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Sep 20, 2024 - Wigner Research Centre for Physics
Sajti, Szilárd Mihály, 2024, "Calculation of bivariate cylindrically symmetric α-stable distribution using Wynn’s ε-method. Generated datasets.", https://hdl.handle.net/21.15109/ARP/BIPBSA, ARP, V1
The α-stable distributions appear in a broad field. We needed them in X-ray and neutron off-specular scattering, where their characteristic functions are frequently used as correlation functions. In practice, we need the Fourier-transforms of the 2-dimensional (and usually cylind...
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figure
Log-log plot of bivariate cylindrically symmetric α-stable distribution for values of α in range [0.1, 0.2] calculated based on expression (19) and (21) of J. P. Nolan Comput. Stat. 28:(5) (2013) 2067–2089. doi: 10.1007/s00180-013-0396-7. It uses the data of the file TestStableW...
PNG Image - 51.2 KB - MD5: 82bf7fb8624f2f68cf7fc8cca0a63a52
figure
Log-log plot of bivariate cylindrically symmetric α-stable distribution for values of α in range [0.2, 0.6] calculated based on expression (19) and (21) of J. P. Nolan Comput. Stat. 28:(5) (2013) 2067–2089. doi: 10.1007/s00180-013-0396-7. It uses the data of the file TestStableW...
PNG Image - 68.8 KB - MD5: 7fad77153441462cebf76a09d2880bbe
figure
Logarithmic plot of bivariate cylindrically symmetric α-stable distribution for values of α in range [0.6, 1.2] calculated based on expression (19) and (21) of J. P. Nolan Comput. Stat. 28:(5) (2013) 2067–2089. doi: 10.1007/s00180-013-0396-7. It uses the data of the file TestSta...
PNG Image - 62.0 KB - MD5: d024dcff3d0499dc64ba947a2822bfc3
figure
Log-log plot of bivariate cylindrically symmetric α-stable distribution for values of α in range [0.6, 1.2] calculated based on expression (19) and (21) of J. P. Nolan Comput. Stat. 28:(5) (2013) 2067–2089. doi: 10.1007/s00180-013-0396-7. It uses the data of the file TestStableW...
PNG Image - 67.1 KB - MD5: 9ada98ab45694bf116dd7b6b4c5a3ba5
figure
Bivariate cylindrically symmetric α-stable distribution for values of α in range [0.6, 1.2] calculated based on expression (19) of J. P. Nolan Comput. Stat. 28:(5) (2013) 2067–2089. doi: 10.1007/s00180-013-0396-7. It uses the data of the file TestStableWynnAlpha06-12.txt.
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