The largest square of successes covering the origin for Bernoulli trials on the lattice

B. Kopociński

Statistica Neerlandica, 1995, vol. 49, issue 1, 31-39

Abstract: Consider a collection of Bernoulli random variables on the two dimensional integer lattice and define the length D of the side of the largest square consisting entirely of successes, which covers the origin of the lattice. The paper gives a method to evaluate the probability distribution function of D. An analogous problem for the Poisson process on the plane is also considered.

Date: 1995
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