BAYESIAN ESTIMATES OF PROBABILITY OF INCIDENCES AND MORTALITIES OF SELECTED SERIOUS DISEASES
Abstract
Abstract. Oncological diseases are really serious, because they are already occurring in childhood and their number is growing rapidly. This problem is very dangerous not only for the European population, but also for the population all over the world. The Bayesian theory of credibility, in particular the binomial/beta model, can be appropriate method to determine the probability of incidences and mortalities, especially in cases of insurance companies. The main aim of this article is to evaluate these probabilities using the binomial/beta model and compare the advantages of Bayesian estimates to the maximum likelihood estimations based on trachea, bronchus and lung cancers in the Czech Republic and Ukraine. Data are obtained from the databases of WHO and OECD.
References
2. Jindrová, P., Kopecká, L. (2017a). Assessment of risk factors of serious diseases in OECD countries. Ve: Proceedings 11. Międzynarodowa Konferencja Naukowa im. Profesora Alexandra Zeliasa na temat „Modelowanie i prognozowanie zjawisk spoleczno-gospodarczych. Krakow: Uniwersytet Ekonomiczny w Krakowie, str. 123-132.
3. Jindrová, P., Kopecká, L. (2017b). Kvantifikace rizik pro úrazové pojištění. Scientific Papers of the University of Pardubice – Series D. Univerzita Pardubice: Fakulta ekonomicko-správní. 39(XXIV), str. 75-86.
4. Kopecká, L., Pacáková, V. (2017). Bayesian Estimation of Probability of Incidences of the Most Serious Oncological Diseases in the Czech Republic. Ve Finanční řízení podniků a finančních institucí: Sborník 11. Mezinárodní conference Finanční řízení podniků a finančních institucí. Ostrava. VŠB – Technická Univerzita Ostrava. str. 407-414.
5. Kotlebová, E. (2009). Bayesovská štatistická indukcia v ekonomických aplikáciách. Bratislava: EKONÓM.
6. OECD. (2017). OECD statistics. Dostupné z http://stats.oecd.org/.
7. Pacáková, V. (2004). Aplikovaná poistná štatistika. 3. vyd. Bratislava: IURA EDITION.
8. Pacáková, V. (2012). Bayesian Estimations in Insurance Theory and Practice. V: Advances in Mathematical and Computational Methods. Proceedings of the 14th WSEAS International Conference on Mathematical and Computational Methods in Science and Engineering (MACMESE’12), Sliema, Malta, str. 127-131.
9. Pacáková, V. (2013). Credibility models for permanently updated estimates in insurance. International Journal of Mathematical Models and Methods in Applied Sciences, 7(3), str. 333-340.
10. Pacáková, V., Jindrová, P., Zapletal, D. (2016). Comparisons of Public Health Systems of Selected Countries. V: Evropské finanční systémy 2016. Sborník 13. Mezinárodní vědecké konference. Brno: Masarykova Univerzita, str. 534-541.
11. Pacáková, V., Kotlebová, E. (2014). Bayesian Estimation of Event Probability in Accident Insurance. V: Evropské finanční systémy 2014: Sborník 11. Mezinárodní vědecké conference. Brno: Masarykova Univerzita, str. 462-468.
12. Pacáková, V. & Papoušková, M. (2016). Multidimensional Comparisons of Health Systems Functioning in OECD Countries. International Journal of Mathematical Models and Methods in Applied Sciences. 10(12), str. 388-394.
13. Šoltés, E. (2009). Modely credibility na výpočet pojistného. 1. vyd. Bratislava: EKONÓM.
14. WHO. (2018). European Health Information Gateway. Dostupné z: https://gateway.euro.who.int/en/