Premaster EMAS

A new generation of actuaries

Our premaster programme (PrEMAS) is your ticket to the EMAS and excellent career prospects. To know which requirements you need to meet for admission to the master’s programme EMAS, please contact the programme coordinator for a personal advice based on your previous education. This study advice is free of charge and without any obligations.

 

You need to have a (quantitative) bachelor’s degree to be admitted in our premaster programme. Your personal programme will be composed of one or more modules of the following six subjects and in some cases students can enter the EMAS directly:

 

  1. Mathematical methods for actuaries
  2. Quantitative & Corporate Finance
  3. Probability theory and statistics for actuaries
  4. Econometrics and Academic Skills
  5. Actuarial Science
  6. Macro- & Microeconomics

 

Lectures in the study year 2021-2022 take place on Mondays (afternoon & evening), except for PrEMAS 4 (Tuesday evening) and start on Monday 30 August (PrEMAS 6) and Tuesday 31 August for PrEMAS 1. The remaining lectures of PrEMAS 1 are on Mondays.

 

More information

 

or contact our programme coordinator Leandra Pennartz (030-6866190). 

 

Covid-19 policy: more information (in Dutch)

 

PrEMAS 3 - Probability theory and statistics for actuaries

Module description

The module aims at introducing students to fundamental notions of probability theory and statistics. Probability and statistics are important practical tools in the actuary’s daily work. This module covers their principles, such as: sample spaces, probability, independence, distributions, expectation and conditional expectation, moment generating functions, limit theorems, point estimation, resampling methods, confidence intervals, hypothesis testing, analysis of variance, Bayesian inference, and others. The student will get hands-on experience with solution of a number of standard probabilistic and statistical tasks. Relevant methods will be illustrated using the statistical software package R.

 

Entry requirements

It is strongly advised that students have finished the module PrEMAS 1: Mathematical Methods for Actuaries (or equivalent) before starting this course.

 

Learning goals

The module consists of two parts. In the probability theory part, the student

 

  1. will be able to define probability spaces, events and probability;

  2. will learn the notions of independence and conditional probability;

  3. will be able to perform elementary computations with probabilities and conditional probabilities;

  4. will learn the concepts of a random variable, distribution, density and quantile functions, and will be able to compute moments of a number of standard distributions;

  5. will learn the notion of independence of random variables and various properties of conditional expectation;

  6. will learn the concept of moment generating functions, will be able to compute them for a number of standard probability distributions, and will learn their applications and uses;

  7. will learn a number of classical probability inequalities, like Chebyshev and Hoeffding, and their applications;

  8. will learn convergence notions used in probability theory and several classical limit theorems, and will be able to apply them in various contexts.

     

    In the statistics part, the student
     

  9. will learn about statistical models, and fundamental issues addressed by statistical inference (estimation, testing, uncertainty quantification);

  10. will learn the notion of the empirical distribution function and its applications in estimation of statistical functionals;

  11. will learn about and will be able to apply resampling methods (bootstrap and jackknife) to various statistical problems;

  12. will learn about fundamentals of parametric inference, classical inference techniques like the method of moments and the maximum likelihood, the delta method, and will be able to carry out estimation tasks in a range of statistical models;

  13. will learn about several classical statistical tests and will be able to apply them in various settings;

  14. will learn about and will be able to apply the principles of linear regression analysis;

  15. will learn about principles of the Bayesian inference and perform Bayesian analysis for a range of statistical models.

 

Literature

Compulsory literature:

  • Larry Wasserman, All of Statistics: A Concise Course in Statistical Inference. ISBN 978-0-387-40272-7

 

Students who have access to a university library probably can obtain this book as a pdf. Also, they can order a so-called MyCopy for €24.

 

 

Important to know

  • The cost of the module are €3075.
  • Lectures start on Monday 10 January 2022 from 14.30 - 17.30.
  • Exam is planned on 2 May 2022 at 9.30 am and the resit on 4 July 2022. These dates are preliminary.

 

Teacher

Shota Gugushvili

 

PrEMAS 3 Probability Theory and Statistics

CV

 

 

 

Dr Shota Gugushvili (1980) promoveerde aan de Universiteit van Amsterdam op een onderwerp uit de statistiek. Sindsdien was hij als postdoc en universitair docent werkzaam aan de universiteiten in Eindhoven, Amsterdam en Leiden. Hij is auteur van een groot aantal wetenschappelijke publicaties in internationale statistische tijdschriften. Zijn onderzoeksactiviteiten kennen fundamentele alsmede praktische kanten met toepassingen uit o.a. de financiële wiskunde en verzekering. Tevens is hij medeorganisator van meerdere grootschalige internationale congressen en workshops.

PrEMAS 3 - Probability theory and statistics for actuaries

Kosten module inclusief examen€ 3075
Kosten herexamen€ 200
Alle kosten zijn inclusief modulekosten, weblectures en toegang tot de digitale leeromgeving en het examen. De kosten zijn exclusief het aan te schaffen lesmateriaal, zie hiervoor het tabblad lesstof.

Voor een examen of herexamen dient u zich apart in te schrijven.

Deze prijzen gelden voor het studiejaar 2021-2022 en zijn onder voorbehoud van wijzigingen.

Op deze kosten zijn de Algemene Voorwaarden van het Actuarieel Instituut van toepassing.

Literature

Compulsory literature:

Larry Wasserman, All of Statistics: A Concise Course in Statistical Inference. ISBN 978-0-387-40272-7

 

Students who have access to a university library probably can obtain this book as a pdf. Also, they can order a so-called MyCopy for €24.

Lesrooster
titellocatiedatum
PrEMAS 3 Probability theory and statistics for actuaries10-01-2022

Examenrooster
titellocatiedatum
Examen PrEMAS 3 Probability theory and statistics for actuariesJohan de Witt huis (Utrecht)09-05-2022
HERExamen PrEMAS 3 Probability theory and statistics for actuariesJohan de Witt huis (Utrecht)04-07-2022