Estimation of Zero-Inflated Population Mean with Highly Skewed Nonzero Component: A Bootstrapping Approach

Khyam Paneru, R. Noah Padgett, Hanfeng Chen · Statistics Optimization & Information Computing · 2022

This paper adopts a bootstrap procedure in the maximum pseudo-likelihood method under probability sampling designs. It estimates the mean of a population that is a mixture of excess zero and a nonzero skewed sub-population. Simulations studies show that the bootstrap confidence intervals for zero-inflated log-normal population consistently capture the true mean. The proposed method is applied to a real-life data set.

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