The purpose of the Institute of Mathematical Statistics (IMS) is to foster the development and dissemination of the theory and applications of statistics and probability. The Institute was formed at a ...

Central Limit Theorem: A sampling distribution of the mean is approximately normally distributed if the sample size is sufficiently large. This is true no matter what the population distribution is.

This paper presents the results of a limited investigation which brings into focus the difficulties encountered in developing exact distribution-free methods for stratified simple random sampling. It ...

Here are four programs that demonstrate sampling distributions. For each one, a "population" of 20,000 elements is established. The user selects a sample size and random samples are drawn from the ...

Information on Earth's biodiversity is increasingly collected using DNA-, image- and audio-based sampling. At the same time, ...