Acoustic interactions between adjacent combustors via a cross-talk section have been investigated in a dual-combustor configuration. Acoustic pressure oscillations measured in two model combustors were used to calculate joint probability distribution functions (JPDF), instantaneous phase differences, and coherence spectra. Using the JPDF analysis, we show that the nature of adjacent combustor interactions can be retrieved by interpreting the distribution patterns. The instantaneous phase angle obtained using the Hilbert transform and the coherence spectra support our interpretation.