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A \(q\)-Weibull counting process through a fractional differential operator (Q538923)

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scientific article; zbMATH DE number 5900143
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English
A \(q\)-Weibull counting process through a fractional differential operator
scientific article; zbMATH DE number 5900143

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    A \(q\)-Weibull counting process through a fractional differential operator (English)
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    26 May 2011
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    Summary: We use the \(q\)-Weibull distribution and define a new counting process using the fractional order. As a consequence, we introduce a \(q\)-process with \(q\)-Weibull interarrival times. Some interesting special cases are also discussed which leads to a Mittag-Leffler form.
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