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Optimization of the normalizing transformation of a Poisson process for the estimation of a confidence interval of a nonrandom deviation - MaRDI portal

Optimization of the normalizing transformation of a Poisson process for the estimation of a confidence interval of a nonrandom deviation (Q1311084)

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scientific article; zbMATH DE number 484251
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Optimization of the normalizing transformation of a Poisson process for the estimation of a confidence interval of a nonrandom deviation
scientific article; zbMATH DE number 484251

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    Optimization of the normalizing transformation of a Poisson process for the estimation of a confidence interval of a nonrandom deviation (English)
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    8 February 1994
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    There exists an unique ordered set of coefficients creating the transformation of the Poisson process, that the asymmetry of this transformation is asymptotically zero. The transformation depends also on the mean value of the Poisson process, which is known or one can estimate it. This normalizing transformation decreases the kurtosis roughly three times, changing its sign.
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    Poisson process
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    kurtosis
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