On a \(q\)-steady state Markov chain model based on transformed dual \(q\)-Krawtchouk orthogonal polynomials and its limiting behaviour (Q607611)
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scientific article; zbMATH DE number 5818136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a \(q\)-steady state Markov chain model based on transformed dual \(q\)-Krawtchouk orthogonal polynomials and its limiting behaviour |
scientific article; zbMATH DE number 5818136 |
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On a \(q\)-steady state Markov chain model based on transformed dual \(q\)-Krawtchouk orthogonal polynomials and its limiting behaviour (English)
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22 November 2010
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A discrete \(q\)-distribution based on transformed dual \(q\)-Krawtchouk orthogonal polynomials is introduced. Such distribution arises as the steady state distribution of a birth-death-abort model. Limiting behaviour of the introduced distribution is studied. Numerical calculations by using \texttt{MAPLE} package are performed.
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\(q\)-discrete distribution
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dual \(q\)-Krawtchouk orthogonal polynomials
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Markov chain
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\(q\)-Hermite distribution
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\(q\)-continuous Gauss distribution
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\texttt{MAPLE}
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0.85836303
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0.8427752
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0.8374936
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0.83727413
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0.8354982
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0.8340585
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0.8323518
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