# Accession Number:

## AD0620239

# Title:

## APPLICATIONS OF CHARACTERISTIC FUNCTIONS,

# Descriptive Note:

# Corporate Author:

## CATHOLIC UNIV OF AMERICA WASHINGTON DC DEPT OF MATHEMATICS

# Personal Author(s):

# Report Date:

## 1964-01-01

# Pagination or Media Count:

## 204.0

# Abstract:

Applications of characteristic functions to problems of theoretical statistics are considered. Some multivariate distributions which occur in statistical problems are studied, and the distribution problem of statistics is solved in those cases where the integrals of the distribution function can be evaluated. Independent statistics are discussed and situations in which they determine the distribution functions of random variables, considered. Some regression problems, problems in the theory of stochastic processes, stability theorems, and identically distributed statistics are studied. Most theorems presented are given with detailed proofs. Author