Mathematical Statistics

Course Code :1001WETWST
Study domain:Mathematics
Academic year:2017-2018
Semester:2nd semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 2nd semester
Lecturer(s)Florence Guillaume

3. Course contents *

  • We define the basic concepts of statistical models: statistical models, likelihood function, parametric model, non-parametric model, random sample, empirical distribution, … (Chapter 1)
  • We define the basic concepts of statistics: statistic, image space, sufficient statistic, complete statistic, minimal sufficient statistic, … and we discuss various examples of widely used statistics (sample mean, sample variance, order statistics, rank statistics, …) (Chapter 2)
  • We discuss parameter estimation within a parametric model: we study methods to find an estimator and to check its properties (Chapter 3).
  • We discuss the construction of a confidence interval for an unknown parameter (Chapter 4).
  • We study the mechanism of hypothesis tests about a parameter. We introduce some specific hypothesis tests and we discuss which test is most appropriate under which circumstances (Chapter 5).
  • We introduce the linear model. We discuss parameter estimation and the construction of confidence intervals and hypothesis tests (Chapter 6).
  • We use the statistical software package R to apply all statistical methods.