STAT 3743 Daily Outline
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Check it's a max with FDT or SDT
General case for maximum likelihood
Remarks
 MLE: maximum likelihood estimator
 point estimators of a parameter
 sometimes take logs before differentiating
Example: MLE for geom
distribution
More remarks
 can do it for more than one parameter
 sometimes need sophisticated numerical methods
 MLEs not unique, in general
 sometimes an MLE does not exist
 MLEs are just one of many types of point estimator
Definition of unbiased estimator
Example: Xbar is unbiased in the sharks problem
Example: in twoparameter 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 zinterval
Definition of zinterval, 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
 identify Parameter of interest, in context
 check Assumptions
 choose relevant Name of procedure based on above
 actually calculate the Interval
 state Conclusion, in context of problem
Date: 20101105 14:46:01 EDT
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