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Last update: doc. RNDr. Martin Branda, Ph.D. (13.12.2020)
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Last update: RNDr. Jitka Zichová, Dr. (01.06.2022)
The aim of the subject is to inform students about practice of the quantitative analysis of characteristics of human populations, especially of the mortality, to make a survey of methods of decrement tables construction, to explain the interpretation of such tables and their association with mathematical models.
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Last update: doc. RNDr. Martin Branda, Ph.D. (13.12.2020)
R.L. Brown: Introduction to the Mathematics of Demography. ACTEX Publications, 1991.
B. Benjamin, J.H. Pollard: The Analysis of Mortality and Other Actuarial Statistics. Institute of Actuaries and the Faculty of Actuaries, 1993.
E. Pitacco, M. Denuit, S. Haberman, A. Olivieri: Modelling Longevity Dynamics for Pensions and Annuity Business. Oxford University Press, 2009. |
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Last update: RNDr. Jitka Zichová, Dr. (01.06.2022)
Lecture. |
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Last update: RNDr. Lucie Mazurová, Ph.D. (13.12.2020)
1. Models of population growth. Stationary and stable population. Lotka theorem. 2. Model of a random lifetime. 3. General and specific death rate. Probability of death. Initial and central exposed to risk. Infant mortality. Mortality at high ages. 4. Intensity of mortality. Gomperz-Makeham and other laws of mortality. 5. Graduation methods. Life table construction. 6. Select tables. Generation tables. 7. Lee-Carter model and related dynamic mortality models. |
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Last update: RNDr. Lucie Mazurová, Ph.D. (15.02.2023)
Základy analýzy funkcí jedné reálné proměnné - derivace, integrál. Základy teorie pravděpodobnosti - rozdělení náhodné veličiny, momenty. |