Mathematical Statistics
Mathematical Statistics

Author: Johann Pfanzagl

Publisher: Springer

Published: 2017-10-23

Total Pages: 321

ISBN-13: 3642310842

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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 by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory. Primarily focused on methodology, questionable proofs and neglected questions of priority, the book offers an intriguing resource for researchers in theoretical statistics, and can also serve as a textbook for advanced courses in statisticc.

Visible Numbers
Visible Numbers

Author: Miles A. Kimball

Publisher: Routledge

Published: 2017-07-05

Total Pages: 330

ISBN-13: 135153761X

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Bringing together scholars from around the world, this collection examines many of the historical developments in making data visible through charts, graphs, thematic maps, and now interactive displays. Today, we are used to seeing data portrayed in a dizzying array of graphic forms. Virtually any quantified knowledge, from social and physical science to engineering and medicine, as well as business, government, or personal activity, has been visualized. Yet the methods of making data visible are relatively new innovations, most stemming from eighteenth- and nineteenth-century innovations that arose as a logical response to a growing desire to quantify everything-from science, economics, and industry to population, health, and crime. Innovators such as Playfair, Alexander von Humboldt, Heinrich Berghaus, John Snow, Florence Nightingale, Francis Galton, and Charles Minard began to develop graphical methods to make data and their relations more visible. In the twentieth century, data design became both increasingly specialized within new and existing disciplines-science, engineering, social science, and medicine-and at the same time became further democratized, with new forms that make statistical, business, and government data more accessible to the public. At the close of the twentieth century and the beginning of the twenty-first, an explosion in interactive digital data design has exponentially increased our access to data. The contributors analyze this fascinating history through a variety of critical approaches, including visual rhetoric, visual culture, genre theory, and fully contextualized historical scholarship.