Modeling multi modal distribution

I have a probability distribution of multiple normal and cauchy functions. I would like to use Stan in order to fit my noisy data to the said model. However, I wonder how can I write the model block for a case when I have, for example three Normal and two cauchy?

See here.

I have to get back to this discussion here. Do you have any sample code for mixture model?
This time I have already the probability distribution curve and not the measurement data. Not sure how to implement it since my knowledge is limited. Could you please send me any implemented code so that I go through it?

There’s sample code for mixtures at the link. If you need further help you’ll have to give a more detailed description of your data and desired model, ideally with your first attempts at coding the latter in Stan.