Despite the great success of the standard model of cosmology, called ΛCDM (Lambda Cold Dark Matter) model, there are many open questions and problems associated with it. For example, this model is formulated in a space-time with positive curvature (de Sitter space-time), while gravity can probably only connected to quantum field theories in a space-time with negative curvature (Anti-de Sitter space-time). Moreover, the cosmological vacuum energy density is of the same order of magnitude as the matter energy density (coincidence problem) and shows a large discrepancy to the vacuum energy density of quantum field theories (cosmological constant problem). Also, it has recently been agreed that there is a tension between the early and late universe.As a minimum requirement for an alternative model, it should have a clear physical origin and keep the observational quality of the ΛCDM model. These conditions apply to the well-known brane world cosmology. However, to be an alternative, the quadratical energy density of this model requires an undesirable fine tuning.The paper develops a new brane world model which is formulated in an Anti-de Sitter (AdS) universe and avoids the quadratical energy density by using a holographic renormalisation. The renormalised quasilocal energy-momentum tensor is applied for space-time and matter as originally proposed by Brown and York (1993) and not as the expectation value of the energy-momentum tensor in the conformal field theory (CFT). On the AdS boundary it is demonstrated that this brane model equals an effective de Sitter ΛCDM model, whereas the brane model near the AdS boundary agrees to the ΛCDM 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.