Quadratic fractional age assumption revisited

被引:10
作者
Hossain, Syed A. [1 ]
机构
[1] Univ Nebraska, Dept Math & Stat, Kearney, NE 68849 USA
关键词
Mortality rate; Force of mortality; Survivorship function; Fractional age assumption; FAMILY;
D O I
10.1007/s10985-010-9153-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper introduces a quadratic fractional age assumption which makes the force of mortality and survival function continuous at all ages. The necessary and sufficient condition for the assumption to be valid is derived. Important life table parameters are estimated and applications are shown using several life table data.
引用
收藏
页码:321 / 332
页数:12
相关论文
共 15 条
[1]  
Batten R. W, 1978, MORTALITY TABLE CONS
[2]  
BOWERS HL, 1997, ACTUARIAL MATH
[3]  
BRILLINGER DR, 1961, T SOC ACTUAR, V12, P116
[4]  
Broffit J.D., 1984, Transactions of the Society of Actuaries, VXXXVI, P77
[5]  
Frostig, 2002, N AM ACTUARIAL J, V6, P11
[6]   Properties of the power family of fractional age approximations [J].
Frostig, E .
INSURANCE MATHEMATICS & ECONOMICS, 2003, 33 (01) :163-171
[7]  
Greville T.N.E., 1969, Theory and Applications of Spline Functions
[8]   A family of fractional age assumptions [J].
Jones, BL ;
Mereu, JA .
INSURANCE MATHEMATICS & ECONOMICS, 2000, 27 (02) :261-276
[9]   A critique of fractional age assumptions [J].
Jones, BL ;
Mereu, JA .
INSURANCE MATHEMATICS & ECONOMICS, 2002, 30 (03) :363-370
[10]  
JONES BL, 2003, N AM ACTUAR J, V77, P87