If is a consistent estimator of a population parameter ; and are very small quantities, then ________.
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IIT JAM 2025 Question 12: Point and interval estimation
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If β̂ is a consistent estimator of a population parameter β; ε and δ are very small quantities, then. (A) lim_(n→∞)Prob[|β̂-β|<ε]≥ 1-δ (B) lim_(n→∞)Prob[|β̂-β|<ε]=0 (C) lim_(n→∞)Prob[|β̂-β|<ε]=δ (D) lim_(n→∞)Prob[|β̂-β|<ε]=1+δ
Also written as: If beta_hat is a consistent estimator of a population parameter beta; epsilon and delta are very small quantities, then.
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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