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Convergence to Stochastic Integrals for Dependent Heterogeneous Processes

Convergence to Stochastic Integrals for Dependent Heterogeneous Processes

This paper provides conditions to establish the weak convergence of stochastic integrals. The theorems are proved under the assumption that the innovations are strong mixing with uniformly bounded 2-h moments. Several applications of the results are given, relevant for the theories of estimation with I (1) processes, I (2) processes, …