In
statistics, burstiness is the intermittent increases and decreases in activity or
frequency of an event.[1][2]
One measure of burstiness is the
Fano factor—a ratio between the
variance and
mean of counts.
Burstiness of inter-contact time between nodes in a
time-varying network can decidedly slow spreading processes over the network. This is of great interest for studying the spread of information and disease. [7]
Burstiness score
One relatively simple measure of burstiness is burstiness score. The burstiness score of a subset of time period relative to an event is a measure of how often appears in compared to its occurrences in . It is defined by
Where is the total number of occurrences of event in subset and is the total number of occurrences of in .
Burstiness score can be used to determine if is a "bursty period" relative to . A positive score says that occurs more often during subset than over total time , making a bursty period. A negative score implies otherwise. [8]
^
abLambiotte, R. (2013.) "Burstiness and Spreading on Temporal Networks", University of Namur.
^Neuts, M. F. (1993.) "The Burstiness of Point Processes", Commun. Statist.—Stochastic Models, 9(3):445–66.
^D'Auria, B. and Resnick, S. I. (2006.) "Data network models of burstiness", Adv. in Appl. Probab., 38(2):373–404.
^Ying, Y.; Mazumdar, R.; Rosenberg, C.; Guillemin, F. (2005.) "The Burstiness Behavior of Regulated Flows in Networks", Proceedings of the 4th IFIP-TC6 International Conference on Networking Technologies, Services, and Protocols, Performance ofo Computer and Communication Networks, Mobile and Wireless Communication Systems, 3462:918–29.
^Jagerman, D. L. and Melamed, B. (1994.) "Burstiness Descriptors of Traffic Streams: Indices of Dispersion and Peakedness", Proceedings of the 1994 Conference on Information Sciences and Systems, 1:24–8.