Advances in Applied Probability

Advances in Applied Probability, published by the Applied Probability Trust, contains reviews and expository papers in applied probability, as well as mathematical and scientific papers of interest to probabilists, letters to the editor and a section devoted to stochastic geometry and statistical applications.


Volume 44, Number 1

Publication Date: March 2012

Stochastic Geometry and Statistical Applications

The transparent dead leaves model

B. Galerne and Y. Gousseau; 1-20

Percolation and connectivity in AB random geometric graphs

Srikanth K. Iyer and D. Yogeshwaran; 21-41

Transforming spatial point processes into Poisson processes using random superposition

Jesper Møller and Kasper K. Berthelsen; 42-62

General Applied Probability

An SIR epidemic model on a population with random network and household structure, and several types of individuals

Frank Ball and David Sirl; 63-86

Limiting distributions for a class of diminishing urn models

Markus Kuba and Alois Panholzer; 87-116

Pareto Lévy measures and multivariate regular variation

Irmingard Eder and Claudia Klüppelberg; 117-138

Joint vertex degrees in the inhomogeneous random graph model G(n, {pij})

Kaisheng Lin and Gesine Reinert; 139-165

The coupon collector's problem revisited: asymptotics of the variance

Aristides V. Doumas and Vassilis G. Papanicolaou; 166-195

Numerical methods for the exit time of a piecewise-deterministic Markov process

Adrien Brandejsky, Benoîte De Saporta and François Dufour; 196-225

Extinction probability of interacting branching collision processes

Anyue Chen, Junping Li, Yiqing Chen and Dingxuan Zhou; 226-259

The distribution of Foschini's lower bound for channel capacity

Christopher S. Withers and Saralees Nadarajah; 260-269

Asymptotic conditional distribution of exceedance counts

Michael Falk and Diana Tichy; 270-291

Bounds for the availabilities of multistate monotone systems based on decomposition into stochastically independent modules

J. Gåsemyr; 292-308

Correction: Stochastic and deterministic analysis of SIS household epidemics

P. Neal; 309-310

2012 © Applied Probability Trust