Unit STATISTICAL COMPUTING METHODS

Course
Finance and quantitative methods for economics
Study-unit Code
A000208
Location
PERUGIA
Curriculum
Statistical data science for finance and economics
Teacher
Francesco Bartolucci
CFU
12
Course Regulation
Coorte 2022
Offered
2023/24
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa integrata

MOD. I STATISTICAL COMPUTING

Code A000209
Location PERUGIA
CFU 6
Teacher Silvia Pandolfi
Teachers
  • Silvia Pandolfi
Hours
  • 42 ore - Silvia Pandolfi
Learning activities Affine/integrativa
Area Attività formative affini o integrative
Academic discipline SECS-S/01
Type of study-unit Obbligatorio (Required)
Language of instruction English
Contents Numerical and advanced statistical methods will be presented starting from real case studies and analyzed using the R language.
Reference texts Braun, W.J., and Murdoch, D.J. (2007). A First Course in Statistical Programming with R, Cambridge University Press.

Jones, O., Maillardet, R. and Robinson, A. (2009). Introduction to Scientific Programming and Simulation Using R, Chapman & Hall/CRC.

Rizzo, M. L. (2008). Statistical Computing with R, Chapman & Hall/CRC.

Voss, J. (2013). An Introduction to Statistical Computing, John Wiley & Sons.

McLachlan, G. and Peel. D. (2004). Finite Mixture Models, John Wiley & Sons.

Other materials made available to students attending classes.
Educational objectives After completing the course, the student will be able to implement and apply appropriate numerical methods and statistical tools to real problems with the R software.
Prerequisites The course introduces advanced topics in statistical computing. Prior knowledge of the fundamental concepts of statistics and probability will be assumed. In addition, a basic knowledge of the R software is required for laboratory activities.
Teaching methods Lectures and lab sessions with the R software.
Other information For information about services for students with disabilities and /or DSA visit the page http://www.unipg.it/disabilita-e-dsa
Learning verification modality Take-home written exams to be done in R. Final oral exam about the topics of the course.
The lab sessions are aimed at assessing the student's ability in implementing the methodologies introduced during the course. The final exam is aimed at assessing the level of knowledge reached by the student with respect to computational and methodological aspects covered by the course.
Extended program The course introduces numerical methods and advanced topics in statistical computation that are used in many fields, such as finance and economy, data mining, and social sciences. Real case studies will be analyzed using the R software.
A selection of topics included is:
- Monte Carlo Simulations
- Monte Carlo Integration
- Numerical optimization techniques
- Latent variable models: finite mixture models, latent class models, hidden Markov models
- EM Algorithm
- Bootstrap Inference

MOD. II BAYESIAN COMPUTING

Code A000210
Location PERUGIA
CFU 6
Teacher Francesco Bartolucci
Teachers
  • Francesco Bartolucci
Hours
  • 42 ore - Francesco Bartolucci
Learning activities Affine/integrativa
Area Attività formative affini o integrative
Academic discipline SECS-S/01
Type of study-unit Obbligatorio (Required)
Language of instruction English
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