1. INTRODUCTION

2. SAMPLE CREATION

3. LUMINOSITY FUNCTIONS AND DISTRIBUTIONS

4. SAMPLING THE MAXIMAL LUMINOSITIES: CREATION OF I.I.D. BATCHES AND HEALPIX-BASED PENCIL BEAMS

5. CLASSICAL THEORY

6. DISTRIBUTION OF MAXIMAL LUMINOSITIES AND THE EMPIRICAL FIRST ORDER CORRECTIONS

7. DISCUSSION AND CONCLUSION