A Method for constructing and interpreting some weighted premium principles

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<title>Method for constructing and interpreting some weighted premium principles</title>
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<namePart>Castaño-Martínez, Antonia </namePart>
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<abstract displayLabel="Summary">We present a method for constructing and interpreting weighted premium principles. The method is based on modifying the underlying risk distribution in such a way that the risk-adjusted expected value (or premium) is greater than the expected value of some conveniently chosen function of claims, which defines the insurer's perception of the risk. Under some assumptions on the function of claims, the method produces distortion premium principles. We provide several examples under different assumptions on the claim arrival process and different functions of claims, including record claims and kth record claims.</abstract>
<note type="statement of responsibility">Antonia Castaño-Martínez...[Et al.]</note>
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<title>Astin bulletin</title>
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<publisher>Belgium : ASTIN and AFIR Sections of the International Actuarial Association</publisher>
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<identifier type="issn">0515-0361</identifier>
<identifier type="local">MAP20077000420</identifier>
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<text>01/09/2020 Volumen 50 Número 3 - septiembre 2020 , p. 1037-1064</text>
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