Temporal Statistical Analysis of Degree Distributions in an Undirected Landline Phone Call Network Graph Series
AbstractThis article aims to provide new results about the intraday degree sequence distribution considering phone call network graph evolution in time. More specifically, it tackles the following problem. Given a large amount of landline phone call data records, what is the best way to summarize the distinct number of calling partners per client per day? In order to answer this question, a series of undirected phone call network graphs is constructed based on data from a local telecommunication source in Albania. All network graphs of the series are simplified. Further, a longitudinal temporal study is made on this network graphs series related to the degree distributions. Power law and log-normal distribution fittings on the degree sequence are compared on each of the network graphs of the series. The maximum likelihood method is used to estimate the parameters of the distributions, and a Kolmogorov–Smirnov test associated with a p-value is used to define the plausible models. A direct distribution comparison is made through a Vuong test in the case that both distributions are plausible. Another goal was to describe the parameters’ distributions’ shape. A Shapiro-Wilk test is used to test the normality of the data, and measures of shape are used to define the distributions’ shape. Study findings suggested that log-normal distribution models better the intraday degree sequence data of the network graphs. It is not possible to say that the distributions of log-normal parameters are normal. View Full-Text
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Gjermëni, O. Temporal Statistical Analysis of Degree Distributions in an Undirected Landline Phone Call Network Graph Series. Data 2017, 2, 33.
Gjermëni O. Temporal Statistical Analysis of Degree Distributions in an Undirected Landline Phone Call Network Graph Series. Data. 2017; 2(4):33.Chicago/Turabian Style
Gjermëni, Orgeta. 2017. "Temporal Statistical Analysis of Degree Distributions in an Undirected Landline Phone Call Network Graph Series." Data 2, no. 4: 33.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.