The balanced credibility estimators with correlation risk and inflation factor

The balanced credibility estimators with correlation risk and inflation factor In classical credibility theory, claims are assumed to be independent over risks and the premiums are derived under squared loss functions. However, in many practical situations, the assumptions may be violated in some situations. Hence, this paper investigates the credibility estimators under balanced loss function with equal dependence structure among the individual risks and inflation factor. To be specific, the inhomogeneous and homogeneous credibility estimators are derived for Bühlmann–Straub credibility model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Statistical Papers Springer Journals

The balanced credibility estimators with correlation risk and inflation factor

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2015 by Springer-Verlag Berlin Heidelberg
Subject
Statistics; Statistics for Business/Economics/Mathematical Finance/Insurance; Probability Theory and Stochastic Processes; Economic Theory/Quantitative Economics/Mathematical Methods; Operations Research/Decision Theory
ISSN
0932-5026
eISSN
1613-9798
D.O.I.
10.1007/s00362-015-0719-6
Publisher site
See Article on Publisher Site

Abstract

In classical credibility theory, claims are assumed to be independent over risks and the premiums are derived under squared loss functions. However, in many practical situations, the assumptions may be violated in some situations. Hence, this paper investigates the credibility estimators under balanced loss function with equal dependence structure among the individual risks and inflation factor. To be specific, the inhomogeneous and homogeneous credibility estimators are derived for Bühlmann–Straub credibility model.

Journal

Statistical PapersSpringer Journals

Published: Oct 17, 2015

References

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