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The desirable properties of a good estimates of population parameter is

  • A.unbiased and consistent
  • B.unbiased and minimum variance
  • C.unbiased, consistent and minimum variance
  • D.consistent, minimum variance and efficient

Answer: C

The desirable properties of a good estimate of a population parameter are that it be unbiased, consistent and of minimum variance. An unbiased estimator has an expected value equal to the parameter, a consistent one converges on the parameter as the sample grows, and one with minimum variance is the most precise of the unbiased estimators. The other options list only two of the three properties, or add efficiency in place of unbiasedness. Option C is correct.

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