Stochastic comparisons and optimal allocation for policy limits and deductibles. (English) Zbl 1398.60035
Summary: In this article, we discuss about the stochastic comparisons and optimal allocation for policy limits and deductibles. We order the total retained losses of a policyholder in the usual stochastic order under more general conditions of \(X_i\) (\(i=1,\ldots, n\)), based on which the optimal allocation of policy limits and deductibles are achieved in some special cases. Several results in [K. C. Cheung, Insur. Math. Econ. 38, No. 1, 167–175 (2006; Zbl 1133.91410)] and [Z. Lu and L. Meng, Insur. Math. Econ. 48, No. 3, 338–343 (2011; Zbl 1218.91087)].
MSC:
| 60E15 | Inequalities; stochastic orderings |
| 62P05 | Applications of statistics to actuarial sciences and financial mathematics |
References:
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