Accession Number:

ADA045132

Title:

Robust Regression using Maximum-Likelihood Weighting and Assuming Cauchy-Distributed Random Error.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s):

• Moore,Harry Richard , II

Report Date:

1977-06-01

Pagination or Media Count:

59.0

Abstract:

Least-squares estimates of regression coefficients are extremely sensitive to large errors in even a single data point. Frequently, an ad-hoc procedure is used to weight the data in a manner of alleviate the effects of extreme observations. This thesis is a study of the effectiveness of an iterative regression method using weights derived through maximum-likelihood arguments. Actual weights are calculated on the assumption of Cauchy-distributed error as a worst-case situation in which the errors have long, fat tails and no finite moments. Author

Descriptors:

• *REGRESSION ANALYSIS
• *OPERATIONS RESEARCH
• MULTIVARIATE ANALYSIS
• THESES
• ERROR ANALYSIS
• LEAST SQUARES METHOD
• ITERATIONS
• DISTRIBUTION FUNCTIONS
• CAUCHY PROBLEM

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE