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Risks 2018, 6(2), 49; https://doi.org/10.3390/risks6020049

Properties of Stochastic Arrangement Increasing and Their Applications in Allocation Problems

Department of Mathematical Sciences, University of Wisconsin-Milwaukee, PO Box 413, Milwaukee, WI 53201, USA
Received: 31 March 2018 / Revised: 25 April 2018 / Accepted: 26 April 2018 / Published: 30 April 2018
(This article belongs to the Special Issue Recent Development in Actuarial Science and Related Fields)
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Abstract

There are extensive studies on the allocation problems in the field of insurance and finance. We observe that these studies, although involving different methodologies, share some inherent commonalities. In this paper, we develop a new framework for these studies with the tool of arrangement increasing functions. This framework unifies many existing studies and provides shortcuts to developing new results. View Full-Text
Keywords: arrangement increasing function; majorization; stochastic arrangement increasing; stochastic orders; optimal allocations arrangement increasing function; majorization; stochastic arrangement increasing; stochastic orders; optimal allocations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Wei, W. Properties of Stochastic Arrangement Increasing and Their Applications in Allocation Problems. Risks 2018, 6, 49.

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