Point estimation and properties of estimators

STA 121. Practice questions, not past papers.

Pre-test

Answer before you read the lessons.

1. An estimator is what?A. Always the fixed population parameterB. A guaranteed correct answerC. Only one observed numberD. A rule applied to random sample data

2. Unbiasedness means what?A. Every sample estimate equals the parameterB. The estimator is always positiveC. The estimator's expectation equals the parameterD. Variance is always zero

Lessons

Practice questions

An estimator is what?
Statistics study edition practice item Q281; Source: T121-124
Unbiasedness means what?
Statistics study edition practice item Q282; Source: T121-124
Consistency concerns what?
Statistics study edition practice item Q283; Source: T121-124
Among unbiased estimators of the same parameter, smaller variance indicates what?
Statistics study edition practice item Q284; Source: T121-124
An unbiased estimator T has variance 9. Another unbiased estimator U has variance 4. Find Var(T)/Var(U). Give the value to 4 decimal places.
Statistics study edition practice item Q285; Source: T123
An unbiased estimator has expectation equal to the _____.
Statistics study edition practice item F093; Source: T121-124
Convergence to the parameter as n grows is _____.
Statistics study edition practice item F094; Source: T121-124

Topic gap report