Isbn: 9781333652968 - an unified theory of estimation, i: revised and extended, february 1960 (classic reprint) (3 risultati)

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condizione: New. Print on Demand. This book establishes a theory of estimation unifying previous formulations and providing practical computational methods. It addresses the question of selecting a good estimator from a set of admissible ones, thereby tackling a problem that has been approached through various criteria, most of which have issues of arbitrariness from an application standpoint. The author introduces a weak specification of closeness of estimators, leading to a natural partial ordering and the concepts of complete and essentially complete classes of estimators; the minimal complete class, if one exists, coincides with the admissible class. The author presents an original result, the existence of admissible confidence curve estimators, which formally include as elements confidence limits, confidence intervals, and point estimates at any level. The text elucidates the ideas with examples illustrating their use and theoretical and technical relevance for estimation theories based on different criteria and formulations. Through an innovative use of the theory of tests of one-sided hypotheses, the author characterizes admissible estimators and develops the theory of admissible point estimators. The author also discusses the relations between exact and asymptotic results and provides applications such as sequential estimators with prescribed precision in a given region. The author includes a historical overview of estimation theory, particularly the work of Laplace and Gauss, and relates the new approach to the well-known work of Neyman and Pearson on confidence regions and tests of hypotheses. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…