Functional central limit theorems for conditional Poisson sampling

05/02/2019

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by   Leo Pasquazzi, et al.

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This paper provides refined versions of some known functional central limit theorems for conditional Poisson sampling which are more suitable for applications. The theorems presented in this paper are generalizations of some results that have recently been published by Bertail, Chautru and Clémençon (2017). The asymptotic equicontinuity part of the proofs presented in this paper is based on the same idea as in Bertail, Chautru and Clémençon (2017) but some of the missing details are provided.