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<図書>
Truth, possibility and probability : new logical foundations of probability and statistical inference

責任表示 Rolando Chuaqui
シリーズ North-Holland mathematics studies ; 166
データ種別 図書
出版情報 Amsterdam ; New York : North-Holland
New York, N.Y., U.S.A. : Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. , 1991
本文言語 英語
大きさ xvii, 484 p. : ill. ; 25 cm
概要 Anyone involved in the philosophy of science is naturally drawn into the study of the foundations of probability. Different interpretations of probability, based on competing philosophical ideas, lea... to different statistical techniques, and frequently to mutually contradictory consequences. This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries. Mathematical models are constructed based on this interpretation, and statistical inference and decision theory are applied, including some examples in artificial intelligence, solving the main foundational problems. Nonstandard analysis is extensively developed for the construction of the models and in some of the proofs. Many nonstandard theorems are proved, some of them new, in particular, a representation theorem that asserts that any stochastic process can be approximated by a process defined over a space with equiprobable outcomes. 続きを見る

所蔵情報



理系図3F 数理独自 CHUA/10/2 1991
068222195003770


芸工図 2F 書架 410.8/N96/166 1991
072032191005528

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Chuaqui, R.
件 名 LCSH:Probabilities
LCSH:Mathematical statistics
分 類 LCC:QA273
DC20:519.2
NDC8:417
書誌ID 1000034450
ISBN 0444888403
NCID BA12755490
巻冊次 ISBN:0444888403
登録日 2009.09.10
更新日 2009.11.02

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