Approximation of homogeneous random field from local averages
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2015.1073318
Abstract: ABSTRACT Based on the Shannon sampling theorem of multivariate functions, the upper bound of approximated error of homogeneous random field by local averages in the mean square sense is established. The main result is that… read more here.
Keywords: homogeneous random; random field; field local; approximation homogeneous ... See more keywords
Asymptotic Degree Distributions in Large (Homogeneous) Random Networks: A Little Theory and a Counterexample
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Network Science and Engineering"
DOI: 10.1109/tnse.2019.2938916
Abstract: In random graph models, the degree distribution of an individual node should be distinguished from the (empirical) degree distribution of the graph that records the fractions of nodes with given degree. We introduce a general… read more here.
Keywords: random networks; degree distributions; homogeneous random; random ... See more keywords
The Mean Minkowski Content of Homogeneous Random Fractals
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DOI: 10.3390/math8060883
Abstract: Homogeneous random fractals form a probabilistic generalisation of self-similar sets with more dependencies than in random recursive constructions. Under the Uniform Strong Open Set Condition we show that the mean D-dimensional (average) Minkowski content is… read more here.
Keywords: mean minkowski; homogeneous random; minkowski content; content homogeneous ... See more keywords