Consistency for the sample average $\bar { Y }$ can be defined as follows, with the exception of
A) $\bar { Y }$ converges in probability to $\mu _ { Y }$
B) $\bar { Y }$ has the smallest variance of all estimators.
C) $\bar { Y } \stackrel { p } { \rightarrow } \mu _ { Y }$
D) the probability of $\bar { Y }$ being in the range $\mu _ { Y } \pm c$ becomes arbitrarily close to one as $n$ increases for any constant c0 .

Question

Consistency for the sample average $\bar { Y }$ can be defined as follows, with the exception of
A)  $\bar { Y }$ converges in probability to $\mu _ { Y }$
B)  $\bar { Y }$  has the smallest variance of all estimators.
C) $\bar { Y } \stackrel { p } { \rightarrow } \mu _ { Y }$
D) the probability of  $\bar { Y }$  being in the range $\mu _ { Y } \pm c$ becomes arbitrarily close to one as  $n$ increases for any constant  c>0 .

Quizplus · Accepted Answer

The Answer of Consistency for the sample average $\bar { Y }$ can be defined as follows, with the exception of
A)  $\bar { Y }$ converges in probability to $\mu _ { Y }$
B)  $\bar { Y }$  has the smallest variance of all estimators.
C) $\bar { Y } \stackrel { p } { \rightarrow } \mu _ { Y }$
D) the probability of  $\bar { Y }$  being in the range $\mu _ { Y } \pm c$ becomes arbitrarily close to one as  $n$ increases for any constant  c>0 .

Consistency for the Sample Average Yˉ\bar { Y }Yˉ Can Be Defined as Follows, with the Exception of A)

Consistency for the Sample Average $\bar { Y }$ Can Be Defined as Follows, with the Exception of
A)