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Truth, possibility, and probability[electronic resource] :new logical foundations of probability and statistical inference /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.2
書名/作者:	Truth, possibility, and probability : new logical foundations of probability and statistical inference // Rolando Chuaqui.
作者:	Chuaqui, R.
出版者:	Amsterdam ; : North-Holland ;, 1991.
面頁冊數:	1 online resource (xvii, 484 p.) : : ill.
標題:	Probabilities.
標題:	Mathematical statistics.
標題:	Probabilit�es.
標題:	Statistique math�ematique.
標題:	Statistiek.
標題:	Waarschijnlijkheid (statistiek)
標題:	Logica.
標題:	Probabilidade (estatistica)
ISBN:	9780444888402
ISBN:	0444888403
書目註:	Includes bibliographical references (p. 469-473) and index.
摘要、提要註:	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, lead 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.
電子資源:	http://www.sciencedirect.com/science/book/9780444888402

Truth, possibility, and probability[electronic resource] :new logical foundations of probability and statistical inference /
Chuaqui, R.

Truth, possibility, and probabilitynew logical foundations of probability and statistical inference /[electronic resource] :Rolando Chuaqui. - Amsterdam ;North-Holland ;1991. - 1 online resource (xvii, 484 p.) :ill. - North-Holland mathematics studies ;166. - North-Holland mathematics studies ;166..

Includes bibliographical references (p. 469-473) and index.

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, lead 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.

ISBN: 9780444888402

Source: 120331:125010Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

171876
Probabilities.
Index Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA273 / .C574 1991eb

Dewey Class. No.: 519.2

Truth, possibility, and probability[electronic resource] :new logical foundations of probability and statistical inference /
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300 $a 1 online resource (xvii, 484 p.) : $b ill.
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504 $a Includes bibliographical references (p. 469-473) and index.
520 $a 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, lead 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.
588 $a Description based on print version record.
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650 0 $a Mathematical statistics. $3 171875
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650 6 $a Statistique math�ematique. $3 445856
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