//
// This Stan program defines a simple model, with a
// vector of values 'y' modeled as normally distributed
// with mean 'mu' and standard deviation 'sigma'.
//
// Learn more about model development with Stan at:
//
//    http://mc-stan.org/users/interfaces/rstan.html
//    https://github.com/stan-dev/rstan/wiki/RStan-Getting-Started
//

// The input data is a vector 'y' of length 'N'.
data {
  int<lower=1> D;
  int<lower=1> N;
  int<lower=0, upper=1> y[N];
  row_vector[D] x[N];
}
parameters {
  real mu[D];
  real<lower=0> sigma[D];
}
model {
  sigma ~ gamma(2,0.1);
  mu ~ normal(0, sigma); //convert to mvnormal

  for (n in 1:N) {
    y[n] ~ bernoulli_logit(x[n] * mu);
  }
}