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General information |
Course unit name: Insurance Statistics
Course unit code: 363687
Academic year: 2025-2026
Coordinator: Miguel Angel Santolino Prieto
Department: Department of Econometrics, Statistics and Applied Economics
Credits: 6
Single program: S
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Estimated learning time |
Total number of hours 150 |
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Face-to-face and/or online activities |
60 |
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- Lecture with practical component |
Face-to-face |
45 |
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- Problem-solving class |
Face-to-face |
15 |
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Supervised project |
40 |
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Independent learning |
50 |
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Competences / Learning outcomes to be gained during study |
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To be able to use ICT in professional practice. |
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To draw up, analyse and use internal and external accounting and financial information to control management and decision-making processes. |
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To be able to make financial and business decisions, taking into account the current economic situation. |
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To use basic quantitative methods and instruments to obtain and analyse company information and its socioeconomic environment, in accordance with the characteristics of the available information. |
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Learning objectives |
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Referring to knowledge ― Know the basics of statistical analysis used in life and general insurance. Specifically, learn the statistical tools needed to analyse the design of pension systems (public and private) and the pricing of life and general insurance.
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Teaching blocks |
1. Introduction to the biometric model in the life branch
1.1. Definition and objectives
1.2. The relevance of the model in the economic and social field: pensions and life insurance
1.3. Model hypothesis
1.4. Biometric variables
1.5. Introduction to the instantaneous mortality rate
1.6. Life tables
2. Discrete probabilities of survival and death
2.1. Cohort function
2.2. Mortality function
2.3. Annual, temporary and deferred probabilities
2.4. Life expectancy at birth
2.5. Life expectancy at a certain age
3. Discrete probability distributions for groups
3.1. Probability of joint survival
3.2. Probability of dissolution and extinction of the group
3.3. Complementary probabilities
3.4. Calculation of deferrals and temporalities
3.5. Generalizations to more than two individuals
4. Modelling in the non-life branch
4.1. Random variables
4.2. Basic characteristics of the distribution
4.3. Moment-generating function
4.4. Modification of coverages
5. Modelling number of claims
5.1. Binomial distribution
5.2. Poisson distribution
5.3. Negative binomial distribution
5.4. Class (a,b,0)
6. Model estimation and selection
6.1. Estimation methods
6.2. Hypothesis testing
6.3. Model selection
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Teaching methods and general organization |
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Two types of theoretical and practical classes are taught:
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Official assessment of learning outcomes |
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Continuous assessment
Examination-based assessment The single assessment consists of solving a set of theoretical and practical exercises.
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Reading and study resources |
Check availability in Cercabib
Book
AYUSO, Mercedes; CORRALES, H.; GUILLÉN, M.; PÉREZ-MARÍN, A.M.; ROJO, J.L. Estadística Actuarial Vida. 2ª ed. Barcelona: Edicions Universitat de Barcelona, 2007
BEARD, R.E. Risk theory : the stochastic basis of insurance. 3a. ed. London: Chapman and Hall, 1990
BÜHLMANN, Hans. Mathematical methods in risk theory. Berlin: Springer, 1996
DURA, José María. Fundamentos de estadística : estadística descriptiva y modelos probabilísticos para la inferencia. Barcelona: Ariel, 1988
HOSSACK, I.B. Introducción a la estadística con aplicación a los seguros generales. Madrid: Ed. Mapfre, 2001
HOSSACK, I. B. Introductory statistics with applications in general insurance. Cambridge: Cambridge Univ. Press, 2003
KLUGMAN, Stuart A. Loss models : from data to decisions. New Jersey: Ed. Wiley, Third Edition, 2008.
LOPEZ CACHERO, Manuel. Estadística para actuarios. Madrid : MAPFRE, 1996
LÓPEZ CACHERO, Manuel. Fundamentos y métodos de estadística. Madrid: Pirámide, 1993
SARABIA, J.M., GÓMEZ, E., VÁZQUEZ-POLO, F.J. Estadística actuarial : teoría y aplicaciones. Madrid: Pearson Prentice Hall, 2007
SZABO, Fred. Actuaries’ Survival Guide. How to succeed in one of the most desirable professions. 2ª Ed. Academic Press-Elsevier, 2013