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Statistically dual distributions and estimation of the parameters

S. I. Bityukov·V. V. Smirnova·V. A. Taperechkina
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Abstract

The reconstruction of the parameter of the model by the measurement of the random variable depending on this parameter is one of the main tasks of statistics. In the paper the notion of the statistically dual distributions is introduced. The approach, based on the properties of the statistically dual distributions, to resolving of the given task is proposed.

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S. I. Bityukov, V. V. Smirnova, V. A. Taperechkina. 2004-12-29. Statistically dual distributions and estimation of the parameters. https://arxiv.org/abs/math/0411462

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