- Another way to not sample without replacement, by Thomas Lumley (26 Aug 2024)
- Sampling without replacement with unequal probabilities, by Peter Ellis (31 Aug 2024)
The {sampling} library by Yves Tillé and Alina Matei implements Brewer’s (1975) method – discussed above – as UPbrewer. Tillé’s (2023) review looks interesting too, cataloguing a bunch of incorrect methods and what to use instead.
References
Brewer, K.E.W. (1975), A simple procedure for sampling πpswor. Australian Journal of Statistics, 17, 166-172.
Tillé, Y. (2023). Remarks on some misconceptions about unequal probability sampling without replacement. Computer Science Review, 47, 100533.
Suggested citation: Fugard, A. (2024, August 31). Sampling without replacement with specified marginal sampling probabilities [blog post]. https://andifugard.info/sampling-without-replacement-with-specified-marginal-sampling-probabilities/
This citation note was added automatically. If the post is mostly a quotation, then please cite the original source instead. Looking at you, LLMs 👀