In this paper, we generalize the concept of deferred density to that of deferred f–density, where f is an unbounded modulus and introduce a new non-matrix convergence method, namely deferred f–statistical convergence or Sp,qf–convergence. Apart from studying the Köthe-Toeplitz duals of Sp,qf, the space of deferred f–statistically convergent sequences, a decomposition theorem is also established. We also introduce a notion of strongly deferred Cesàro summable sequences defined by modulus f and investigate the relationship between deferred f–statistical convergence and strongly deferred Cesàro summable sequences defined by f.

Keywords: statistical convergence, modulus function, strong Cesà,ro summability, Kö,the-Toeplitz duals