Lian Zhibin, Yang Xiangqun. The Existence and the Structure of $r$-Truncated Annuity Distribution[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(2): 133-142.
Citation:
Lian Zhibin, Yang Xiangqun. The Existence and the Structure of $r$-Truncated Annuity Distribution[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(2): 133-142.
Lian Zhibin, Yang Xiangqun. The Existence and the Structure of $r$-Truncated Annuity Distribution[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(2): 133-142.
Citation:
Lian Zhibin, Yang Xiangqun. The Existence and the Structure of $r$-Truncated Annuity Distribution[J]. Chinese Journal of Applied Probability and Statistics, 2007, 23(2): 133-142.
The Existence and the Structure of r-Truncated Annuity Distribution
The primary objective of this paper is to define the r-truncated annuity distribution, which is a generalization of the annuity distribution in refs: 5, 6. Conditions for the existence of these distributions are given. It is proved that under certain conditions, the r-truncated annuity distribution is the mixture of an annuity distribution and a special r-truncated annuity distribution.
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