A Statistical Model for Estimation of Variability Variances from Noisy Data.

Abstract

A statistical model is developed which yields estimates of space and time variability variances (atmospheric). Reasonable assumptions were made to extract the measurement error. A model of an experiment wherein measurements are taken simultaneously at two stations and at two fixed times is analyzed in detail. To obtain a solution for this case it was necessary to make assumptions of equality of certain covariances of space and time variability. The model was then extended to the case of N > 2 temporal observations. In this case it was only necessary to assume a reasonable regularity among the random variables representing space variability. Methods for attacking the more general experiment are discussed briefly. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0729790

Entities

People

  • Louis D. Duncan

Organizations

  • Atmospheric Sciences Laboratory

Tags

DTIC Thesaurus Topics

  • Covariance
  • Data Science
  • Information Science
  • Mathematics
  • Measurement
  • Observation
  • Random Variables

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space