Composite Likelihood with RooStats/RooFit

Hi ROOTers and especially those using RooFit/RooStats,

For a toy model of a real application I was trying to build a composite likelihood using RooFit capabilities. The RooNLLVar class returns a proper Likelihood function though only for one given dataset. If I were to combine likelihoods to form a composite likelihood that can be fed into Minuit, I wonder whether there is anything that I could use.

To illustrate the case:
Suppose you have m-measurements of the same physical phenomenon but independent experiments. Each experiment can be fitted and returns you a “best value” for your model and gives an associated likelihood function L_i. Since all experiments describe the same physics one can combine the results and get a better constrained fit. In order to do that, one forms the combined (composite) likelihood

L = Product(L_i)

which depends on the same model parameters as each individual L_i.

I would be very glad if any of you guys could help me figuring out how to do this kind of task. Is there anything implemented in RooFit/RooStats?

Best