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Front Cover; Game Theory and Applications; Copyright Page; Table of Contents; Contributors; Preface; Chapter 1. Refinement of Nash Equilibrium: The Main Ideas; 1. INTRODUCTION; 2. BACKWARD INDUCTION AND FORWARD INDUCTION; 3. INFORMAL APPLICATIONS; 4. THE PROBLEM OF INCONSISTENCY; 5. THE EXISTENCE THEOREM: VERSION I; 6. FORMAL APPLICATIONS; 7. CONSISTENCY OF BELIEFS; 8. ADMISSIBILITY; 9. RESTRICTIONS ON OUT-OF-EQUILIBRIUM BELIEFS; 10. ALTERNATIVE VIEWS OF ""IRRELEVANT ALTERNATIVES""; 11. DEDUCTIONS BEYOND IIA; 12. CONCLUDING REMARKS; ACKNOWLEDGMENTS; APPENDIX A; APPENDIX B: PROOF OF THEOREM 3.

Getting started -- PCA with more than two variables -- Scaling of data -- Inferential procedures -- Putting it all together -- hearing loss I -- Operations with group data -- Vector interpretation I: simplifications and inferential techniques -- Vector interpretation II: rotation -- A case history-hearing loss II -- Singular value decomposition: multidimensional scaling I -- Distance models: multidimensional scaling II -- Linear models I: regression; PCA of predictor Variables -- Linear models II: analysis of variance; PCA of response variables -- Other applications of PCA -- Flatland: special procedures for two dimensions -- Odds and ends -- What is factor analysis anyhow? -- Other competitors.

Applied Regression Including Computing and Graphics; Contents; Preface; PART I INTRODUCTION; 1 Looking Forward and Back; 2 Introduction to Regression; 3 Introduction to Smoothing; 4 Bivariate Distributions; 5 Two-Dimensional Plots; PART II. TOOLS; 6 Simple Linear Regression; 7 Introduction to Multiple Linear Regression; 8 Three-Dimensional Plots; 9 Weights and Lack-of-Fit; 10 Understanding Coefficients; 11 Relating Mean Functions; 12 Factors and Interactions; 13 Response Transformations; 14 Diagnostics I: Curvature and Nonconstant Variance; 15 Diagnostics II: Influence and Outliers.

This book contains 30 selected, refereed papers from an in- ternational conference on bootstrapping and related techni- ques held in Trier 1990. Thepurpose of the book is to in- form about recent research in the area of bootstrap, jack- knife and Monte Carlo Tests. Addressing the novice and the expert it covers as well theoretical as practical aspects of these statistical techniques. Potential users in different disciplines as biometry, epidemiology, computer science, economics and sociology but also theoretical researchers s- hould consult the book to be informed on the state of the art in this area

Mit der Version 6.01 von SPSS für Windows steht das weltweit verbreitetste und mächtige Datenanalysesystem mit zahlreichen Erweiterungen und Verbesserungen nun auch unter einer deutschen Windows-Oberfläche zur Verfügung. Die Autoren, die in Lehre und Forschung langjährige Erfahrungen mit SPSS haben, bieten dem Anfänger eine Einführung und dem erfahrenen SPSS-Anwender eine umfassende Behandlung des Basissystems von SPSS für Windows 6.01. Alle Anwendungen werden ausführlich mit Beispielen aus der Praxis dargestellt. Dabei werden auch die statistischen Methoden und Verfahren mit ihren Anwendungsvoraussetzungen behandelt. Im Anhang aufgeführte Daten ermöglichen es, die meisten Anwendungen am PC nachzuvollziehen

Dieses Lehrbuch gibt einen umfassenden Überblick über Methoden der deskriptiven Statistik, die durch einige Verfahren der explorativen Datenanalyse ergänzt wurden. Die zahlreichen statistischen Möglichkeiten zur Quantifizierung empirischer Phänomene werden problemorientiert dargestellt, wobei ihre Entwicklung schrittweise erfolgt, so daß Notwendigkeit und Nutzen der Vorgehensweise deutlich hervortreten. Dadurch soll ein fundiertes Verständnis für statistische Methoden geweckt werden. Dieses wird durch repräsentative Beispiele unterstützt. Übungsaufgaben mit Lösungen ergänzen den Text

Explains how Hilbert space techniques cross the boundaries into the foundations of probability and statistics. Focuses on the theory of martingales stochastic integration, interpolation and density estimation. Includes a copious amount of problems and examples.

