On survival assumptions between integer ages in the theory of competing risks
제목
On survival assumptions between integer ages in the theory of competing risks
저자
Baek, HyeYoun
; Bangwon Ko
; Hangsuck Lee
키워드
Absolute decrement rates
; Common distribution of decrements
; Multiple decrement probabilities
; Proportional forces of decrement
발행연도
2016-12-31
발행기관
한국통계학회
인용정보
Journal of the Korean Statistical Society, vol. 45, no. 4, pp. 633 - 646
초록
Calculating survival probabilities based on a multiple decrement life table often requires additional information at arbitrary non-integer ages or conversion formula between multiple decrement probabilities and absolute decrement rates. However, due to the discrete characteristic of the table, it is necessary to impose a certain distributional assumption about the decrements between integer ages such as the uniform distribution of decrements (UDD) or the constant forces (CF) of decrement. In this paper, inspired by the fractional independence (FI) assumption in Willmot (1997), we intend to generalize the commonly used fractional age assumptions and investigate their relationships. In particular, we are interested in relaxing the assumptions while inheriting the same conversion formula from the UDD or the CF assumption. Numerical examples show that our generalization facilitates the investigation of conversion errors caused by incorrectly using the formula when the fractional age assumption is misspecified.
