Question: Are both expressions "consistent estimator" and "consistent estimate" meaningful?
The quote below is intended to be illustrative; however, I am interested in the question above in a general setting.
Reading a paper on econometrics (Krueger, 2001, pp. 8), I noticed an expression "consistent estimate[s]":
Generalized method of moments provides a way to weight the sample moments efficiently to derive consistent estimates of the desired population parameters.
which I found a little weird; I was more used to "consistent estimator". I thought it was a typo. I googled the two expressions to see if one clearly dominates. Interestingly, Google gives quite many hits for both: 190 000 for "consistent estimator" and 126 000 for "consistent estimate".
Here is a thread "What is the relation between estimator and estimate?" with a beautiful answer from @whuber. I guess it could be sufficient, but I would appreciate an answer specifically on whether the concept "consistent" applies to both "estimator" and "estimate" or just one of them.
References
- Krueger, Alan B. "Symposium on econometric tools." The Journal of Economic Perspectives 15.4 (2001): 3-10.