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The theorem of existence of the ruptures in probability scale and the basic question of insurance

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  • Harin, Alexander
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    Abstract

    The theorem of existence of the ruptures in the probability scale was proved in 2010. The theorem is used to analyze and to partially answer to the basic questions of insurance. The question is “To insure or not”. The goal of this paper is to reveal pure mathematical aspects of insurance processes and to analyze these aspects by pure mathematical methods, including application of the theorem. Its most significant result: when uncertainty increases, then taking the theorem into account may reverse insurant’s and insurer’s decisions to the opposite ones.

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    File URL: http://mpra.ub.uni-muenchen.de/34780/
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    Bibliographic Info

    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 34780.

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    Date of creation: 16 Nov 2011
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    Handle: RePEc:pra:mprapa:34780

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    Keywords: insurance; underwriting; probability; uncertainty; dispersion;

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    1. Emilio C. Venezian, 2006. "The use of spectral analysis in insurance cycle research," Journal of Risk Finance, Emerald Group Publishing, vol. 7(2), pages 177-188, March.
    2. David M. Cutler & Amy Finkelstein & Kathleen McGarry, 2008. "Preference Heterogeneity and Insurance Markets: Explaining a Puzzle of Insurance," American Economic Review, American Economic Association, vol. 98(2), pages 157-62, May.
    3. Winter, Ralph A, 1991. "Solvency Regulation and the Property-Liability "Insurance Cycle."," Economic Inquiry, Western Economic Association International, vol. 29(3), pages 458-71, July.
    4. Cutler, David & McGarry, Kathleen & Finkelstein, Amy, 2008. "Preference Heterogeneity and Insurance Markets: Explaining a Puzzle of Insurance," Scholarly Articles 2640581, Harvard University Department of Economics.
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