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STAT 3743 Daily Outline

STAT 3743 Daily Outline

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2010-10-25 Mon

Check it's a max with FDT or SDT

General case for maximum likelihood

Remarks

Example: MLE for geom distribution

More remarks

Definition of unbiased estimator

Example: X-bar is unbiased in the sharks problem

Example: in two-parameter norm case, MLE of variance is biased, but sample variance is unbiased

Confidence intervals for means

why CI's are important for estimation

intuition for the z-interval

Definition of z-interval, confidence interval, confidence coefficient

Example: 90% confidence interval for μ

Remarks

  • for fixed confidence, as sample size increases the CI gets shorter
  • for fixed sample size, as confidence increases the CI gets wider

Example: SRS(10) from pop'n, find 95% CI for μ

  1. identify Parameter of interest, in context
  2. check Assumptions
  3. choose relevant Name of procedure based on above
  4. actually calculate the Interval
  5. state Conclusion, in context of problem

Author: G. Jay Kerns

Date: 2010-11-05 14:46:01 EDT

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