On the Efficiency of Best Asymptotically Normal Estimates of the Poisson Parameter Based on Singly and Doubly Truncated or Censored Samples

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Abstract
The paper presents an investiga-tion into the precision of the samples in the estimation of the Poisson parameter, mainly in the following two cases: (i) a singly or doubly truncated sample of size N relative to a complete sample of the same size; (ii) a singly or doubly censored sample of size N relative to a complete sample of size equal to the expected number of measured (un-pooled) observations in the censored sample. In the former case it is shown that the truncated sample is inferior to the complete sample in the estimation of the Poisson parameter. In the latter case, the censored sample is shown to be superior to the complete sample.

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