The easy way keeps the N total number of variables. It’s overparameterized but probably won’t be a problem.
data {
int<lower=0> N;
}
parameters {
ordered[N] x;
}
transformed parameters {
vector[N] z = x - mean(x);
}
model {
x ~ std_normal();
}
I’d have to think more about how to do this without the extra 1 parameter.