TY - JOUR
T1 - Optimal allocations of coverage limits for two independent random losses of insurance policy
AU - You, Yinping
AU - Li, Xiaohu
AU - Santanilla, Jairo
N1 - Publisher Copyright:
© 2017 Taylor & Francis Group, LLC.
PY - 2017/1/2
Y1 - 2017/1/2
N2 - This article recasts the optimal allocations of coverage limits for two independent random losses. Under some regularity conditions on the two concerned probability density functions, we build the sufficient and necessary condition for the existence of the optimal allocation of coverage limits, and derive the optimal allocation whenever they do exist. The results supplement Lu and Meng (2011, Proposition 5.2) and Hu and Wang (2014, Theorem 5.1).
AB - This article recasts the optimal allocations of coverage limits for two independent random losses. Under some regularity conditions on the two concerned probability density functions, we build the sufficient and necessary condition for the existence of the optimal allocation of coverage limits, and derive the optimal allocation whenever they do exist. The results supplement Lu and Meng (2011, Proposition 5.2) and Hu and Wang (2014, Theorem 5.1).
KW - Likelihood ratio order
KW - Majorization
KW - Stochastic order
UR - http://www.scopus.com/inward/record.url?scp=84989225402&partnerID=8YFLogxK
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U2 - 10.1080/03610926.2014.997360
DO - 10.1080/03610926.2014.997360
M3 - Article
AN - SCOPUS:84989225402
SN - 0361-0926
VL - 46
SP - 497
EP - 509
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 1
ER -