Summary
The problem to estimate a common parameter for the pooled sample from the uniform distributions is discussed in the presence of nuisance parameters. The maximum likelihood estimator (MLE) and others are compared and it is shown that the MLE based on the pooled sample is not (asymptotically) efficient.
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Akahira, M., Takeuchi, K. Estimation of a common parameter for pooled samples from the uniform distributions. Ann Inst Stat Math 37, 17–26 (1985). https://doi.org/10.1007/BF02481077
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DOI: https://doi.org/10.1007/BF02481077