Statistical Inference

Faculteit Economie en Bedrijfskunde
Jaar 2018/19
Vakcode EBB075A05
Vaknaam Statistical Inference
Niveau(s) bachelor
Voertaal Engels
Periode semester I a
ECTS 5
Rooster rooster

Uitgebreide vaknaam Statistical Inference
Leerdoelen Upon completion of the course the student is able to:
1. specify the likelihood function for a set of data and determine whether it belongs to the exponential family.
2. find a (minimal) sufficient statistic for the parameters of a probability distribution.
3. formulate the likelihood equations and, if possible, estimate the parameter of the probability distribution function by maximum likelihood.
4. find the score function and the Fisher observed and expected information for a set of random variables.
5. understand, apply and combine stochastic convergence modes, Weak Law of Large Numbers and Lindeberg-Levy Central Limit Theorem, and to derive the asymptotic properties of the maximum likelihood estimator.
6. perform hypothesis testing based on the likelihood function using in particular likelihood ratio, Wald and score test statistics.
7. perform an interval estimation using appropriate pivotal quantities.
Omschrijving Parameter estimation and hypothesis testing based on the likelihood function.
Uren per week 6
Onderwijsvorm hoor- en werkcolleges
Toetsvorm opdracht(en), schriftelijk tentamen
(Final exam and group assignments)
Vaksoort bachelor
Coördinator dr. D. Ronchetti
Docent(en) dr. D. Ronchetti
Verplichte literatuur
Titel Auteur ISBN Prijs
Lecture slides
Entreevoorwaarden
Opmerkingen Info: Dr Diego Ronchetti, phone: +3150 36 33460, e-mail: d.ronchetti@rug.nl.
Secr: Martine Geerlings-Koolman, phone: +3150 36 37018, e-mail: m.a.koolman@rug.nl.
Opgenomen in
Opleiding Jaar Periode Type
BSc Econometrics and Operations Research/EOR 2 semester I a verplicht
Courses open to Exchange Students (BSc)  ( Courses open to Exchange Students (BSc) without limited access) 2 semester I a keuze