We show that the random point measures induced by vertices in the convex hull of a Poisson sample on the unit ball, when properly scaled and centered, converge to those of a mean zero Gaussian field.
The problem of unbiased estimation of the parameter θ in the binomial and Poisson distributions is considered. The variance of the estimate is required not to exceed a preassigned bound, B. For the ...
Stochastic processes form the backbone of modern probability theory, describing systems that evolve randomly over time or space. They are instrumental in areas ranging from statistical physics to ...