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Mathematical Statistics - Essays on History and Methodology (Hardcover, 1st ed. 2017)
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Mathematical Statistics - Essays on History and Methodology (Hardcover, 1st ed. 2017)
Series: Perspectives in Statistics
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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.
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