A mixture model was adopted from the maximum pseudo-likelihood approach under complex sampling designs to estimate the mean of zero-inflated population. To overcome the complexity and assumptions of asymptotic distribution, the maximum pseudo-likelihood function was used, but a bootstrapping procedure was proposed as an alternative. Bootstrap confidence intervals consistently capture the true means of zero-inflated populations of the simulation studies.
Paneru, K., Padgett, R. N., & Chen, H. (2018). Estimation of Zero-Inflated Population Mean: A Bootstrapping Approach. Journal of Modern Applied Statistical Methods, 17(1), eP2557. doi: 10.22237/jmasm/1525133460