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55753-01 - Lecture: Elements of Applied Probability 3 CP

Semester fall semester 2019
Course frequency Every fall sem.
Lecturers Christian Kleiber (christian.kleiber@unibas.ch, Assessor)
Content The course intends to provide an overview of useful (and often cheap!) results in probability, results that are beyond the usual undergraduate "(Probability and) Statistics for Business and Economics" course but still far away from industry-strength probability.

In economics departments, probability is often narrowly seen as an input for econometrics, or empirical fields more broadly. The present course will attempt to provide a broader view: applied probability not only as a basis for econometrics and statistics, but also for a better understanding of stochastic models in economics, finance and management science. Measure theory will not be developed, but it will be explained why the more abstract version exists and what it looks like. As always, the limiting factor is mathematics. We aim at an intermediate level emphasizing practically useful results and computation, deeper results will only be sketched or quoted.

The course will be an eclectic mix of loosely related topics. It will not follow a textbook; it should be possible to just sample parts. Topics will include computations of expectations and variances, methods for bounding probabilities and expectations, stochastic orders, order statistics, dependence concepts, an overview of limit theorems, possibly some dynamic models such as the Poisson process. There will be no data analysis (obviously), but software for simulations or plotting (!), such as R or Matlab, can be helpful.
Learning objectives Overview of probabilistic tools beyond the undergraduate level.
Bibliography The course will not follow a textbook. General references include

Gupta AK, Zeng WB, Wu Y (2010). Probability and Statistical Models (Foundations for Problems in Reliability and Financial Mathematics), Springer. [available as eBook]

Hong Y (2018). Probability and Statistics for Economists, World Scientific.

Linton O (2017). Probability, Statistics and Econometrics, Academic Press.

Monfort A (1996). Cours de probabilit'es, 3rd ed, Economica.

Wasserman L (2005). All of Statistics, Springer.
Comments This is a course simultaneously addressing beginning PhD students and MSc students with sufficient preparation. It will proceed more quickly than typical MSc level courses.
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Admission requirements WWZ students: BA completed. In addition, successful completion of Econometrics (MSc) is strongly recommended.

Other participants: Some background in statistics and mathematics.
Course application Registration: Please enrol in MOnA. EUCOR-Students and students of other Swiss Universities have to enrol at the students administration office (studseksupport1@unibas.ch) within the official enrolment period. Enrolment = Registration for the exam!
Language of instruction English
Use of digital media No specific media used

 

Interval Weekday Time Room

No dates available. Please contact the lecturer.

Modules Modul: Fachlich-methodische Weiterbildung (Doctoral Studies - Faculty of Business and Economics)
Module: Electives (Master's Studies: Business and Economics)
Assessment format end-of-semester examination
Assessment details Depending on the number of participants (up to 15 or more) there will be an oral or a written exam.
Assessment registration/deregistration Registration: course registration
Repeat examination no repeat examination
Scale 1-6 0,1
Repeated registration as often as necessary
Responsible faculty Faculty of Business and Economics , studiendekanat-wwz@unibas.ch
Offered by Faculty of Business and Economics

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