Article
Asymptotic Quantile Tukey-Lambda-Normality induced by the Hadamard Walk in the Central Limit Theorem of the Open Quantum Random Walk with Time Dependence
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Abstract
We generalize the technique of Aljarrah et.al [Mohammad A Al jarrah, Carl Lee and Felix Famoye, On generating T-X family of distributions using quantile functions, Journal of Statistical Distributions and Applications 2014, 1:2] and show a special distribution arising from this technique, a so-called Quantile Tukey-Lambda-Normal distribution, gives the exact asymptotic behavior of the open quantum random walk in the central limit theorem with time dependence induced by the Hadamard walk as observed in [Clement Boateng Ampadu(2017) Asymptotic Behavior of the Hadamard Walk in the Central Limit Theorem of the Open Quantum Random Walk with Time Dependence SF J Quan Phy 1:1], under certain conditions.
Keywords
quantile, tukey-lambda distribution, normal distribution, open quantum random walk, time dependence, central limit theorem, hadamard walk
Citation
Ampadu, C. B. (2018). Asymptotic quantile tukey-lambda-normality induced by the hadamard walk in the central limit theorem of the open quantum random walk with time dependence. Quantum Physics Letters, 7(1), 1–6. https://doi.org/10.18576/qpl/070101
C. B. Ampadu, “Asymptotic quantile tukey-lambda-normality induced by the hadamard walk in the central limit theorem of the open quantum random walk with time dependence,” Quantum Physics Letters, vol. 7, no. 1, pp. 1–6, 2018, doi: 10.18576/qpl/070101.
Ampadu CB. Asymptotic quantile tukey-lambda-normality induced by the hadamard walk in the central limit theorem of the open quantum random walk with time dependence. Quantum Physics Letters. 2018;7(1):1–6. doi:10.18576/qpl/070101.
Ampadu, C. B. (2018), ‘Asymptotic quantile tukey-lambda-normality induced by the hadamard walk in the central limit theorem of the open quantum random walk with time dependence’, Quantum Physics Letters, 7(1), pp. 1–6. Available at: https://doi.org/10.18576/qpl/070101.
Ampadu, Clement Boateng. “Asymptotic Quantile Tukey-lambda-normality Induced by the Hadamard Walk in the Central Limit Theorem of the Open Quantum Random Walk with Time Dependence.” Quantum Physics Letters, vol. 7, no. 1, 2018, pp. 1–6. https://doi.org/10.18576/qpl/070101.
Ampadu, Clement Boateng. “Asymptotic Quantile Tukey-lambda-normality Induced by the Hadamard Walk in the Central Limit Theorem of the Open Quantum Random Walk with Time Dependence.” Quantum Physics Letters 7, no. 1 (2018): 1–6. https://doi.org/10.18576/qpl/070101.
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