How do I simplify this templated vector initializer loop using lambdas or some kind of STL transform?

Programmer Question

How do I simplify this templated vector initializer loop using lambdas or some kind of STL transform?

template<typename T>
template<typename... Args>
DotProduct<T>::DotProduct(int n, RNG& rng, Args const&... args) {
    myBasis.resize(n);
    for (auto it = myBasis.begin(); it != myBasis.end(); ++it) {
        typename T::CPDDist cpd(rng, args...);
        *it = T(cpd);
    }
}

Find the answer here