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Consider an arbitrary parameter. If we identify an estimator\(\style{font-family:Times New ...

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Consider an arbitrary parameter. If we identify an estimator\(\style{font-family:Times New ...

Consider an arbitrary parameterδ. If we identify an estimator

$\style{font-family:Times New Roman;}{\widehat\delta}$ such that

$\style{font-family:Times New Roman;}{E\left(\widehat\delta\right)=\delta}$ , then:

▸

$\style{font-family:Times New Roman;}{\widehat\delta=\delta}$ .

▸

$\style{font-family:Times New Roman;}{\widehat\delta}$ is unbiased for $\style{font-family:Times New Roman;}{\delta.}$

▸

the maximum likelihood value for $\style{font-family:Times New Roman;}{\widehat\delta}$ is $\style{font-family:Times New Roman;}{\delta.}$

▸

the exponential value for $\style{font-family:Times New Roman;}{\widehat\delta}$ is $\style{font-family:Times New Roman;}\delta$ .

Textbook

Introductory Statistics: A Problem-Solving Approach

Edition: 3^rd

Author: Kokoska

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