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Mathematical Statistics
In the middle of the last century the development of mathematical statistics underwent an enduring change, due to the use of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, as a meaningful concept of optimality (based on regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic ...
Carl Adam Petri
The book presents the life and works of one of Germany's most famous computer scientists, Carl Adam Petri. It is written in a vivid and entertaining manner, providing an in-depth discussion of the background behind Petri's best-known contribution to computer science, the Petri net. In this way the book can be read as a first introduction to nets, but it also covers the theoretical, physical and philosophical foundations behind nets, thus facilitating a comprehensive understanding of the wider range of Petri's works. The book is intended for readers with a previous knowledge in computer science, as well as for “interested non-professionals”, who want to get to know a remarkable personality of contemporary science.
Integration and Modern Analysis
This textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields. There are comprehensive treatments of the role of absolute continuity, the evolution of the Riesz representation theorem to Radon measures and distribution theory, weak convergence of measures and the Dieudonné–Grothendieck theorem, modern differentiation theory, fractals and self-similarity, rearrangements and maximal functions, and surface and Hausdorff measures. There are hundreds of illuminating exercises, and extensive, focused appendices on functional and Fourier analysis. The presentation is ideal for the classroom, self-study, or professional reference.
Decision Theory
What Is Decision Theory The theory of making judgments based on assigning probabilities to various aspects and assigning numerical implications to the conclusion is the subject of decision theory, which is a part of applied probability theory and analytic philosophy. Decision theory is concerned with the theory of making decisions. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Decision theory Chapter 2: Bayesian probability Chapter 3: Utility Chapter 4: Rationality Chapter 5: Bounded rationality Chapter 6: Prospect theory Chapter 7: Expected utility hypothesis Chapter 8: Subjective expected utility Chapter 9: Decision analysis Chapter 10: Von Neuma...
Wissenschaft und Zukunft
Aus dem Inhalt: Reinder J. van Duinen, Science and the Future James W. Vaupel, Demographic Imbalance John F. B. Mitchell, Detection and Prediction of Anthropogenic Climate Change Winfried von Urff, Ernahrung fur die Welt von morgen Reinhard Margreiter, Homo faber- homo ludens Gert G. Wagner, Vollbeschaftigung aus der Sicht der Volkswirtschaftslehre Guy Kirsch, Arbeit und Civil Society Nebojsa Nakicenovic, Long-Term Energy Perspectives and Economic Development Vincenz Timmermann, Political Rights and Economic Liberties Herbert C. Kelman, International Conflict Resolution
Mathematical Statistics
This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration...