The subject of this book is the incorporation and integration of mathematical and statistical techniques and information science topics into the field of classification, data analysis, and knowledge organization. Readers will find survey papers as well as research papers and reports on newest results. The papers are a combination of theoretical issues and applications in special fields: Spatial Data Analysis, Economics, Medicine, Biology, and Linguistics

This book describes highly applicable mathematics without using calculus or limits in general. The study agrees with the opinion that the traditional calculus/analysis is not necessarily the only proper grounding for academics who wish to apply mathematics. The choice of topics is based on a desire to present those facets of mathematics which will be useful to economists and social/behavioral scientists. The volume is divided into seven chapters. Chapter I presents a brief review of the solution of systems of linear equations by the use of matrices. Chapter III introduces the theory of probability. The rest of the book deals with new developments in mathematics such as linear and dynamic programming, the theory of networks and the theory of games. These developments are generally recognized as the most important field in the `new mathematics' and they also have specific applications in the management sciences

I: Deskriptive Statistik -- 1. Einführung -- 2. Eindimensionale Häufigkeitsverteilungen -- 3. Zweidimensionale Häufigkeitsverteilungen -- 4. Maßzahlen für eindimensionale Verteilungen -- 5. Maßzahlen für mehrdimensionale Verteilungen -- 6. Die Lorenzkurve -- II: Wahrscheinlichkeitsrechnung -- 7. Grundbegriffe der Wahrscheinlichkeitsrechnung -- 8. Diskrete Wahrscheinlichkeitsverteilungen -- 9. Stetige Wahrscheinlichkeitsverteilungen -- 10. Parameter von Wahrscheinlichkeitsverteilungen -- III: Mathematische Statistik -- 11. Relative Häufigkeiten -- 12. Die Parameter der Normalverteilung -- 13. Verteilungsunabhängige Verfahren -- 14. Der Chi-Quadrat-Test -- 15. Regressionsrechnung -- Tabellen -- Tabelle 1: Dichte der hypergeometrischen Verteilung -- Tabelle 2: Dichte der Binomial-Verteilung -- Tabelle 3: Verteilungsfunktion der Binomial-Verteilung -- Tabelle 4: Dichte der Poisson-Verteilung -- Tabelle 5: Verteilungsfunktion der Poisson-Verteilung -- Tabelle 6: Verteilungsfunktion der Standard-Normalverteilung -- Tabelle 7: Fraktile der Student-Verteilung -- Tabelle 8: Fraktile der Chi-Quadrat-Verteilung -- Tabelle 9: Fraktile der F-Verteilung -- Nomogramm zur Bestimmung von Vertrauensschranken für den Anteil p in der Grundgesamtheit -- Literatur.

AbstractThere are some kinds of violent conflicts between factions in which one generation of belligerents trains a successive generation to continue and/ or enlarge the scale of conflict in an arena where the hostilities are internecine A model is developed of the devolution of internecine conflict using the lexicon of game theory and the simple mathematics of probability Assumptions pertaining to the behavior and attitudes of factions are transcribed into mathematics to formulate a theory of conflict resolution The theory is general enough to be applied to the struggles in the Middle East as well as to warfare among youth gangs The chief proposition to emerge from the analysis demonstrates how the statistical incidence of aggressive and peaceable factions varies over time The time path has the characteristics of a stochastic process with estimable parameters

Transform methods, together with the fast Fourier transform algorithm, can be used to compute various quantities of interest in risk theory and insurance mathematics. These include the total claim size distribution at a fixed time, the mean and variance of the claim size process as a function of time in the Sparre‐Andersen model, and the probability of ruin. The associated discretization error can be reduced by applying Richardson's deferred approach to the limit. A theorem is given that puts the use of this technique on a mathematical basis in the context of compound distributions.