An Exact and an Approximation Method to Compute the Degree Distribution of Inhomogeneous Random Graph Using Poisson Binomial Distribution
نویسندگان
چکیده
Inhomogeneous random graphs are commonly used models for complex networks where nodes have varying degrees of connectivity. Computing the degree distribution such is a fundamental problem and has important applications in various fields. We define inhomogeneous graph as model edges drawn independently probability link between any two vertices can be different each node pair. In this paper, we present an exact approximation method to compute using Poisson binomial distribution. The algorithm utilizes DFT-CF variable. uses Poisson, binomial, Gaussian distributions approximate
منابع مشابه
Degree Distribution of an Inhomogeneous Random Intersection Graph
We show the asymptotic degree distribution of the typical vertex of a sparse inhomogeneous random intersection graph.
متن کاملUniform asymptotics of Poisson approximation to the Poisson-binomial distribution
New uniform asymptotic approximations with error bounds are derived for a generalized total variation distance of Poisson approximations to the Poisson-binomial distribution. The method of proof is also applicable to other Poisson approximation problems. MSC 2000 Subject Classifications: Primary 62E17; secondary 60C05.
متن کاملMultivariate Poisson–Binomial approximation using Stein’s method
The paper is concerned with the accuracy in total variation of the approximation of the distribution of a sum of independent Bernoulli distributed random d–vectors by the product distribution with Poisson marginals which has the same mean. The best results, obtained using generating function methods, are those of Roos (1998, 1999). Stein’s method has so far yielded somewhat weaker bounds. We de...
متن کاملA Nonuniform Bound for the Approximation of Poisson Binomial by Poisson Distribution
It is well known that Poisson binomial distribution can be approximated by Poisson distribution. In this paper, we give a nonuniform bound of this approximation by using Stein-Chen method.
متن کاملAn Alternative to the Beta-Binomial Distribution with Application in Developmental Toxicology
The beta-binomial distribution is resulted when the probability of success per trial in the binomial distribution varies in successive trials and the mixing distribution is from the beta family. For experiments with binary outcomes, often it may happen that observations exhibit some extra binomial variation and occur in clusters. In such experiments the beta-binomial distribution can generally ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2023
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math11061441