1. Introduction
2. Samples
2.1. X-ray selected AGN from the XMM-LSS
2.2. X-ray selected AGN from the XMM-CDFS
2.3. XMM-COSMOS
2.4. Corrections for incompleteness of redshift and match
3. Probability distributions for absorption corrections
4. Binned luminosity function
5. Bayesian inference
5.1. Parametric form for the luminosity function
5.2. Luminosity and density evolution
5.3. Luminosity-dependent density evolution
5.4. Likelihood function
5.5. Results
5.6. Differences among individual surveys
6. Model comparison
7. On a proposed extension to LDDE
8. Discussion
8.1. LDDE vs. LADE
8.2. Redshift distribution
9. Conclusions