Bayes, Fiducial and Frequency Aspects of Statistical Inference in Regression Analysis in Survey‐Sampling

Abstract

In this paperan attempt ismadeto showhowthe regression analysisgenerally used for hypothetical populations can also be validated for the actual populations commonly dealt with in statistical surveys. This validation is based on a frequency distribution generated by randomization. In this context some comments are made on the relationships between Bayes, fiducial and frequency theories of statistical inference.