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Imprecise Statistical Inference for Accelerated Life Testing Data: Imprecision Related to Log-Rank Test Read chapter Read first chapter

2019 | OriginalPaper | Chapter

Compatibility, Coherence and the RIP

Authors : Enrique Miranda, Marco Zaffalon

Published in: Uncertainty Modelling in Data Science

Publisher: Springer International Publishing

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Abstract

We generalise the classical result on the compatibility of marginal, possible non-disjoint, assessments in terms of the running intersection property to the imprecise case, where our beliefs are modelled in terms of sets of desirable gambles. We consider the case where we have unconditional and conditional assessments, and show that the problem can be simplified via a tree decomposition.

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previous chapter Case Study-Based Sensitivity Analysis of Scale Estimates w.r.t. the Shape of Fuzzy Data
next chapter Estimation of Classification Probabilities in Small Domains Accounting for Nonresponse Relying on Imprecise Probability
Literature
1.
Kellerer, H.: Verteilungsfunktionen mit gegebenen marginalverteilungen. Z. Wahrscheinlichkeitstheorie 3, 247–270 (1964)MathSciNetCrossRef
2.
3.
Fritz, T., Chaves, R.: Entropic inequalities and marginal problems. IEEE Trans. Inf. Theory 59(3), 803–817 (2013)MathSciNetCrossRef
4.
Beeri, C., Fagin, R., Maier, D., Yannakis, M.: On the desirability of acyclic database schemes. J. ACM 30, 479–513 (1983)MathSciNetCrossRef
5.
Deming, W., Stephan, F.: On a least square adjustment of a sampled frequency table when the expected marginal totals are known. Ann. Math. Stat. 11, 427–444 (1940)MathSciNetCrossRef
6.
Csiszár, I.: I-divergence geometry of probability distributions and minimization problems. Ann. Probab. 3(1), 146–158 (1975)MathSciNetCrossRef
7.
Augustin, T., Coolen, F., de Cooman, G., Troffaes, M. (eds.): Introduction to Imprecise Probabilities. Wiley, Hoboken (2014)MATH
8.
Studeny, M.: Marginal problem in different calculi of AI. In: Advances in Intelligent Computing - IPMU 1994, pp. 348–359. Springer, Heidelberg (1994)CrossRef
9.
Vejnarová, J.: A note on the interval-valued marginal problem and its maximum entropy solution. Kybernetika 34(1), 19–26 (1998)MathSciNetMATH
10.
Jirousek, R.: Solution of the marginal problem and decomposable distributions. Kybernetika 27(5), 403–412 (1991)MathSciNetMATH
11.
Walley, P.: Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London (1991)CrossRef
12.
13.
Miranda, E., Zaffalon, M.: Notes on desirability and conditional lower previsions. Ann. Math. Artif. Intell. 60(3–4), 251–309 (2010)MathSciNetCrossRef
14.
15.
Jensen, F., Nielsen, T.: Bayesian Networks and Decision Graphs. Springer, Heidelberg (2007)CrossRef
Metadata
Title
Compatibility, Coherence and the RIP
Authors
Enrique Miranda
Marco Zaffalon
Copyright Year
2019
Book
Uncertainty Modelling in Data Science

Print ISBN: 978-3-319-97546-7

Electronic ISBN: 978-3-319-97547-4

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-97547-4_22

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