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ELEC 303 – Random Signals

ELEC 303 – Random Signals. Lecture 15 – Probability inequalities and hypothesis testing Dr. Farinaz Koushanfar ECE Dept., Rice University Oct 27, 2009. Probability inequalities. Limit theorem. Review of Law of Large Numbers. What does LLN Imply?. Central Limit Theorem.

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ELEC 303 – Random Signals

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  1. ELEC 303 – Random Signals Lecture 15 – Probability inequalities and hypothesis testing Dr. Farinaz Koushanfar ECE Dept., Rice University Oct 27, 2009

  2. Probability inequalities

  3. Limit theorem

  4. Review of Law of Large Numbers

  5. What does LLN Imply?

  6. Central Limit Theorem

  7. Example: Polling

  8. Example: Polling (Cont’d)

  9. Example: Polling (Cont’d)

  10. Example: Polling (Cont’d)

  11. Example: Polling (Cont’d)

  12. Decision making under uncertainty

  13. Decision making under uncertainty

  14. Radar Example

  15. Two hypothesis

  16. Truth vs. What I Believe it True

  17. Binary Hypothesis Testing: Terminology

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