16:16 duration 16 minutes 16 seconds
Example: Find Confidence Interval by Inverting…
Example: Find Confidence Interval by Inverting CDF of an Estimator
A confidence interval estimator for the shift parameter is found by inverting the CDF of a sufficient statistic for the parameter.
08:05 duration 8 minutes 5 seconds
Show a sufficient statistic is minimal sufficient
Example to illustrate finding a minimal sufficient statistic for p, when population is Bernoulli(p)
11:31 duration 11 minutes 31 seconds
Finding a Sufficient Statistic Using the…
Finding a Sufficient Statistic Using the Factorization Theorem
Two examples are provided that illustrate using the Factorization Theorem to find a sufficient statistic.
32:21 duration 32 minutes 21 seconds
Data Reduction and Sufficiency
The information in a random sample is used to make inferences about an unknown parameter theta. If the sample size n is large, then the observed sample is a long list of numbers that is difficult, if…