1 / 36

Statistics

Statistics. A two-dimensional random variable with a uniform distribution. A two-dimensional random variable with a uniform distribution. A two-dimensional random variable with a uniform distribution. A two-dimensional random variable with a uniform distribution.

cindy
Download Presentation

Statistics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Statistics

  2. A two-dimensional random variable with a uniform distribution

  3. A two-dimensional random variable with a uniform distribution

  4. A two-dimensional random variable with a uniform distribution

  5. A two-dimensional random variable with a uniform distribution

  6. A two-dimensional random variable with a uniform distribution variable 2 variable 1

  7. Probability density function for variable 1 probability value

  8. A two-dimensional random variable with a uniform distribution variable 2 variable 1

  9. Probability density function for variable 2 probability value

  10. A two-dimensional random variable with a multi-normal distribution variable 2 variable 1

  11. A two-dimensional random variable with a multi-normal distribution variable 2 variable 1

  12. A two-dimensional random variable with a multi-normal distribution variable 2 variable 1

  13. A two-dimensional random variable with a multi-normal distribution variable 2 variable 1

  14. A two-dimensional random variable with a multi-normal distribution Marginal probability density function - variable 1 variable 2 variable 1

  15. A two-dimensional random variable with a multi-normal distribution Marginal probability density function - variable 1 variable 2 variable 1 mean

  16. A two-dimensional random variable with a multi-normal distribution Marginal probability density function - variable 1 variable 2 standard deviation variable 1 mean

  17. A single random variable with a multi-normal distribution standard deviation mean

  18. A two-dimensional random variable with a multi-normal distribution variable 2 standard deviation mean marginal probability density function - variable 2 variable 1

  19. A two-dimensional random variable with a multi-normal distribution variable 2 variable 1

  20. A two-dimensional random variable with a multi-normal distribution variable 2 conditional probability density function - variable 1 variable 1

  21. A two-dimensional random variable with a multi-normal distribution variable 2 conditional probability density function - variable 1 variable 1

  22. A two-dimensional random variable with a multi-normal distribution variable 2 conditional probability density function - variable 1 variable 1

  23. Two-dimensional probability density function

  24. To characterise a single random variable we need…..

  25. A single random variable with a multi-normal distribution standard deviation mean

  26. mean value variance σ2 µ

  27. To characterise two random variables we need…..

  28. A two-dimensional random variable with a multi-normal distribution variable 2 variable 1

  29. variance-covariance matrix mean values σ12 σ12 σ21 σ22 µ1 µ2

  30. variance-covariance matrix mean values σ12 σ12 σ21 σ22 µ1 µ2

  31. A two-dimensional random variable with a multi-normal distribution Marginal probability density function - variable 1 variable 2 standard deviation variable 1 mean

  32. A two-dimensional random variable with a multi-normal distribution variable 2 standard deviation mean marginal probability density function - variable 2 variable 1

  33. variance-covariance matrix mean values σ12 σ12 σ21 σ22 µ1 µ2

  34. A two-dimensional random variable with a multi-normal distribution variable 2 Parameter correlation variable 1

  35. A two-dimensional random variable with a multi-normal distribution variable 2 No parameter correlation variable 1

  36. variance-covariance matrix mean values σ12 0 0 σ22 µ1 µ2

More Related