Accession Number : AD0870222

Title :   The Theory of Geodetic Observations.

Descriptive Note : Technical rept.,

Corporate Author : ARMY TOPOGRAPHIC COMMAND WASHINGTON DC

Personal Author(s) : Stukhart, George, Jr

Report Date : MAY 1970

Pagination or Media Count : 282

Abstract : The primary goal of this dissertation is an examination of the mathematical model of geodetic observations. This examination accomplishes two basic objectives, understanding the statistical nature of the model and appreciation of the effects of various hypotheses on the parameter and variance-covariance estimates. Only the linear observation equations with constant coefficients is treated, the model being classified into four fundamental categories according to the error distribution: normal, independent and homoscedatic, nonhomiscedatic, and correlated. Each of these is related through weighting and orthogonality principles, and effects due to correlation, singularity, nonnormality and improper weighting are discussed. The observation errors are random variables, there is a discussion of statistical modelling, as well as other basic concepts which the geodesist may need to know in order to evaluate adjustment results. (Author)

Descriptors :   *STATISTICAL ANALYSIS), (*SURVEYING(GEOGRAPHIC), MATHEMATICAL MODELS, SEQUENTIAL ANALYSIS, DECISION THEORY, STATISTICAL DISTRIBUTIONS, CORRELATION TECHNIQUES, MULTIVARIATE ANALYSIS, LEAST SQUARES METHOD, THESES.

Subject Categories : Geodesy
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE