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Dergiler / Conference Proceedings of Science and Technology / 2020 / Cilt: 3 Sayı: 1

On the Asymptotic Expansions for the Expected Value and Variance of the Reinsurance Surplus Process

Veli BAYRAMOV
Afaq ABDULLAYEVA
Rovshan ALİYEV
Sayfa
207–214
Yayın Tarihi
2020-12-15
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then we give numerical examples to compare the values of mathematical expectation and variance when there is no reinsurance and when the insurer effects reinsurance.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we consider the reinsurance surplus process.
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Temel Bulgular & Veri:Depending on the type of the reinsurance we obtain formulas for the distribution functions and moments of claims in reinsurance surplus process, then using these moments we give the asymptotic results for the mathematical expectation and variance in each type of the reinsurance.
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Sonuç & Katkı:Then we give numerical examples to compare the values of mathematical expectation and variance when there is no reinsurance and when the insurer effects reinsurance.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Reinsurance · Surplus process · Asymptotic expansion

Abstract

In this paper, we consider the reinsurance surplus process. Depending on the type of the reinsurance we obtain formulas for the distribution functions and moments of claims in reinsurance surplus process, then using these moments we give the asymptotic results for the mathematical expectation and variance in each type of the reinsurance. Then we give numerical examples to compare the values of mathematical expectation and variance when there is no reinsurance and when the insurer effects reinsurance.

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Bu Makaleye Atıf Yap

BAYRAMOV, V., ABDULLAYEVA, A., ALİYEV, R. (2020). On the Asymptotic Expansions for the Expected Value and Variance of the Reinsurance Surplus Process. Conference Proceedings of Science and Technology, Cilt: 3 Sayı: 1, 207–214. https://ajindex.com/articles/984365

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