# Poisson distribution and completeness, what happens when one point removed from parameter space?

Long time ago (early 1980's) my professor showed me a paper (I think it was Teachers' Corner or something similar) about the Poisson distribution and completeness. Showed that if only one point was removed from the parameter space, then the usual sufficient and complete statistic was no longer complete! Now, using to much time googling and on JSTOR, I am unable to find such a paper. Anybody has any idea?