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Law of multiplicative error and its generalization to the correlated observations represented by the \(q\)-product - MaRDI portal

Law of multiplicative error and its generalization to the correlated observations represented by the \(q\)-product (Q280674)

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scientific article; zbMATH DE number 6578398
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Law of multiplicative error and its generalization to the correlated observations represented by the \(q\)-product
scientific article; zbMATH DE number 6578398

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    Law of multiplicative error and its generalization to the correlated observations represented by the \(q\)-product (English)
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    10 May 2016
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    Summary: The law of multiplicative error is presented for independent observations and correlated observations represented by the q-product, respectively. We obtain the standard log-normal distribution in the former case and the log-q-normal distribution in the latter case. Queirós' \(q\)-log normal distribution is also reconsidered in the framework of the law of error. These results are presented with mathematical conditions to give rise to these distributions.
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    multiplicative error
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    law of error
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    likelihood function
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    log-normal distribution
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    \(q\)-product
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