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Estimating order statistics of network degrees

Author

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  • Chu, J.
  • Nadarajah, S.

Abstract

We model the order statistics of network degrees of big data sets by a range of generalised beta distributions. A three parameter beta distribution due to Libby and Novick (1982) is shown to give the best overall fit for at least four big data sets. The fit of this distribution is significantly better than the fit suggested by Olhede and Wolfe (2012) across the whole range of order statistics for all four data sets.

Suggested Citation

  • Chu, J. & Nadarajah, S., 2018. "Estimating order statistics of network degrees," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 869-885.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:869-885
    DOI: 10.1016/j.physa.2017.08.120
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    References listed on IDEAS

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    5. David L. Libby & Melvin R. Novick, 1982. "Multivariate Generalized Beta Distributions with Applications to Utility Assessment," Journal of Educational and Behavioral Statistics, , vol. 7(4), pages 271-294, December.
    6. Wang, Xiangrong & Trajanovski, Stojan & Kooij, Robert E. & Van Mieghem, Piet, 2016. "Degree distribution and assortativity in line graphs of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 343-356.
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