The goodness of fit publications of J.C.W. Rayner

This thesis has two parts. The first is an overview, "The Development of the Smooth Tests of Goodness of Fit", of the submitted work. This overview is relatively brief, being approximately 5000 words long. The second part consists of the submitted publications themselves. These are listed below by year of publication, and alphabetically within year. The bulk of the thesis has necessitated it being bound in two volumes. The first volume consists of the overview and publications [1] to [18]. The second volume consists of publications [19] to [25].