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 45, Number 1

Publication Date: March 2013

Stochastic Geometry and Statistical Applications

Full- and half-Gilbert tessellations with rectangular cells

James Burridge, Richard Cowan and Isaac Ma; 1-19

Connectivity of random geometric graphs related to minimal spanning forests

C. Hirsch, D. Neuhäuser and V. Schmidt; 20-36

General Applied Probability

Estimates of the exit probability for two correlated Brownian motions

Jinghai Shao and Xiuping Wang; 37-50

Monotone policies and indexability for bidirectional restless bandits

K. D. Glazebrook, D. J. Hodge and C. Kirkbride; 51-85

Error bounds for small jumps of Lvy processes

E. H. A. Dia; 86-105

Characterizing heavy-tailed distributions induced by retransmissions

Predrag R. Jelenković and Jian Tan; 106-138

Living on the multidimensional edge: seeking hidden risks using regular variation

Bikramjit Das, Abhimanyu Mitra and Sidney Resnick; 139-163

Bayesian quickest detection problems for some diffusion processes

Pavel V. Gapeev and Albert N. Shiryaev; 164-185

Asymptotics of Markov kernels and the tail chain

Sidney I. Resnick and David Zeber; 186-213

Discrete-Time Semi-Markov Random Evolutions and their Applications

Nikolaos Limnios and Anatoliy Swishchuk; 214-240

Finite- and infinite-time ruin probabilities with general stochastic investment return processes and bivariate upper tail independent and heavy-tailed claims

Fenglong Guo and Dingcheng Wang; 241-273

Loss systems with slow retrials in the Halfin–Whitt regime

F. Avram, A. J. E. M. Janssen and J. S. H. Van Leeuwaarden; 274-294

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