Reconstruction of a general distribution from the distribution of a linear statistics (Q1878543)
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scientific article; zbMATH DE number 2098941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reconstruction of a general distribution from the distribution of a linear statistics |
scientific article; zbMATH DE number 2098941 |
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Reconstruction of a general distribution from the distribution of a linear statistics (English)
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7 September 2004
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The authors discuss the problem on renewal of the distribution of independent similarly distributed random values \(\,X_1,\dots,X_m\,\) by the distribution of linear statistics \(\,L=\beta_1X_1+\dots+\beta_mX_m\), \(\,\beta_k>0\). A univalence criterion is obtained for such renewal and its stability is studied.
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renewal of general distribution
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linear statistics
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