Accession Number : ADA119728

Title :   The Form, and Some Robustness Properties of Integrated Distance Estimators for Linear Models, Applied to Some Published Data Sets.

Descriptive Note : Interim technical rept.,

Corporate Author : RENSSELAER POLYTECHNIC INST TROY NY

Personal Author(s) : Paulson,A S ; Nicklin,E H

PDF Url : ADA119728

Report Date : 01 Jun 1982

Pagination or Media Count : 44

Abstract : A critical procedure for use in linear models is introduced and developed in some detail. It is based on a nonlinear analogue to the usual linear least squares procedure, more specifically, in the integrated distance between characteristic functions (densities) and their sample counterparts. Location and scale parameters are estimated simultaneously. The procedure depends on a user specified parameter which may be varied to determine the sensitively of the parameters and observational weights to such variation. A sensitivity analysis of this type is useful in isolating potential problems with the data or with the assumed model. When the procedure is employed with the user-oriented parameter held fixed, a robust procedure results. The statistical properties of this procedure are discussed in some detail. A number of illustrations, taken from the literature, are examined. (Author)

Descriptors :   *Parametric analysis, *Estimates, *Linear systems, *Mathematical models, Least squares method, User needs, Specifications, Sensitivity, Observation, Weighting functions, Statistics, Density, Experimental design, Data acquisition, Sampling

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE