Ibragimov–Iosifescu conjecture for φ-mixing sequences

The Ibragimov–Iosifescu conjecture pertains to the behavior of certain types of stochastic processes, particularly concerning the convergence of $\phi$-mixing sequences. A sequence of random variables \((X_n)_{n \in \mathbb{N}}\) is said to be $\phi$-mixing if it satisfies a certain criterion that measures the dependence between random variables that are separated by a certain distance.