Properties of the power family of fractional age approximations

Esther Frostig

doi:10.1016/S0167-6687(03)00151-3

Properties of the power family of fractional age approximations

Esther Frostig

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We derive some properties of the power family of fractional age approximations introduced by Jones and Mereu [Insur.: Math. Econ. 27 (2000) 261; Insur.: Math. Econ. 30 (2002) 363]. The different approximations are compared with respect to stochastic ordering. We also compare the power approximations with the unknown life survival function.

Original language	English
Pages (from-to)	163-171
Number of pages	9
Journal	Insurance: Mathematics and Economics
Volume	33
Issue number	1
DOIs	https://doi.org/10.1016/S0167-6687(03)00151-3
State	Published - 8 Aug 2003

Keywords

Balducci approximation
Exponential approximation
Force of mortality
Linear approximation
Power approximation
Stochastic ordering

ASJC Scopus subject areas

Statistics and Probability
Economics and Econometrics
Statistics, Probability and Uncertainty

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10.1016/S0167-6687(03)00151-3

Cite this

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abstract = "We derive some properties of the power family of fractional age approximations introduced by Jones and Mereu [Insur.: Math. Econ. 27 (2000) 261; Insur.: Math. Econ. 30 (2002) 363]. The different approximations are compared with respect to stochastic ordering. We also compare the power approximations with the unknown life survival function.",

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AB - We derive some properties of the power family of fractional age approximations introduced by Jones and Mereu [Insur.: Math. Econ. 27 (2000) 261; Insur.: Math. Econ. 30 (2002) 363]. The different approximations are compared with respect to stochastic ordering. We also compare the power approximations with the unknown life survival function.

KW - Balducci approximation

KW - Exponential approximation

KW - Force of mortality

KW - Linear approximation

KW - Power approximation

KW - Stochastic ordering

UR - https://www.scopus.com/pages/publications/0141648382

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DO - 10.1016/S0167-6687(03)00151-3

M3 - Article

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JO - Insurance: Mathematics and Economics

JF - Insurance: Mathematics and Economics

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ER -

Properties of the power family of fractional age approximations

Abstract

Keywords

ASJC Scopus subject areas

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