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CLC number: O211.6;F840.6
On-line Access: 2024-08-27
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Moments and limiting distribution of a portfolio of whole life annuity policies
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HE Wen-jiong, ZHANG Yi. Moments and limiting distribution of a portfolio of whole life annuity policies[J]. Journal of Zhejiang University Science A, 2002, 3(4): 449-454.
@article{title="Moments and limiting distribution of a portfolio of whole life annuity policies",
author="HE Wen-jiong, ZHANG Yi",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2002.0449"
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A1 - ZHANG Yi
J0 - Journal of Zhejiang University Science A
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%@ 1869-1951
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DOI - 10.1631/jzus.2002.0449
Abstract: A dual random model of a portfolio of variable amount whole life annuity is set with the mth moment of the present value of benefits, and the respective expressions of the moments under the assumption that the force of interest accumulation function is wiener process or ornstein-Uhlenbeck process. Furthermore, the limiting distribution of average cost of this portfolio is discussed with the expression of the limiting distribution under the assumption that the force of interest accumulation is an independent increment process.
[1] Beekman, J.A., Fuelling, C.P., 1990. Interest and mortality randomness in some annuities. Insurance: Mathematics & Economics 9: 185-196.
[2] Beekman, J.A., Fuelling, C.P., 1991. Extra randomness in certain annuity models. Insurance: Mathematics & Economics 10: 275-287.
[3] Beekman, J.A. & Fuelling, C.P., 1993, One approach to dual randomness in life insurance. Scand. Actuar. J.,2:173-182.
[4] De Schepper, A., De Vylder, F., Goovaerts, M., Kass, R., 1992a. Interest rand omness in annuities certain. Insurance: Mathematics & Economics 11: 271-281.
[5] De Schepper, A., Goovaerts, M., 1992b. Some further results on annuities certain with random interest. Insurance: Mathematics & Economics 11: 283-290.
[6] De Schepper, A., Goovaerts, M., Delbaen, F., 1992c. The Laplace transform of annuities certain with exponential time distribution. Insurance: Mathematics & Economics 11: 291-294.
[7] Gray Parker, 1994a. Moments of the present value of a portfolio of policies. Scandinavian Actuarial Journal 1: 53-67.
[8] Gray Parker, 1994b. Limiting distribution of the present value of a portfolio. ASTIN Bulletin 24: 47-60.
[9] Gray Parker, 1994c. Stochastic analysis of a portfolio of endowment policies. Scandinavian Actuarial Journal 2: 119-130.
[10] Gray Parker, 1994d. Two stochastic approaches for discounting actuarial functions. ASTIN Bulletin 24: 167-181.
[11] He Wenjiong, Jiang Qingrong, 1998. Increasing life interest randomness. Applied Mathematics A Journal of Chinese Universities (Ser. A) 13: 145-152.
[12] He Wenjiong, Zhang Yi, 2001. Dual random model of increasing annuity. Applied Mathematics A Journal of Chinese Universities (Ser. B) 16: 63-71.
[13] Wu Chaobiao, 1995. Some Applied Aspects of Probability and Statistics (post-doctoral report). East China Normal Univ.
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