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A new uncertain insurance model with variational lower limit

Affiliation:	1. School of Economics and Management, Tongji University, Shanghai 200092, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China;1. Department of Physics, Panskura Banamali College, Panskura-721152, India;2. Department of Physics, Vidyasagar University, Midnapore-721102, India;3. Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP-201307, India;4. Department of Physics, Vidyasagar Teachers’ Training College, Midnapore-721101, India;1. Pomona College, United States;2. Claremont McKenna College, United States;1. Sorbonne Paris Cité, Université Paris Diderot, Service de Dermatologie, AP-Hp Hôpital Saint-Louis, INSERM UMR 1163, Institut Imagine, Paris, France;1. Alma Mata Working Group, London SW4 7TU, UK;2. Clinical Research Department, London School of Hygiene & Tropical Medicine, London, UK;1. Department of Economics, Dartmouth College, Hanover, NH 03755-3514, United States;2. NBER, United States;3. Department of Economics, Texas Tech University, Lubbock, TX 79409, United States;4. Department of Economics, Dartmouth College, Hanover, NH 03755-3514, United States

Abstract:	Uncertainty theory provides a new tool to deal with uncertainty. The paper employs it to propose a new uncertain insurance model with variational lower limit, and gives a ruin index and uncertainty distribution for the uncertain insurance risk process that claim process is a renewal reward process. The model extends and improves uncertain insurance model presented by Liu. Finally, it also provides examples to illustrate the effectiveness of the model.

Keywords:	Uncertainty theory Uncertain insurance model Variational lower limit Uncertain renewal reward process Insurance
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