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Properties of Estimators MCQs for Competitive Exams

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Properties of Estimators MCQs for Competitive Exams

Practice with answers, explanations, and exam-focused revision notes.

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Topic Notes: Properties of Estimators

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Quick Overview

Properties of Estimators MCQs in Statistics are useful for candidates who need targeted practice for CSS, PMS, FPSC, PPSC, NTS, entry tests, and other competitive exams in Pakistan. This topic page is designed for quick revision, repeated practice, and exam-focused preparation.

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11
If the expected value of an estimator is less than the true population parameter, how is the estimator classified?
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12
What is the statistical term for an estimator whose expected value is equal to the population parameter it estimates?
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13
For two estimators T1 and T2, if the risk function R(T1, θ) ≤ R(T2, θ) for all θ, how is T1 defined?
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14
When a sample statistic does not equal the corresponding population parameter, how is that estimator classified?
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15
For a biased estimator of a parameter, what is the correct mathematical relationship between the mean squared error (MSE), variance, and bias?
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16
In the context of statistical estimation, if the bias (b - B) is equal to zero, what does this imply regarding the sampling error?
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17
Which of the following are considered desirable properties of a statistical estimator?
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18
If X follows a normal distribution and we consider a specific estimator, what property does it possess if its expected value equals the parameter?
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19
How is the sample proportion (p̂) classified in terms of its estimation properties?
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20
Which of the following are considered essential criteria for evaluating the quality of a point estimator?
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