# Accession Number:

## AD0751533

# Title:

## Subsamples of a Set of Symmetric, Independent, Identically Distributed Random Variables which Determine a Set of Typical Values.

# Descriptive Note:

## Final rept.,

# Corporate Author:

## NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1972-10-24

# Pagination or Media Count:

## 9.0

# Abstract:

Let X x sub 1, x sub 2, ..., x sub n be a set of symmetric, independent, identically distributed random variables. In the case that the variables are not assumed to be identically distributed, there is a group theoretic characterization of the collections of subsamples of X which determine a set of typical values for the parameter 0. In the work it is shown that if the variables are identically distributed, then there is a wider class of collections which determine sets of typical values. The algebraic properties of the elements of this wider class are studied and several theorems are proved. Author

# Subject Categories:

- Theoretical Mathematics