StudyPath

STA 321 Statistical Theory IV

HND1 levelSciences21 topics

STA 321 covers 21 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

  1. Independence of discrete random variables
  2. Characteristic function of sums of independent variables
  3. Distribution of the sum of two independent random variables
  4. Gamma function
  5. Chi-square distribution
  6. Characteristic function of the chi-square distribution
  7. Degrees of freedom
  8. Moments of the chi-square distribution
  9. Student's t distribution
  10. Fisher's F distribution
  11. Cochran's theorem
  12. Hypothesis testing concepts
  13. Randomized and non-randomized tests
  14. Power, UMP tests and OC curves
  15. Neyman-Pearson lemma
  16. Likelihood function
  17. Maximum likelihood estimation
  18. Cramér-Rao and Bhattacharyya bounds
  19. Unbiased estimation and MVUE
  20. Sufficient and complete statistics
  21. Rao-Blackwell theorem

A sample from this course

One topic, as StudyPath teaches it.

Independence of discrete random variables

Independence of discrete random variables is a foundational concept that determines whether the joint probability distribution can be expressed as the product of individual marginal distributions. Mastering this idea is crucial for the Nigerian tertiary exams because many probability problems hinge on recognising or proving independence to simplify calculations.

What you get for STA 321