Data Analysis And Robust Statistical Inference
Date of Award
1982
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Abstract
The performance of three cross-validatory estimators is compared with that of 11 well-known robust estimators considered by Stigler {lcub}1977{rcub}, by application to 24 real data sets.;In multiple regression, each observation is tested to see if it is an outlier. Cross-validatory procedure is then proposed to assign weights to those observations detected as outliers for the estimation of parameters.;The robustness of four predictors including a proposed new one which does not involve covariances of the order statistics, based on censored samples from the Weibull distribution is examined.;For the estimation of the centre of a symmetric distribution which is unknown, two robust estimators are proposed and their performance is investigated.;In the estimation of the three parameter Weibull distribution function it appears that almost similar distributions can be obtained by using a different set of estimators. This possibility is further examined by using graphical techniques.;In the one parameter distribution a test procedure based on prediction is proposed to detect outliers and the distribution of the test statistic is obtained.
Recommended Citation
Balasooriya, Uditha, "Data Analysis And Robust Statistical Inference" (1982). Digitized Theses. 1152.
https://ir.lib.uwo.ca/digitizedtheses/1152