A New Approach to Inference in Multi-Survey Studies with Unknown Population Size
Methodology
2020-01-30 v6 Other Statistics
Abstract
We investigate a Poisson sampling design in the presence of unknown selection probabilities when applied to a population of unknown size for multiple sampling occasions. The fixed-population model is adopted and extended upon for inference. The complete minimal sufficient statistic is derived for the sampling model parameters and fixed-population parameter vector. The Rao-Blackwell version of population quantity estimators is detailed. An application is applied to an emprical population. The extended inferential framework is found to have much potential and utility for empirical studies.
Keywords
Cite
@article{arxiv.1401.6849,
title = {A New Approach to Inference in Multi-Survey Studies with Unknown Population Size},
author = {Kyle Vincent and Saman Muthukumarana},
journal= {arXiv preprint arXiv:1401.6849},
year = {2020}
}
Comments
Paper has been updated and changed to Rao-Blackwellization to give Improved Estimates in Multi-List Studies [arXiv:1709.09138]