Exponential graphs are graphs in the form \(y = k^x\). These graphs increase rapidly in the \(y\) direction and will never fall below the \(x\)-axis.

Plotting a graph takes time. Often mathematicians just want to know the key features. These are: shape, location and some key points (such as where the graph crosses the axes or turning points).

Abstract: A variety of random graph models have been developed in recent years to study a range of problems on networks, driven by the wide availability of data from many social, telecommunication, ...

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 ...

Provide students with graphs of linear, quadratic, and exponential functions. Ask them to identify the type of function in each graph by utilizing their knowledge of slope, y-intercept, vertex, and ...

The best affine invariant estimator of the parameter p in p exp [-p(y-θ)] $I_{(\theta,\infty)}(y)$, where $I_{A}(y)$ is the indicator function of the set A, is shown ...