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On unbiased multinomial estimation
Affiliation:1. Purdue University, School of Mechanical Engineering, West Lafayette, IN 47907, USA;2. Cummins Technical Center, R&T Cummins, Inc, Columbus, IN 47201, USA;1. Department of Marine Technology, Norwegian University of Science and Technology (NTNU), Trondheim, NO, 7491, Norway;2. Centre for Autonomous Marine Operations and Systems (AMOS), Department of Marine Technology, NTNU, Trondheim, NO, 7491, Norway
Abstract:The uniformly minimum variance unbiased estimate of a parametric function and its variance are derived under the inverse multinational sampling plan of mth order (IMSP(m)), and it is shown that IMSP(m) can be used more advantageously than IMSP(j), j<m, when both are applicable.
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