1 / 7

Central limit theorem

Central limit theorem. H. T. -3. -2. -1. 0. 1. 2. 3. Limit of many independent coin flips. constant. H. H. H. H. H. H. H. T. T. T. T. T. T. T. ?. ?. ?. ?. ?. ?. ?. Central limit theorem. H. T. -3. -2. -1. 0. 1. 2. 3. Outline of calculation.

janine
Download Presentation

Central limit theorem

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. Central limit theorem H T -3 -2 -1 0 1 2 3

  2. Limit of many independent coin flips constant H H H H H H H T T T T T T T ? ? ? ? ? ? ?

  3. Central limit theorem H T -3 -2 -1 0 1 2 3

  4. Outline of calculation Use coordinate change to express f in terms of dx Re-express g in terms of p = 1/2 Apply Stirling’s approximation to N! and

  5. Outline of calculation

  6. Outline of calculation 1 -1 0 1

  7. Outline of calculation 34.1% 34.1% 2.1% 2.1% 0.1% 0.1% 13.6% 13.6% -3 -2 -1 0 1 2 3

More Related