riassunto: Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space—Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most fascinating branches of mathematics. Some of the world’s leading geometers present a treasury of ideas, history, and culture to make the beauty of polyhedra accessible to students, teachers, polyhedra hobbyists, and professionals such as architects and designers, painters and sculptors, biologists and chemists, crystallographers, physicists and earth scientists, engineers and model builders, mathematicians and computer scientists. The creative chapters by more than 25 authors explore almost every imaginable side of polyhedra. From the beauty of natural forms to the monumental constructions made by man, there is something to fascinate every reader. The book is dedicated to the memory of the legendary geometer H. S. M. Coxeter and the multifaceted design scientist Arthur L. Loeb. Contributing Authors: P. Ash, T. F. Banchoff, J. Baracs, E. Bolker, C. Chieh, R. Connelly, H.S.M. Coxeter, H. Crapo, E. Demaine, M. Demaine, G. Fleck, B. Grünbaum, I. Hargittai, M. Hargittai, G. Hart, V. Hart, A. Loeb, J. Malkevitch, B. Monson, J. O'Rourke, J. Pedersen, D. Schattschneider, M. Schmitt, E. Schulte, M. Senechal, G.C. Shephard, I. Streinu, M. Walter, M. Wenninger, W. Whiteley, J. M. Wills, and G. M. Ziegler.