We study the range Rn of a random walk on the d-dimensional lattice ℤd indexed by a random tree with n vertices. Under the assumption that the random walk is centered and has finite fourth moments, we ...

Dirichlet process (DP) priors are a popular choice for semiparametric Bayesian random effect models. The fact that the DP prior implies a non-zero mean for the random effect distribution creates an ...

Many digital designs incorporate high-speed generation of pseudorandom numbers. Typically, pseudorandom number generation is implemented using linear-feedback shift register (LFSR). An LFSR produces a ...