Advances in Applied Probability, Vol. 50, No. 1 (2018), pp. 272-301 (30 pages) We consider a family of directed exponential random graph models parametrized by edges and outward stars. Much of the ...

We study the asymptotics for sparse exponential random graph models where the parameters may depend on the number of vertices of the graph. We obtain exact estimates for the mean and variance of the ...

That's been the general contention of the media, which, as a public service, have explained at some length the basics of fast-growing quantities, such as disease, to hammer home how something like a ...

Venture capital firms use a variety of accumulated resources to inform their investment activities, but do the rely solely on their own resources or do they employ other firms' resources to complement ...

Every company wants it, but few can attain it: Exponential growth. While many companies may double their users or revenue off of a small base, few can continue this trend over time, especially in ...

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...

Author Name Hazem KRICHENE (University of Hyogo) / ARATA Yoshiyuki (Fellow, RIETI) / Abhijit CHAKRABORTY (University of Hyogo) / FUJIWARA Yoshi (University of Hyogo) / INOUE Hiroyasu (University of ...