LOGICAL BASIS FOR FI DUCIAL PROBABILITIES THEORY: INERTNESS PRINCIPLE
Table of contents
Share
QR
Metrics
LOGICAL BASIS FOR FI DUCIAL PROBABILITIES THEORY: INERTNESS PRINCIPLE
Annotation
PII
S042473880000616-6-1
Publication type
Article
Status
Published
Pages
80-93
Abstract

Invariant theory of fi ducial probabilities is based on Fishers heuristic inversity idea. Search for foundation of this idea is an actual problem until today. Authors formulate logically clear inertness principle: random values which are free a priory must also to be free a posteriory. It is shown that this principle may be accepted to the logic basis for fi ducial theory as a whole.

Keywords
invariant families of distribution, free random values, fi ducial probabilities, inertness principle
Date of publication
01.07.2011
Number of purchasers
1
Views
845
Readers community rating
0.0 (0 votes)
Cite   Download pdf

References



Additional sources and materials



Anglo-russkij slovar' (1977) / Pod red. V.K. Myullera. M.: Russkij yazyk.
Belen'kij V.Z. (1990): Svyaz' fidutsial'nykh veroyatnostej s printsipom inertnosti svobodnykh sluchajnykh velichin. V sbornike dokladov nauchnogo seminara TsEhMI RAN "Mnogomernyj statisticheskij analiz i veroyatnostnoe modelirovanie real'nykh protsessov". M.: Nauka.
Vejl' A. (1950): Integrirovanie v topologicheskikh gruppakh i ego primeneniya. M.: IL
Gnedenko B.V. (1965): Kurs teorii veroyatnostej. M.: Nauka.
Gnedenko B.V. (2005): Kurs teorii veroyatnostej. M.: Izd-vo MGU, seriya Klassicheskij universitetskij uchebnik.
De Groot M. (1974): Optimal'nye statisticheskie resheniya. M.: Mir.
Zaks Sh. (1975): Teoriya statisticheskikh vyvodov. M.: Mir
Klimov G.P. (1973): Invariantnye vyvody v statistike. M.: Izd-vo MGU.
Klimov G.P. (1983): Teoriya veroyatnostej i matematicheskaya statistika. M.: Izd-vo MGU
Klimov G.P., Kuz'min A.D. (1975): Invariantnye otsenki // Teoriya veroyatnostej i ee primeneniya. T. XX. Vyp. 2.
Kolmogorov A.N. (1942): Opredelenie tsentra rasseivaniya i mery tochnosti po ogranichennomu chislu nablyudenij // Izv. AN SSSR. Ser. Matematika. T. 6. № 1. S. 3-32.
Leman Eh. (1979): Proverka statisticheskikh gipotez. M.: Nauka.
Feller V. (1967): Vvedenie v teoriyu veroyatnostej i ee prilozheniya. T. 2. M.: Mir
Shiryaev A.N. (2007): Veroyatnost' - 1. M.: MTsNMO
Barnard G.A. (1963): Some Logical Aspects of the Fiducial Argument // J. of the Royal Statistical Society. Series B (Statistical Methodology). Vol. 25. № 1. P.111-114.
Basu D. (1955): On Statistics Independent of a Complete Suffi cient Statistic // Sankhaya. Vol. 15. P. 377-380.
Basu D. (1958): On Statistics Independent of a Complete Suffi cient Statistic // Sankhaya. Vol. 20. P. 223-226
Dempster A.P. (1963): On Direct Probabilities // J. of the Royal Statistical Society. Series B (Statistical Methodology). Vol. 25. № 1. P. 100-110
Fisher R.A. (1933): The Concepts of Inverse Probability and Fiducial Probability Referring to Unknown Parameters // Proceedings of the Royal Society. London. A139. P. 343-348.
Fisher R.A. (1935): The Fiducial Argument in Statistical Inference // Annals of Eugenics. Vol. 6. P. 391-398
Fraser D.A.S. (1961): The Fiducial Method and Invariance // Biometrica. Vol. 48. P. 261-280.
Hampel F. (2003): The Proper Fiducial Argumet // Research Report of Seminar for Statistik. CH-8092. Zrichf. № 114. February
Healy M.J.R. (1963): Fiducial Limits for a Variance Component // J. of the Royal Statistical Society. Series B (Statistical Methodology). Vol. 25. № 1. P.128-130
Heike H.D., Tarcolea C., Demetrescu M. et al. (2003): Fiducial Inference for Discrete and Continuous Distributions. In Proceedings of 2-nd International Colloquium of MENP. Proccedings. Vol. 8. P. 69-80. Geometry Balkan Press.
Hora R.B., Bueler R.J. (1965): Fiducial Theory and Invariant Estimation // The Annals of Math. Statistics. Vol. 37. P. 643-656.
Kyburg H.E. (1983): Epistemology and Inference. Minneapolis: Univ. of Minnesota
Neyman J. (1934): On the Two Different Aspects of the Representative Method: the Method of Stratifi ed Sampling and the Method of Purposive Selection // J. of the Royal Statistical Society. Vol. 97. P. 558
Williams E.J. (1963): A Comparison of the Direct an Fiducial Arguments in the Estimation of a Parameter // J. of the Royal Statistical Society. Series B (Statistical Methodology). Vol. 25. № 1. P. 95-99.

Comments

No posts found

Write a review
Translate