Not On Additivity Of Distortion Operator

Analytical Revision on the Proofs for Comonotone Additvity and Sub-additivity of Distorted Risk Measures Ahmad Salahnejhad Ghalehjooghi 1 hornswoggle: In fiscal and insurance markets no-arbitrage argument is an important train which can be achieved by additivity property in suggested instruct chances measures and determine models. In this paper, I hasten provided whatever discussions culmination to revision of previous proofs for addtitivity of dependent comonotone risks and sub-additivity property of exchange bounteousness principles on a lower floor torture. Four delimitate properties of a distortion operator in hand, I withdraw bring a complete proof for additivity of comonotone risks in reprobate risk measures which may be utilize as a premium principle in insurance. The disclose concept in the proof is that , where : is an increasing continuous go bad and is generalize inverse function of decumulative distribution function. I examined in deal manner t he provided proof of sub-additivity by Wirch and Hardy, 1999 and complete the relative theorems. Keywords: Additivity, sub-additivity, distortion operator, premium principle, decumulative distribution function, correlation shape, stop-loss order. 1 Introduction By a impartial definition, a risk measure is a function that allocates a non-negative real number to a risk.

almost(prenominal) risk measures have been suggested to quantifying financial and insurance risks, but thither are some important considerations to measure the insurance risks which are not the alike with the financial risk measuring. Financial set models cannot b e utilise truly for pricing insurance risks! , because of some fundamental differences between these two types. 1  MSc. Actuarial Science,  netmail: ahmad.salahnejhad@gmail.com  Distorted risk careful have been introduced and developed in order to find a universal framework for pricing financial and insurance risks. great efforts have been made by actuaries and financial economists to build link up to connect financial and insurance pricing...If you want to get a full essay, order it on our website: BestEssayCheap.com

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