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Family 8

Estimators: unbiased / consistent

These 2 topics share one solution. Spot the family, apply the method — same trick, different story.

How to spot this family

  • Estimator from first three observations:Second most frequent (27/50) · "the estimator of μ defined as the weighted average of just the first three observations" · Answer in Maple syntax: mu, sigma, 11/9*mu, 41/81*sigma^2
  • Proportion estimator:Third most frequent (23/50) · "estimate the true proportion of successes π using the following estimator" · P^\hat P is a function of YY (the number of successes); answer in Maple syntax: Pi

Topics in this family

Related knowledge points

The concepts behind this family's method — brush up first if unsure.