Weak convergence theory for Poisson sampling designs

02/25/2019

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by   Leo Pasquazzi, et al.

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This work provides some general theorems about unconditional and conditional weak convergence of Horvitz-Thompson empirical processes in the case of Poisson sampling designs. The theorems presented in this work are more general than previously published results. Their proofs are based on the symmetrization technique and on a contraction principle.