On Approximation of Mean and Variance-Covariance Matrices of Transformations of Multivariate Random Variables.

Abstract

A rigorous study of some techniques, often loosely grouped under the heading of differential approximations of variance, is presented. The emphasis is on the establishment of a rationale for the use or rejection of such techniques and on extending their range of applicability. In particular were considered the approximations of the vector of means and variance-covariance matrix of a multivariate random variable obtained as a transformation of a given multivariate random variable whose vector of means and variance-covariance matrix, but not necessarily the joint distribution, are known. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1971
Accession Number
AD0737598

Entities

People

  • Walter B. Miller

Organizations

  • Atmospheric Sciences Laboratory

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Covariance
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Random Variables
  • Rejection

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Theoretical Analysis.