Mathematical Statistics

Graduate course, DE-76044, 2021


Description

  • Mathematical Statistics (DE-76044) will focus on the theories of statistics.
  • First Topics (probability part) covered in this class include basic distribution theories and various probability distributions such as binomial, negative binomial, Poisson, exponential, normal, bivariate, etc.
  • Second Topics (statistics part) covered in this class include point estimation, interval estimation, sampling, linear regression, and statistical hypothesis testing.
  • We will also study various statistical applications widely used for engineering. The popular R statistical language or Rstudio will be handled in this class.

Objectives

Upon successful completion of this course, students will be able to:

  1. Understand basic concepts on probability theories.
  2. Obtain basics on discrete and continuous distributions.
  3. Obtain conditional distributions.
  4. Obtain bivariate distributions.
  5. Obtain various approximation technique.
  6. Understand basic concepts on statistics theories.
  7. Obtain point estimates.
  8. Obtain interval estimates.
  9. Understand basic sampling techniques.
  10. Obtain a simple linear regression estimate.
  11. Construct various statistical hypothesis testing.
  12. Learn how to program basic statistical programs using R language.

Links