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Dr. M. A. Abd Elgawad :: Publications:

Degree-based moment estimation for ordered networks.
Authors: Li W., Yan T., Abd Elgawad, M. A. and Qin H.
Year: 2017
Keywords: Not Available
Journal: J. Syst. Sci. Complex 30: 721-733.
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: DOI: 10.1007/s11424- 017-5307-5.
Local/International: International
Paper Link: Not Available
Full paper Not Available
Supplementary materials Not Available

The edges between vertices in networks take not only the common binary values, but also the ordered values in some situations (e.g., the measurement of the relationship between people from worst to best in social networks). In this paper, the authors study the asymptotic property of the moment estimator based on the degrees of vertices in ordered networks whose edges are ordered random variables. In particular, the authors establish the uniform consistency and the asymptotic normality of the moment estimator when the number of parameters goes to infinity. Simulations and a real data example are provided to illustrate asymptotic results.

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