Search for tag: "factorization theorem"

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.

From  Jane Harvill 480 plays 0  

Show a sufficient statistic is minimal sufficient

Example to illustrate finding a minimal sufficient statistic for p, when population is Bernoulli(p)

From  Jane Harvill 208 plays 0  

Finding a Sufficient Statistic Using the Factorization Theorem

Two examples are provided that illustrate using the Factorization Theorem to find a sufficient statistic.

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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…

From  Jane Harvill 377 plays 0