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Truth, possibility, and probability ...
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Chuaqui, R.
Truth, possibility, and probability = new logical foundations of probability and statistical inference /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Truth, possibility, and probability/ Rolando Chuaqui.
Reminder of title:
new logical foundations of probability and statistical inference /
Author:
Chuaqui, R.
Published:
Amsterdam ;North-Holland ; : 1991.,
Description:
1 online resource (xvii, 484 p.) :ill. :
Subject:
Probabilities. -
Online resource:
http://www.sciencedirect.com/science/book/9780444888402
ISBN:
9780444888402
Truth, possibility, and probability = new logical foundations of probability and statistical inference /
Chuaqui, R.
Truth, possibility, and probability
new 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:
527847
Probabilities.
Index Terms--Genre/Form:
554714
Electronic books.
LC Class. No.: QA273 / .C574 1991eb
Dewey Class. No.: 519.2
Truth, possibility, and probability = new logical foundations of probability and statistical inference /
LDR
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Truth, possibility, and probability
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[electronic resource] :
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new logical foundations of probability and statistical inference /
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Rolando Chuaqui.
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Amsterdam ;
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New York :
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North-Holland ;
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New York, N.Y., U.S.A. :
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Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
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1991.
300
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1 online resource (xvii, 484 p.) :
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ill.
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1
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North-Holland mathematics studies ;
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166
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Includes bibliographical references (p. 469-473) and index.
520
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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
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Description based on print version record.
650
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Probabilities.
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527847
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Mathematical statistics.
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Probabilit�es.
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Statistique math�ematique.
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Statistiek.
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North-Holland mathematics studies ;
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ScienceDirect
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http://www.sciencedirect.com/science/book/9780444888402
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TEF
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