Empirical Processes in Survey Sampling with (Conditional) Poisson Designs
Empirical Processes in Survey Sampling with (Conditional) Poisson Designs
复制标题
使用（条件）泊松设计进行调查抽样的经验过程
DOI：
10.1111/sjos.12243
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发表时间：
2017
影响因子：
1
通讯作者：
S. Clémençon
中科院分区：
文献类型：
--
作者：
P. Bertail;E. Chautru;S. Clémençon
本文的主要目的是研究调查数据背景下的经验过程的某些变量的渐近性。在一般情况下，当样本来自Poisson或拒绝抽样设计时，建立了泛函中心极限定理。我们开发的框架包括具有非均匀一阶包含概率的抽样设计，可以选择这些概率以优化估计精度。Hadamard微分泛函的应用被认为是。
It is the main purpose of this paper to study the asymptotics of certain variants of the empirical process in the context of survey data. Precisely, Functional Central Limit Theorems are established under usual conditions when the sample is drawn from a Poisson or a rejective sampling design. The framework we develop encompasses sampling designs with non‐uniform first order inclusion probabilities, which can be chosen so as to optimize estimation accuracy. Applications to Hadamard differentiable functionals are considered.