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20122026
most citedInequalities for modified Bessel functions and their integrals

81 citations · 158 across the 66 of their papers we have counts for

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Showing 2017Show all

5 papers · 1 filter

math.PR2017

Wasserstein and Kolmogorov error bounds for variance-gamma approximation via Stein's method I

Robert E. Gaunt

The variance-gamma (VG) distributions form a four parameter family that includes as special and limiting cases the normal, gamma and Laplace distributions. Some of the numerous app…

math.PR2017

Compound Poisson approximation of subgraph counts in stochastic block models with multiple edges

Matthew Coulson, Robert E. Gaunt, Gesine Reinert

We use the Stein-Chen method to obtain compound Poisson approximations for the distribution of the number of subgraphs in a generalised stochastic block model which are isomorphic…

math.CA2017

Inequalities for integrals of modified Bessel functions and expressions involving them

Robert E. Gaunt

Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases, we show that we obtain the best possible…

stat.ML2017★ 4 cited

Identifying networks with common organizational principles

Anatol E. Wegner, Luis Ospina-Forero, Robert E. Gaunt +2

Many complex systems can be represented as networks, and the problem of network comparison is becoming increasingly relevant. There are many techniques for network comparison, from…

math.CA2017

Inequalities for the modified Bessel function of the second kind and the kernel of the Krätzel integral transformation

Robert E. Gaunt

We obtain new inequalities for the modified Bessel function of the second kind in terms of the gamma function. These bounds follow as special cases of inequalities that we de…