Abstract
In order to further simplify the calculation of life insurance actuarial notation on credibility space, this paper deduced the ultimate expression of life insurance actuarial notation about life distribution function and gives the value determinative conditions only by the life distribution function to determine, based on the basic properties of credibility distribution, through decomposing and discussing of every portion of the expression and seeking for the sufficient and necessary condition of judgement. Thus, the calculation of life insurance actuarial notation on credibility space is transformed from calculation of purely theoretical credibility measure to the simple arithmetic of life distribution function.
Fund Project: Soft Science Research Project of Science and Technology Department of Hebei Province of China (No.10457292).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bowers, N.L., Gerber, H.U., Hickman, J.C., Jones, D.A., Nesbitt, C.J.: Actuarial Mathematics. The Society of Actuaries, Itasca, IL (1986)
Lei, Y.: Life Insurance Actuarial Science. Beijing University Press, Beijing (1998)
Dorfman, M.Y., Adelman, S.W.: Life Insurance, 2nd edn. Dearbom Financial Publishing, Inc. (1992)
Yuan, M.Y.: Model of Life Actuarial on Credibility Space. College of Management, Hebei University, Master Thesis, China (2011)
Yuan, M.Y., Sun, D.J.: Life Distribution Function Expression of Actuarial Notation on Credibility Space. In: 2nd International Conference on Management Science and Engineering. Engineering Technology Press, Hong Kong (2011)
Liu, B., Liu, Y.K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Transactions on Fuzzy Systems. 10(4), 445–450 (2002)
Liu, B.: A survey of credibility theory. Fuzzy Optimization and Decision Making 5(4), 387–408 (2006)
Liu, B.: Uncertainty Theory, 2nd edn. Springer, Berlin (2007)
Liu, B.: Theory and Practice of Uncertain Programming. Physica, Heidelberg (2002)
Yuan, M.Y.: Basic formations of life function based on credibility measure (To be published soon)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yuan, My., Sun, Dj. (2011). The Further Decomposition of Actuarial Notation’s Expression on Credibility Space. In: Tan, H. (eds) Informatics in Control, Automation and Robotics. Lecture Notes in Electrical Engineering, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25899-2_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-25899-2_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25898-5
Online ISBN: 978-3-642-25899-2
eBook Packages: EngineeringEngineering (R0)