On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I (Q1324863)
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scientific article; zbMATH DE number 578653
| Language | Label | Description | Also known as |
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| English | On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I |
scientific article; zbMATH DE number 578653 |
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On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I (English)
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19 July 1994
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We improve some results of the author [Lith. Math. J. 28, No. 3, 284-288 (1988); translation from Litov Mat. Sb. 28, No. 3, 582-588 (1988; Zbl 0651.60027)]. By using the so-called generalized Poisson measures (which in general are the signed measures), we obtain meaningful results without any moment conditions. Moreover, three asymptotic expansions based on the Gaussian distribution and the generalized Poisson measures are given.
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generalized Poisson measures
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asymptotic expansions
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Gaussian distribution
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