Poisson-Voronoi Tessellations

نویسنده

  • Steven Finch
چکیده

In particular, the location of S in R d is immaterial (stationarity) and E(N(S)) = λμ =Var(N(S)) (equality of mean and variance). An alternative characterization of the Poisson process involves the limit of the uniform distribution on expanding cubes C ⊆ R . Let ν denote the volume of C. Given m independent uniformly distributed particles in C and a measurable set S ⊆ C of volume μ, the probability that exactly n particles fall in S is

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تاریخ انتشار 2005