=+(iii) Is m necessarily an integer? Since m needs to be an integer, a modified estimator of

=+(iii) Is ˆm necessarily an integer? Since m needs to be an integer, a modified estimator of m is ˜m, defined as the nearest integer to ˆm. Show that ˜m is also a consistent estimator of m in that P( ˜m = m) → 1 as n → ∞.