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Journals / İstatistikçiler Dergisi:İstatistik ve Aktüerya / 2026 / Cilt: 13 Sayı: 1

Effect of Turkish mortality developments on the expected lifetime and annuity using entropy measure

Türkiye’deki ölümlülük değişimlerinin anüite fiyatları üzerindeki etkisinin entropi ölçüsü ile analizi

Bükre Yıldırım Külekci(MIDDLE EAST TECHNICAL UNIVERSITY, INSTITUTE OF APPLIED MATHEMATICS)0000-0002-1246-9549
Murat Büyükyazıcı(HACETTEPE UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF ACTUARIAL SCIENCES)0000-0002-8622-4659
Pages
30–47
Publication Date
2020-06-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Entropy measures for the Turkish life table are calculated for different age, year, discount factor, and gender parameters.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Over the past three centuries, there has been a steady and gradual decline in mortality rates due to a considerable process of eliminating hazards to survival, which have increased the life expectancy at birth remarkably.
📊
Key Findings & Data:The improvements in mortality rates often been underestimated by annuity and pension providers.
💡
Conclusion & Impact:Entropy measures for the Turkish life table are calculated for different age, year, discount factor, and gender parameters.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Annuite · Entropi · Beklenen yaşam süresi

Abstract

Over the past three centuries, there has been a steady and gradual decline in mortality rates due to a considerable process of eliminating hazards to survival, which have increased the life expectancy at birth remarkably. The improvements in mortality rates often been underestimated by annuity and pension providers. To measure the effect of mortality rate developments on life expectancy or annuity, many demographers use the idea of entropy. We use the entropy measure to explain the effect of any change in mortality rates on the annuity along with Gompertz's mathematical model for the force of mortality to obtain a more theoretically satisfactory conclusion. Entropy measures for the Turkish life table are calculated for different age, year, discount factor, and gender parameters.

Özet

Geçtiğimiz üç yüzyıl boyunca yaşam olasılığını etkileyen risklerin azaltılması sonucu, mortalite hızlarında beklenmedik ve daha önce görülmemiş kademeli düşüler olmuştur. Böylece doğumda beklenen yaşam süresi önemli biçimde artmıştır. Mortalite hızlarındaki bu düşüşler genellikle annuite ve emeklilik ürünleri satan kuruluşlar tarafından olduklarından az tahmin edilmişlerdir. Mortalite hızlarındaki gelişmelerin beklenen yaşam süresi ve anüite değerleri üzerindeki etkisinin doğru bir şekilde ölçülebilmesi için birçok demograf entropi kavramını kullanmaktadır. Bu etkinin ölçülmesinde entropinin Keyfitz tanımını kullanmış ayrıca entropinin parametlerini de etkilerini görebilmek için incelemişlerdir. Bu çalışmada anüite değerleri için entropi ölçütü. Türkiye hayat tabloları kullanılarak hesaplanmıştır. Daha sonra teorik olarak daha tatmin edici bir sonuç için mortalite hızı Gompertz modeli kullanılarak hesaplanmıştır.

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Cite This Article

Külekci, B. Y., Büyükyazıcı, M. (2020). Effect of Turkish mortality developments on the expected lifetime and annuity using entropy measure. İstatistikçiler Dergisi:İstatistik ve Aktüerya, Cilt: 13 Sayı: 1, 30–47. https://ajindex.com/articles/1502734

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