1 INTRODUCTION

2 BAYESIAN INFERENCE

3 QUANTIFICATION OF SOURCE DETECTION

4 SOURCE LIKELIHOOD
4.1 Calculating the Covariance Matrix for Interferometric Images
4.2 Source Spatial Model
4.3 Source Spectral Model
4.4 The final likelihood
4.5 Comparison to the SERCH algorithm

5 APPLICATION TO A SIMULATED SURVEY
5.1 The Simulated Data Set

6 THE HUBBLE DEEP FIELD SURVEY
6.1 Expected Source Counts
6.2 The Blind Survey
6.3 Directed Searches
6.4 Comparison to D14

7 CONCLUSIONS