Among All Estimators of Parameter $\theta$ That Are Unbiased, Choose the One That Has Minimum Variance

question 18

Short Answer

Among all estimators of parameter $\theta$ that are unbiased, choose the one that has minimum variance. The resulting $\hat { \theta }$ is called the __________ of $\theta$ .

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Definitions:

Franklin Pierce

14th President of the United States, serving from 1853 to 1857, known for his pro-southern policies prior to the Civil War.

Hawai'i

A U.S. state located in the Pacific Ocean, recognized for its diverse natural scenery, warm tropical climate, and as a host of a unique Polynesian culture.

Slave Power

A term used to describe the perceived political and economic control that slaveholders had in the United States government before the Civil War.

Kansas-Nebraska Act

An 1854 legislation that created the territories of Kansas and Nebraska, leaving the decision about slavery to be determined by popular sovereignty, leading to violent conflict in the region.