TY  - BOOK
AU  - Chuaqui,R.
TI  - Truth, possibility, and probability: new logical foundations of probability and statistical inference 
T2  - North-Holland mathematics studies
SN  - 9780444888402
AV  - QA273 .C574 1991eb
U1  - 519.2 22
PY  - 1991///
CY  - Amsterdam, New York, New York, N.Y., U.S.A.
PB  - North-Holland, Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
KW  - Probabilities
KW  - Mathematical statistics
KW  - Probabilit�es
KW  - Statistique math�ematique
KW  - Statistiek
KW  - gtt
KW  - Waarschijnlijkheid (statistiek)
KW  - Logica
KW  - Probabilidade (estatistica)
KW  - larpcal
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references (p. 469-473) and index
N2  - 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
UR  - http://www.sciencedirect.com/science/book/9780444888402
UR  - http://www.sciencedirect.com/science/publication?issn=03040208&volume=166
ER  -