1. When a particular part of the population is especially important for a survey, oversampling that group can help the survey to provide better estimates. However, oversampling is not always easy or inexpensive. The ideal situation is one where information exists for the population that can help to discriminate the interesting sub-group and that information is available for sampling. Sometimes the information is weak for the intended purpose and sometimes there are restrictions on the use of information that make sampling difficult or impossible. 1 2. This note tries to make explicit why, in the case of wealth surveys, oversampling of the relatively wealthy could be desirable and how some countries, with different procedures, have tried to achieve such oversampling. It draws on information available in papers by A. Kennickell, O. Bover and others (see the reference list). Technical questions of bias correction through unit non-response correction and variance reduction are not addressed directly here. 3. The first section of this note describes the distribution of wealth and differential response rates, and how oversampling can increase the efficiency of the survey and decrease non-response bias. The second section outlines possible features of oversampling as used in existing and prospective wealth surveys. Th
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