Inhalt

[ 551MASTSTIU14 ] UE Statistical Inference

Versionsauswahl
Es ist eine neuere Version 2021W dieser LV im Curriculum Bachelor's programme Statistics and Data Science 2024W vorhanden.
(*) Unfortunately this information is not available in english.
Workload Education level Study areas Responsible person Hours per week Coordinating university
4 ECTS B2 - Bachelor's programme 2. year Statistics Helga Wagner 2 hpw Johannes Kepler University Linz
Detailed information
Pre-requisites (*)keine
Original study plan Bachelor's programme Statistics 2017W
Objectives Students can apply the methods of mathematical statistics
Subject Properties of a random sample, order statistics

Sufficiency, Likelihood principle, equivariance principle

Point estimation (ML, method of moments, Bayes estimator), criteria for point estimates, Cramer-Rao inequality

hypothesis testing: likelihood ratio test, Bayes-test, Lemma of Neyman and Pearson, p-values

intervall estimation: inversion of tests, Bayesian intervals, coverage, criteria for interval estimates

Criteria for evaluation homework
Methods discussion of the homework
Language German
Study material G. Casella and R.L. Berger, Statistical Inference. Robert Hafner, Wahrscheinlichkeitsrechnung und Statistik.
Changing subject? No
Corresponding lecture (*)4MSMS1U: UE Mathematische Statistik I (4 ECTS)
On-site course
Maximum number of participants 40
Assignment procedure Assignment according to priority