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Note on the delta method for finite population inference with applications to causal inference

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  • Pashley, Nicole E.

Abstract

This work derives a finite population delta method. The delta method creates more general inference results when coupled with central limit theorem results for the finite population. This opens up a range of new estimators for which we can find finite population asymptotic properties. We focus on the use of this method to derive asymptotic distributional results and variance expressions for causal estimators. We illustrate the use of the method by obtaining a finite population asymptotic distribution for a causal ratio estimator.

Suggested Citation

  • Pashley, Nicole E., 2022. "Note on the delta method for finite population inference with applications to causal inference," Statistics & Probability Letters, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:stapro:v:188:y:2022:i:c:s0167715222001055
    DOI: 10.1016/j.spl.2022.109540
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    References listed on IDEAS

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    1. Xinran Li & Peng Ding, 2017. "General Forms of Finite Population Central Limit Theorems with Applications to Causal Inference," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(520), pages 1759-1769, October.
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