72 citations · 112 across the 2 of their papers we have counts for
6 papers · 1 filter
Structure of large random hypergraphs
R. W. R. Darling, J. R. Norris
The theme of this paper is the derivation of analytic formulae for certain large combinatorial structures. The formulae are obtained via fluid limits of pure jump-type Markov proce…
Fluid Limits of Pure Jump Markov Processes: a Practical Guide
R. W. R. Darling
A rescaled Markov chain converges uniformly in probability to the solution of an ordinary differential equation, under carefully specified assumptions. The presentation is much sim…
Structure of large random hypergraphs
R. W. R. Darling, J. R. Norris
The theme of this paper is the derivation of analytic formulae for certain large combinatorial structures. The formulae are obtained via fluid limits of pure jump type Markov proce…
The Repeated Solicitation Model
R. W. R. Darling
This paper presents a probabilistic analysis of what we call the "repeated solicitation model". To give a specific context, suppose B is a direct marketing company with a list of S…
Geometrically Intrinsic Nonlinear Recursive Filters II: Foundations
R. W. R. Darling
This paper contains the technical foundations from stochastic differential geometry for the construction of geometrically intrinsic nonlinear recursive filters. A diffusion X on a…
Intrinsic Location Parameter of a Diffusion Process
R. W. R. Darling
For nonlinear functions f of a random vector Y, E[f(Y)] and f(E[Y]) usually differ. Consequently the mathematical expectation of Y is not intrinsic: when we change coordinate syste…