  We consider a nonlinear Robin problem driven by the sum of $p$-Laplacian and
$q$-Laplacian (i.e. the $(p,q)$-equation). In the reaction there are competing
effects of a singular term and a parametric perturbation $\lambda f(z,x)$,
which is Carath\'eodory and $(p-1)$-superlinear at $x\in\mathbb{R},$ without
satisfying the Ambrosetti-Rabinowitz condition. Using variational tools,
together with truncation and comparison techniques, we prove a bifurcation-type
result describing the changes in the set of positive solutions as the parameter
$\lambda>0$ varies.
