  The well-known brane world model of cosmology is an alternative to the
standard model of cosmology, called {\Lambda}CDM (Lambda Cold Dark Matter)
model. However, the quadratical energy density of the brane universe requires
an undesirable fine tuning. The paper develops a new Anti-de Sitter (AdS) brane
world model without the quadratical energy density by using a second Einstein
equation, which arises canonically during a holographic renormalisation. On the
AdS boundary it is demonstrated that this brane model equals an effective de
Sitter {\Lambda}CDM model, whereas the brane model near the AdS boundary agrees
to the {\Lambda}CDM model except the earliest times. Finally, it is shown that
the coincidence problem is avoided and the cosmological constant problem, if
not solved, is greatly reduced.
