Subjects

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Demography - NMFP462

Title:	Demografie
Guaranteed by:	Department of Probability and Mathematical Statistics (32-KPMS)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Additional information:	https://dl1.cuni.cz/course/view.php?id=9436

Guarantor:	RNDr. Lucie Mazurová, Ph.D.
Class:	M Mgr. FPM M Mgr. FPM > Volitelné
Classification:	Mathematics > Financial and Insurance Math.
Incompatibility :	NMFM461
Interchangeability :	NMFM461
Is incompatible with:	NMFM461
Is interchangeable with:	NMFM461

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Annotation -

Last update: doc. RNDr. Martin Branda, Ph.D. (13.12.2020)

Population theory. Stationary and stable population. Model of a random lifetime. Mortality rate. Construction of life tables. Dynamic mortality modeling.

Aim of the course -

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.

Literature -

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.

Teaching methods -

Last update: RNDr. Jitka Zichová, Dr. (01.06.2022)

Lecture.

Syllabus -

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.

Entry requirements - Czech

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.