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Model stochastycznej zależności liczby szkód i wartości pojedynczej szkody

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  • Joanna Sawicka

    (Uniwersytet Warszawski)

Abstract

W literaturze dotyczącej metody zaufania (ang. credibility method) oraz wyceny składki na podstawie historii szkodowej ubezpieczonego (ang. experience rating) rozpatruje się zazwyczaj modele stochastycznej niezależności liczby szkód i wartości pojedynczej szkody. W niniejszym artykule rozważony zostanie natomiast model stochastycznej zależności liczby szkód i wartości pojedynczej szkody w populacji ubezpieczonych jednorodnych pod względem charakterystyk obserwowalnych. W artykule obliczona zostanie składka zaufania dla łącznej wartości szkód na podstawie liczby szkód, a także zaproponowana zostanie regresja pomocnicza pozwalająca na przetestowanie w prosty sposób, czy parametry ryzyka rozkładów liczby szkód i wartości pojedynczej szkody są stochastycznie zależne. Rozpatrzone zostaną ponadto przykładowe modele stochastycznej zależności liczby szkód i wartości pojedynczej szkody, a także uzyskane zostaną dla nich wielkości składek zaufania i teoretyczne wartości parametrów w regresji pomocniczej.

Suggested Citation

  • Joanna Sawicka, 2013. "Model stochastycznej zależności liczby szkód i wartości pojedynczej szkody," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 31, pages 157-183.
    • Handle: RePEc:sgh:annals:i:31:y:2013:p:157-183
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    References listed on IDEAS

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