Consider an estimator based on a random sample of size n for a parameter for some random variable, X. If it is found that is minimum among the given class of estimators for , then is said to be:
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UoH 2019 Question 61: Point and interval estimation
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Consider an estimator Tₙ = t(X₁, X₂, …, Xₙ) based on a random sample of size n for a parameter θ for some random variable, X. If it is found that Var(Tₙ) is minimum among the given class of estimators for θ, then Tₙ is said to be: (A) consistent (B) efficient (C) unbiased (D) sufficient
Also written as: Consider an estimator T_n = t(X_1, X_2,..., X_n) based on a random sample of size n for a parameter theta for some random variable, X. If it is found that Var(T_n) is minimum among the given class of estimators for theta, then T_n is said to be:
Point and interval estimation has come up 28 times in 6 exams since 2008.
What this question tests
This question is on Properties of estimators, part of Point and interval estimation in Statistics.
What makes an estimator good: unbiased, consistent and efficient.
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