AN EXPERIMENT ON THE QUANTITATIVE DESCRIPTION OF FIELDS OF CLIMATOLOGICAL ELEMENTS BY MEANS OF ORTHOGONAL FUNCTIONS.

Abstract

The paper deals with the generalized problem of the quantitative description of fields of climatological elements by means of approximate analytical expressions. The present author is of the opinion that it is advantageous to use a linear combination of orthogonal functions as an approximate expression for the quantitative description of fields of climatological elements. A formula for the assessment of the accuracy of the computed results is also presented. Two numerical examples are given in which the 'descriptive' equations are represented by a linear expression. The coefficients of the linear expression are determined. The initial input data are correlated with the coefficients of the descriptive equations. The standard error of estimate and the variance ratio are computed. The importance of each linear coefficient is assessed by a comparison of the individual contribution to the multiple correlation coefficient.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1967
Accession Number
AD0662867

Entities

People

  • Yong-nian Shi

Organizations

  • Emmanuel College

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Equations
  • Errors
  • Republic

Readers

  • Calculus or Mathematical Analysis
  • Climatology
  • Regression Analysis.